-
1
-
-
0347129766
-
-
n. J. Combin. Theory Ser. B 90 (2004), no. 1, 21-39. MR2041316 (2005f:05040), Zbl 1033.05026.
-
n. J. Combin. Theory Ser. B 90 (2004), no. 1, 21-39. MR2041316 (2005f:05040), Zbl 1033.05026.
-
-
-
-
2
-
-
34347327215
-
-
Master's thesis, Department of Computer Science, Rochester Institute of Technology, Rochester, New York, U.S.A
-
AGNEW, MELANIE J. It's in the bag: Plane decompositions as tools for approximation. Master's thesis, Department of Computer Science, Rochester Institute of Technology, Rochester, New York, U.S.A., 2005.
-
(2005)
It's in the bag: Plane decompositions as tools for approximation
-
-
AGNEW, M.J.1
-
3
-
-
27644564296
-
-
AICHHOLZER, OSWIN; AURENHAMMER, FRANZ; KRASSER, HANNES. On the crossing number of complete graphs. Computing 76 (2006), no. 1, 165-176. MR2174677 (2006f:05047), Zbl 1082.05027.
-
AICHHOLZER, OSWIN; AURENHAMMER, FRANZ; KRASSER, HANNES. On the crossing number of complete graphs. Computing 76 (2006), no. 1, 165-176. MR2174677 (2006f:05047), Zbl 1082.05027.
-
-
-
-
4
-
-
85053742731
-
-
Springer, third edn, MR2014872 2004h:00002, Zbl 1098.00001
-
AIGNER, MARTIN; ZIEGLER, GÜNTER M. Proofs from The Book. Springer, third edn., 2004. MR2014872 (2004h:00002), Zbl 1098.00001.
-
(2004)
Proofs from The Book
-
-
AIGNER, M.1
ZIEGLER, G.M.2
-
5
-
-
77956962627
-
-
AJTAI, MIKLÓS; CHVÁTAL, VAŠEK; NEWBORN, MONROE M.; SZEMERÉDI, ENDRE. Crossingfree subgraphs. Theory and practice of combinatorics, 9-12, North-Holland Math. Stud., 60, North-Holland, Amsterdam, 1982. MR806962 (86k:05059), Zbl 0502.05021.
-
AJTAI, MIKLÓS; CHVÁTAL, VAŠEK; NEWBORN, MONROE M.; SZEMERÉDI, ENDRE. Crossingfree subgraphs. Theory and practice of combinatorics, 9-12, North-Holland Math. Stud., 60, North-Holland, Amsterdam, 1982. MR806962 (86k:05059), Zbl 0502.05021.
-
-
-
-
6
-
-
0037374155
-
-
ALON, NOGA; DING, GUOLI; OPOROWSKI, BOGDAN; VERTIGAN, DIRK. Partitioning into graphs with only small components. J. Combin. Theory Ser. B 87 (2003), no. 2, 231-243. MR1957474 (2004c:05146), Zbl 1023.05045.
-
ALON, NOGA; DING, GUOLI; OPOROWSKI, BOGDAN; VERTIGAN, DIRK. Partitioning into graphs with only small components. J. Combin. Theory Ser. B 87 (2003), no. 2, 231-243. MR1957474 (2004c:05146), Zbl 1023.05045.
-
-
-
-
7
-
-
84968494230
-
A separator theorem for nonplanar graphs
-
MR1065053 91h:05076, Zbl 0747.05051
-
ALON, NOGA; SEYMOUR, PAUL D.; THOMAS, ROBIN. A separator theorem for nonplanar graphs. J. Amer. Math. Soc. 3 (1990), no. 4, 801-808. MR1065053 (91h:05076), Zbl 0747.05051.
-
(1990)
J. Amer. Math. Soc
, vol.3
, Issue.4
, pp. 801-808
-
-
ALON, N.1
SEYMOUR, P.D.2
THOMAS, R.3
-
8
-
-
0021412333
-
A framework for solving VLSI graph layout problems
-
MR0760549 86g:68139
-
BHATT, SANDEEP N.; LEIGHTON, F. THOMSON. A framework for solving VLSI graph layout problems. J. Comput. System Sci. 28 (1984), no. 2, 300-343. MR0760549 (86g:68139).
-
(1984)
J. Comput. System Sci
, vol.28
, Issue.2
, pp. 300-343
-
-
BHATT, S.N.1
LEIGHTON, F.T.2
-
9
-
-
3142607299
-
-
BIEDL, THERESE; DEMAINE, ERIK D.; DUNCAN, CHRISTIAN A.; FLEISCHER, RUDOLF; KOBOUROV, STEPHEN G. Tight bounds on maximal and maximum matchings. Discrete Math. 285 (2004), no. 1-3, 7-15. MR2074836 (2005b:05179), Zbl 1044.05056.
-
BIEDL, THERESE; DEMAINE, ERIK D.; DUNCAN, CHRISTIAN A.; FLEISCHER, RUDOLF; KOBOUROV, STEPHEN G. Tight bounds on maximal and maximum matchings. Discrete Math. 285 (2004), no. 1-3, 7-15. MR2074836 (2005b:05179), Zbl 1044.05056.
-
-
-
-
10
-
-
84987564484
-
Bounds for rectilinear crossing numbers
-
MR1220994 94e:05134, Zbl 0777.05049
-
BIENSTOCK, DANIEL; DEAN, NATHANIEL. Bounds for rectilinear crossing numbers. J. Graph Theory 17 (1993), no. 3, 333-348. MR1220994 (94e:05134), Zbl 0777.05049.
-
(1993)
J. Graph Theory
, vol.17
, Issue.3
, pp. 333-348
-
-
BIENSTOCK, D.1
DEAN, N.2
-
11
-
-
0006740793
-
Planar graphs with bounded treewidth
-
Tech. Rep. RUU-CS-88-14, Department of Computer Science, University of Utrecht, Netherlands
-
BODLAENDER, HANS L. Planar graphs with bounded treewidth. Tech. Rep. RUU-CS-88-14, Department of Computer Science, University of Utrecht, Netherlands, 1988.
-
(1988)
-
-
BODLAENDER, H.L.1
-
12
-
-
0002981945
-
A partial k-arboretum of graphs with bounded treewidth
-
Zbl 0912.68148, MR1647486 99k:05146
-
BODLAENDER, HANS L. A partial k-arboretum of graphs with bounded treewidth. Theoret. Comput. Sci. 209 (1998), no. 1-2, 1-45. MR1647486 (99k:05146), Zbl 0912.68148.
-
(1998)
Theoret. Comput. Sci
, vol.209
, Issue.1-2
, pp. 1-45
-
-
BODLAENDER, H.L.1
-
13
-
-
34347340681
-
-
BODLAENDER, HANS L. A note on domino treewidth. Discrete Math. Theor. Comput. Sci. 3 (1999), no. 4, 141-150. MR1691565 (2000b:05078), Zbl 0912.68148.
-
BODLAENDER, HANS L. A note on domino treewidth. Discrete Math. Theor. Comput. Sci. 3 (1999), no. 4, 141-150. MR1691565 (2000b:05078), Zbl 0912.68148.
-
-
-
-
14
-
-
0041372866
-
Domino treewidth
-
MR1453952 98m:68200, Zbl 0882.68106
-
BODLAENDER, HANS L.; ENGELFRIET, JOOST. Domino treewidth. J. Algorithms 24 (1997), no. 1, 94-123. MR1453952 (98m:68200), Zbl 0882.68106.
-
(1997)
J. Algorithms
, vol.24
, Issue.1
, pp. 94-123
-
-
BODLAENDER, H.L.1
ENGELFRIET, J.2
-
15
-
-
33847659265
-
On the crossing numbers of cartesian products with paths
-
BOKAL, DRAGO. On the crossing numbers of cartesian products with paths. J. Combin. Theory Ser. B 97 (2007), no. 3, 381-384
-
(2007)
J. Combin. Theory Ser. B
, vol.97
, Issue.3
, pp. 381-384
-
-
BOKAL, D.1
-
16
-
-
33847300553
-
-
BOKAL, DRACO; CZABARKA, ÉVA; SZÉKELY, LÁSZLÓ A.; VRT́O, IMRICH. Graph minors and the crossing number of graphs. Electron. Notes Discrete Math. 28 (2007), 169-175.
-
BOKAL, DRACO; CZABARKA, ÉVA; SZÉKELY, LÁSZLÓ A.; VRT́O, IMRICH. Graph minors and the crossing number of graphs. Electron. Notes Discrete Math. 28 (2007), 169-175.
-
-
-
-
17
-
-
33847292626
-
-
BOKAL, DRACO; FIJAVŽ, GAŠPER; MOHAR, BOJAN. The minor crossing number. SIAM J. Discrete Math. 20 (2006), no. 2, 344-356. MR2257266.
-
BOKAL, DRACO; FIJAVŽ, GAŠPER; MOHAR, BOJAN. The minor crossing number. SIAM J. Discrete Math. 20 (2006), no. 2, 344-356. MR2257266.
-
-
-
-
18
-
-
34347345086
-
-
BOKAL, DRAGO; FIJAVŽ, GAŠPER; WOOD, DAVID R. The minor crossing number of graphs with an excluded minor (2006). arXiv:math/0609707.
-
BOKAL, DRAGO; FIJAVŽ, GAŠPER; WOOD, DAVID R. The minor crossing number of graphs with an excluded minor (2006). arXiv:math/0609707.
-
-
-
-
19
-
-
33748774112
-
-
BÖRÖCZKY, KÁROLY; PACK, JÁNOS; TÓTH, GÉZA. Planar crossing numbers of graphs embeddable in another surface. Internat. J. Found. Comput. Sci. 17 (2006), no. 5, 1005-1015. MR2270948, Zbl 1100.68075.
-
BÖRÖCZKY, KÁROLY; PACK, JÁNOS; TÓTH, GÉZA. Planar crossing numbers of graphs embeddable in another surface. Internat. J. Found. Comput. Sci. 17 (2006), no. 5, 1005-1015. MR2270948, Zbl 1100.68075.
-
-
-
-
20
-
-
84867977564
-
-
BRODSKY, ALEX; DUROCHER, STEPHANE; GETHNER, ELLEN. Toward the rectilinear crossing number of Kn. new drawings, upper bounds, and asymptotics. Discrete Math. 262 (2003), no. 1-3, 59-77. MR1951377 (2003i:05039), Zbl 1013.05027.
-
BRODSKY, ALEX; DUROCHER, STEPHANE; GETHNER, ELLEN. Toward the rectilinear crossing number of Kn. new drawings, upper bounds, and asymptotics. Discrete Math. 262 (2003), no. 1-3, 59-77. MR1951377 (2003i:05039), Zbl 1013.05027.
-
-
-
-
21
-
-
84973933877
-
The bisection width of cubic graphs
-
Zbl 0681.05040, MR0995136 90m:05072
-
CLARK, LANE H.; ENTRINGER, ROGER C. The bisection width of cubic graphs. Bull. Austral. Math. Soc. 39 (1989), no. 3, 389-396. MR0995136 (90m:05072), Zbl 0681.05040.
-
(1989)
Bull. Austral. Math. Soc
, vol.39
, Issue.3
, pp. 389-396
-
-
CLARK, L.H.1
ENTRINGER, R.C.2
-
22
-
-
8844285278
-
-
CZABARKA, ÉVA; SÝKORA, ONDREJ; SZÉKELY, LÁSZLÓ A.; VRT'O, IMRICH. Outerplanar crossing numbers, the circular arrangement problem and isoperimetric functions. Electron. J. Combin. 11 (2004), no. 1, R81. MR.2114185 (2006b:05040), Zbl 1080.05022.
-
CZABARKA, ÉVA; SÝKORA, ONDREJ; SZÉKELY, LÁSZLÓ A.; VRT'O, IMRICH. Outerplanar crossing numbers, the circular arrangement problem and isoperimetric functions. Electron. J. Combin. 11 (2004), no. 1, R81. MR.2114185 (2006b:05040), Zbl 1080.05022.
-
-
-
-
23
-
-
20744453821
-
-
DEMAINE, ERIC D.; HAJIAGHAYI, MOHAMMADTAGHI. Graphs excluding a fixed minor have grids as large as treewidth, with combinatorial and algorithmic applications through bidimensionality. Proc. 16th Annual ACM-SIAM Symp. on Discrete Algorithms (SODA '05), 682-689. ACM, 2005.
-
DEMAINE, ERIC D.; HAJIAGHAYI, MOHAMMADTAGHI. Graphs excluding a fixed minor have grids as large as treewidth, with combinatorial and algorithmic applications through bidimensionality. Proc. 16th Annual ACM-SIAM Symp. on Discrete Algorithms (SODA '05), 682-689. ACM, 2005.
-
-
-
-
24
-
-
33748589985
-
Algorithmic graph minor theory: Decomposition, approximation, and coloring
-
IEEE
-
DEMAINE, ERIK D.; HAJIAGHAYI, MOHAMMADTAGHI; KAWARABAYASHI, KEN-ICHI. Algorithmic graph minor theory: Decomposition, approximation, and coloring. Proc. 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS '05), 637-646. IEEE, 2005.
-
(2005)
Proc. 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS '05)
, pp. 637-646
-
-
DEMAINE, E.D.1
HAJIAGHAYI, M.2
KAWARABAYASHI, K.3
-
25
-
-
2342457822
-
-
DEVOS, MATT; DING, GUOLI; OPOROWSKI, BOGDAN; SANDERS, DANIEL P.; REED, BRUCE; SEYMOUR, PAUL; VERTIGAN, DIRK. Excluding any graph as a minor allows a low tree-width 2-coloring. J. Combin. Theory Ser. B 91 (2004), no. 1, 25-11. MR2047529 (2004m:05247), Zbl 1042.05036.
-
DEVOS, MATT; DING, GUOLI; OPOROWSKI, BOGDAN; SANDERS, DANIEL P.; REED, BRUCE; SEYMOUR, PAUL; VERTIGAN, DIRK. Excluding any graph as a minor allows a low tree-width 2-coloring. J. Combin. Theory Ser. B 91 (2004), no. 1, 25-11. MR2047529 (2004m:05247), Zbl 1042.05036.
-
-
-
-
26
-
-
0141921576
-
-
DÍAZ, JOSEP; DO, NORMAN; SERNA, MARIA J.; WORMALD, NICHOLAS C. Bounds on the max and min bisection of random cubic and random 4-regular graphs. Theoret. Comput. Sci. 307 (2003), no. 3, 531-547. MR2021746 (2005h:05184), Zbl 1070.68119.
-
DÍAZ, JOSEP; DO, NORMAN; SERNA, MARIA J.; WORMALD, NICHOLAS C. Bounds on the max and min bisection of random cubic and random 4-regular graphs. Theoret. Comput. Sci. 307 (2003), no. 3, 531-547. MR2021746 (2005h:05184), Zbl 1070.68119.
-
-
-
-
27
-
-
8344275861
-
-
DIESTEL, REINHARD; KÜHN, DANIELA. Graph minor hierarchies. Discrete Appl. Math. 145 (2005), no. 2, 167-182. MR2113139 (20051:05180), Zbl 1055.05140.
-
DIESTEL, REINHARD; KÜHN, DANIELA. Graph minor hierarchies. Discrete Appl. Math. 145 (2005), no. 2, 167-182. MR2113139 (20051:05180), Zbl 1055.05140.
-
-
-
-
28
-
-
84987493196
-
Some results on tree decomposition of graphs
-
MR1358539 96m:05053, Zbl 0837.05044
-
DING, GUOLI; OPOROWSKI, BOGDAN. Some results on tree decomposition of graphs. J. Graph Theory 20 (1995), no. 4, 481-499. MR1358539 (96m:05053), Zbl 0837.05044.
-
(1995)
J. Graph Theory
, vol.20
, Issue.4
, pp. 481-499
-
-
DING, G.1
OPOROWSKI, B.2
-
29
-
-
0013499485
-
On tree-partitions of graphs
-
MR1375097 97a:05168, Zbl 0844.05078
-
DING, GUOLI; OPOROWSKI, BOGDAN. On tree-partitions of graphs. Discrete Math. 149 (1996), no. 1-3, 45-58. MR1375097 (97a:05168), Zbl 0844.05078.
-
(1996)
Discrete Math
, vol.149
, Issue.1-3
, pp. 45-58
-
-
DING, G.1
OPOROWSKI, B.2
-
30
-
-
0032440263
-
-
DING, GUOLI; OPOROWSKI, BOGDAN; SANDERS, DANIEL P.; VERTIGAN, DIRK. Partitioning graphs of bounded tree-width. Combinatorica 18 (1998), no. 1, 1-12. MR1645638 (991:05162), Zbl 0924.05022.
-
DING, GUOLI; OPOROWSKI, BOGDAN; SANDERS, DANIEL P.; VERTIGAN, DIRK. Partitioning graphs of bounded tree-width. Combinatorica 18 (1998), no. 1, 1-12. MR1645638 (991:05162), Zbl 0924.05022.
-
-
-
-
31
-
-
0242449041
-
-
DING, GUOLI; OPOROWSKI, BOGDAN; SANDERS, DANIEL P.; VERTIGAN, DIRK. Surfaces, treewidth, clique-minors, and partitions. J. Combin. Theory Ser. B 79 (2000), no. 2, 221-246. MR1769192 (20011:05059), Zbl 1029.05041.
-
DING, GUOLI; OPOROWSKI, BOGDAN; SANDERS, DANIEL P.; VERTIGAN, DIRK. Surfaces, treewidth, clique-minors, and partitions. J. Combin. Theory Ser. B 79 (2000), no. 2, 221-246. MR1769192 (20011:05059), Zbl 1029.05041.
-
-
-
-
32
-
-
85137959664
-
-
DJIDJEV, HRISTO N.; VRT'O, IMRICH. Crossing numbers and cutwidths. J. Graph Algorithms Appl. 7 (2003), no. 3, 245-251. MR2112230 (2005h:05055), Zbl 1066.05054.
-
DJIDJEV, HRISTO N.; VRT'O, IMRICH. Crossing numbers and cutwidths. J. Graph Algorithms Appl. 7 (2003), no. 3, 245-251. MR2112230 (2005h:05055), Zbl 1066.05054.
-
-
-
-
33
-
-
33746364520
-
-
DJIDJEV, HRISTO N.; VRŤO, IMRICH. Planar crossing numbers of genus g graphs. Proc. SSrd International Colloquium on Automata, Languages and Programming (ICALP '06) (BUGLIESI, MICHELE; PRENEEL, BART; SASSONE, VLADIMIRO; WEGENER, INGO, eds.), Lecture Notes in Comput. Sci., 4051, 419-430. Springer, 2006.
-
DJIDJEV, HRISTO N.; VRŤO, IMRICH. Planar crossing numbers of genus g graphs. Proc. SSrd International Colloquium on Automata, Languages and Programming (ICALP '06) (BUGLIESI, MICHELE; PRENEEL, BART; SASSONE, VLADIMIRO; WEGENER, INGO, eds.), Lecture Notes in Comput. Sci., 4051, 419-430. Springer, 2006.
-
-
-
-
34
-
-
20544471707
-
-
DUJMOVIÓ, VIDA; MORIN, PAT; WOOD, DAVID R. Layout of graphs with bounded tree-width. SIAM J. Comput. 34 (2005), no. 3, 553-579. MR2137079 (2006a:05103), Zbl 1069.05055.
-
DUJMOVIÓ, VIDA; MORIN, PAT; WOOD, DAVID R. Layout of graphs with bounded tree-width. SIAM J. Comput. 34 (2005), no. 3, 553-579. MR2137079 (2006a:05103), Zbl 1069.05055.
-
-
-
-
35
-
-
0022581632
-
-
EDENBRANDT, ANDERS. Quotient tree partitioning of undirected graphs. BIT 26 (1986), no. 2, 148-155. MR0840323 (87g:05077), Zbl 0591.68070.
-
EDENBRANDT, ANDERS. Quotient tree partitioning of undirected graphs. BIT 26 (1986), no. 2, 148-155. MR0840323 (87g:05077), Zbl 0591.68070.
-
-
-
-
36
-
-
0002436460
-
Crossing number problems
-
MR0382006, Zbl 0264.05109
-
ERDÖS, PAUL; GUY, RICHARD K. Crossing number problems. Amer. Math. Monthly 80 (1973), 52-58. MR0382006, Zbl 0264.05109.
-
(1973)
Amer. Math. Monthly
, vol.80
, pp. 52-58
-
-
ERDÖS, P.1
GUY, R.K.2
-
37
-
-
0001567493
-
On straight line representation of planar graphs
-
MR0026311 10,136f, Zbl 0030.17902
-
FÁRY, ISTVAN. On straight line representation of planar graphs. Acta Univ. Szeged. Sect. Sci. Math. 11 (1948), 229-233. MR0026311 (10,136f), Zbl 0030.17902.
-
(1948)
Acta Univ. Szeged. Sect. Sci. Math
, vol.11
, pp. 229-233
-
-
FÁRY, I.1
-
38
-
-
25444529218
-
-
GARCIA-MORENO, ENRIQUE; SALAZAR, GELASIO. Bounding the crossing number of a graph in terms of the crossing number of a minor with small maximum degree. J. Graph Theory 36 (2001), no. 3, 168-173. MR1814533 (2001m:05093), Zbl 0979.05033.
-
GARCIA-MORENO, ENRIQUE; SALAZAR, GELASIO. Bounding the crossing number of a graph in terms of the crossing number of a minor with small maximum degree. J. Graph Theory 36 (2001), no. 3, 168-173. MR1814533 (2001m:05093), Zbl 0979.05033.
-
-
-
-
39
-
-
0000348622
-
Crossing number is NP-complete
-
Zbl 0536.05016, MR0711340 85a:68070
-
GAREY, MICAHEL R.; JOHNSON, DAVID S. Crossing number is NP-complete. SIAM J. Algebraic Discrete Methods 4 (1983), no. 3, 312-316. MR0711340 (85a:68070), Zbl 0536.05016.
-
(1983)
SIAM J. Algebraic Discrete Methods
, vol.4
, Issue.3
, pp. 312-316
-
-
GAREY, M.R.1
JOHNSON, D.S.2
-
40
-
-
4043170666
-
-
GEELEN, JAMES F.; RICHTER, R. BR.UCE; SALAZAR, GELASIO. Embedding grids in surfaces. European J. Combin. 25 (2004), no. 6, 785-792. MR2079898 (2005c:05057), Zbl 1050.05035.
-
GEELEN, JAMES F.; RICHTER, R. BR.UCE; SALAZAR, GELASIO. Embedding grids in surfaces. European J. Combin. 25 (2004), no. 6, 785-792. MR2079898 (2005c:05057), Zbl 1050.05035.
-
-
-
-
41
-
-
4444382166
-
-
n is as conjectured for n ≥ m(m + 1). J. Graph Theory 47 (2004), no. 1, 53-72. MR2079290 (2005c:05058), Zbl 1053.05032.
-
n is as conjectured for n ≥ m(m + 1). J. Graph Theory 47 (2004), no. 1, 53-72. MR2079290 (2005c:05058), Zbl 1053.05032.
-
-
-
-
42
-
-
1842816566
-
-
GROHE, MARTIN. Local tree-width, excluded minors, and approximation algorithms. Combinatorica 23 (2003), no. 4, 613-632. MR2046826 (2004m:05248), Zbl 1089.05503.
-
GROHE, MARTIN. Local tree-width, excluded minors, and approximation algorithms. Combinatorica 23 (2003), no. 4, 613-632. MR2046826 (2004m:05248), Zbl 1089.05503.
-
-
-
-
43
-
-
0042240271
-
Tree-partitions of infinite graphs
-
MR1140802 93b:05044, Zbl 0763.05027
-
HALIN, RUDOLF. Tree-partitions of infinite graphs. Discrete Math. 97 (1991), 203-217. MR1140802 (93b:05044), Zbl 0763.05027.
-
(1991)
Discrete Math
, vol.97
, pp. 203-217
-
-
HALIN, R.1
-
44
-
-
0037673584
-
-
HLINĚNY, PETR. Crossing-number critical graphs have bounded path-width. J. Combin. Theory Ser. B 88 (2003), no. 2, 347-367. MR1983364 (2004c:05060), Zbl 1021.05028.
-
HLINĚNY, PETR. Crossing-number critical graphs have bounded path-width. J. Combin. Theory Ser. B 88 (2003), no. 2, 347-367. MR1983364 (2004c:05060), Zbl 1021.05028.
-
-
-
-
45
-
-
33646810118
-
-
HLINÈNÝ, PETR. Crossing number is hard for cubic graphs. J. Combin. Theory Ser. B 96 (2006), no. 4, 455-471. MR2232384 (2007c:05056), Zbl 1092.05016.
-
HLINÈNÝ, PETR. Crossing number is hard for cubic graphs. J. Combin. Theory Ser. B 96 (2006), no. 4, 455-471. MR2232384 (2007c:05056), Zbl 1092.05016.
-
-
-
-
46
-
-
33847401951
-
Some recent progress and applications in graph minor theory
-
KAWARABAYASHI, KEN-ICHI; MOHAR, BOJAN. Some recent progress and applications in graph minor theory. Graphs Combin. 23 (2007), no. 1, 1-46.
-
(2007)
Graphs Combin
, vol.23
, Issue.1
, pp. 1-46
-
-
KAWARABAYASHI, K.1
MOHAR, B.2
-
47
-
-
0002144725
-
The minimum Hadwiger number for graphs with a given mean degree of vertices
-
Zbl 0544.05037, MR0713722 85c:05018
-
KOSTOCHKA, ALEXANDR V. The minimum Hadwiger number for graphs with a given mean degree of vertices. Metody Diskret. Analiz. 38 (1982), 37-58. MR0713722 (85c:05018), Zbl 0544.05037.
-
(1982)
Metody Diskret. Analiz
, vol.38
, pp. 37-58
-
-
KOSTOCHKA, A.V.1
-
48
-
-
34347330309
-
-
LEAÑOS, JESÚS; SALAZAR, GELASIO. On the additivity of crossing numbers of graphs, 2006. http://www.ifisica.uaslp.mx/~gBalazaiyRESEARCH/additivity.pdf.
-
LEAÑOS, JESÚS; SALAZAR, GELASIO. On the additivity of crossing numbers of graphs, 2006. http://www.ifisica.uaslp.mx/~gBalazaiyRESEARCH/additivity.pdf.
-
-
-
-
49
-
-
0003533508
-
Complexity issues in VLSI
-
ISBN 0262121042
-
LEIGHTON, F. THOMSON. Complexity issues in VLSI. MIT Press, 1983. ISBN 0262121042.
-
(1983)
MIT Press
-
-
LEIGHTON, F.T.1
-
50
-
-
0002621814
-
New lower bound techniques for VLSI
-
Zbl 0488.94048, MR0738751 85d:68040
-
LEIGHTON, F. THOMSON. New lower bound techniques for VLSI. Math. Systems Theory 17 (1984), no. 1, 47-70. MR0738751 (85d:68040), Zbl 0488.94048.
-
(1984)
Math. Systems Theory
, vol.17
, Issue.1
, pp. 47-70
-
-
LEIGHTON, F.T.1
-
51
-
-
34347364717
-
-
LOVÁSZ, LÁSZLÓ; VESZTERGOMBI, KATALIN; WAGNER, ULI; WELZL, EMO. Convex quadrilaterals and k-sets. In PACK [57], 139-148. MR.2065247 (2004m:05004), Zbl 1052.05004.
-
LOVÁSZ, LÁSZLÓ; VESZTERGOMBI, KATALIN; WAGNER, ULI; WELZL, EMO. Convex quadrilaterals and k-sets. In PACK [57], 139-148. MR.2065247 (2004m:05004), Zbl 1052.05004.
-
-
-
-
52
-
-
34347340683
-
-
MOHAR, BOJAN; THOMASSEN, GARSTEN. Graphs on surfaces. Johns Hopkins University Press, Baltimore, U.S.A., 2001. MR1844449 (2002e:05050), Zbl 0979.05002.
-
MOHAR, BOJAN; THOMASSEN, GARSTEN. Graphs on surfaces. Johns Hopkins University Press, Baltimore, U.S.A., 2001. MR1844449 (2002e:05050), Zbl 0979.05002.
-
-
-
-
53
-
-
26444439064
-
-
MONTARON, BERNARD. An improvement of the crossing number bound. J. Graph Theory 50 (2005), no. 1, 43-54. MR2157537 (2006b:05047), Zbl 1073.05020.
-
MONTARON, BERNARD. An improvement of the crossing number bound. J. Graph Theory 50 (2005), no. 1, 43-54. MR2157537 (2006b:05047), Zbl 1073.05020.
-
-
-
-
54
-
-
3042671399
-
-
m,n. Electron. J. Combin. 10 (2003), N8. MR2014536 (20041:05039), Zbl 1023.05039.
-
m,n. Electron. J. Combin. 10 (2003), N8. MR2014536 (20041:05039), Zbl 1023.05039.
-
-
-
-
55
-
-
25444529715
-
-
NEGAMI, SEIYA. Crossing numbers of graph embedding pairs on closed surfaces. J. Graph Theory 36 (2001), no. 1, 8-23. MR1803630 (2001m:05097), Zbl 0971.05037.
-
NEGAMI, SEIYA. Crossing numbers of graph embedding pairs on closed surfaces. J. Graph Theory 36 (2001), no. 1, 8-23. MR1803630 (2001m:05097), Zbl 0971.05037.
-
-
-
-
56
-
-
39749119880
-
-
NEŠETŘIL, JAROSLAV; OSSONA DE MENDEZ, PATRICE. Grad and classes with bounded expan-sion I. Decompositions. European J. Combin. (in press). http://dx.doi.org/10.1016/j.ejc.2006.07.013.
-
NEŠETŘIL, JAROSLAV; OSSONA DE MENDEZ, PATRICE. Grad and classes with bounded expan-sion I. Decompositions. European J. Combin. (in press). http://dx.doi.org/10.1016/j.ejc.2006.07.013.
-
-
-
-
57
-
-
34347334631
-
Towards a theory of geometric graphs, Contemporary Mathematics, 342
-
ed, MR2065247 2004m:05004, Zbl 1052.05004
-
PACH, JÁNOS, ed. Towards a theory of geometric graphs, Contemporary Mathematics, 342. Amer. Math. Soc., Providence, 2004. MR2065247 (2004m:05004), Zbl 1052.05004.
-
(2004)
Amer. Math. Soc., Providence
-
-
-
58
-
-
33750346859
-
Improving the crossing lemma by finding more crossings in sparse graphs
-
MR2267545, Zbl 1104.05022
-
PACH, JÁNOS; RADOIǑIĆ, RADOS; TARDOS, GÁBOR; TÓTH, GÉZA. Improving the crossing lemma by finding more crossings in sparse graphs. Discrete Comput. Geom. 36 (2006), no. 4, 527-552. MR2267545, Zbl 1104.05022.
-
(2006)
Discrete Comput. Geom
, vol.36
, Issue.4
, pp. 527-552
-
-
PACH, J.1
RADOIǑIĆ, R.2
TARDOS, G.3
TÓTH, G.4
-
59
-
-
1542501882
-
Applications of the crossing number
-
MR1394496 97h:05054, Zbl 0851.68088
-
PACH, JÁNOS; SHAHROKHI, FARHAD; SZEGEDY, MARIO. Applications of the crossing number. Algorithmica 16 (1996), no. 1, 111-117. MR1394496 (97h:05054), Zbl 0851.68088.
-
(1996)
Algorithmica
, vol.16
, Issue.1
, pp. 111-117
-
-
PACH, J.1
SHAHROKHI, F.2
SZEGEDY, M.3
-
60
-
-
0032327160
-
On the number of incidences between points and curves
-
MR1611057 99b:52037, Zbl 0901.52016
-
PACH, JÁNOS; SHARIR, MICHA. On the number of incidences between points and curves. Combin. Probab. Comput. 7 (1998), no. 1, 121-127. MR1611057 (99b:52037), Zbl 0901.52016.
-
(1998)
Combin. Probab. Comput
, vol.7
, Issue.1
, pp. 121-127
-
-
PACH, J.1
SHARIR, M.2
-
61
-
-
0031455815
-
Graphs drawn with few crossings per edge
-
MR1606052 99b:05043, Zbl 0902.05017
-
PACH, JÁNOS; TÓTH, GÉZA. Graphs drawn with few crossings per edge. Combinatorica 17 (1997), no. 3, 427-439. MR1606052 (99b:05043), Zbl 0902.05017.
-
(1997)
Combinatorica
, vol.17
, Issue.3
, pp. 427-439
-
-
PACH, J.1
TÓTH, G.2
-
62
-
-
0034311833
-
-
PACH, JÁNOS; TÓTH, GÉZA. Which crossing number is it anyway? J. Combin. Theory Ser. B 80 (2000), no. 2, 225-246. MR1794693 (2001h:05034), Zbl 1023.05042.
-
PACH, JÁNOS; TÓTH, GÉZA. Which crossing number is it anyway? J. Combin. Theory Ser. B 80 (2000), no. 2, 225-246. MR1794693 (2001h:05034), Zbl 1023.05042.
-
-
-
-
63
-
-
33745677480
-
-
PACH, JÁNOS; TÓTH, GÉZA. Crossing number of toroidal graphs. Proc. ISth International Symp. on Graph Drawing (GD '05) (HEALY, PATRICK; NLKOLOV, NIKOLA S., eds.), Lecture Notes in Comput. Sci., 3843, 334-342. Springer, Berlin, 2006. MR2244523.
-
PACH, JÁNOS; TÓTH, GÉZA. Crossing number of toroidal graphs. Proc. ISth International Symp. on Graph Drawing (GD '05) (HEALY, PATRICK; NLKOLOV, NIKOLA S., eds.), Lecture Notes in Comput. Sci., 3843, 334-342. Springer, Berlin, 2006. MR2244523.
-
-
-
-
64
-
-
34347336592
-
-
PELSMAJER, MICHAEL J.; SCHAEFER, MARCUS; ŠTEFANKOVIĆ, DANIEL. Crossing number of graphs with rotation systems. Tech. Rep. 05-017, School of Computer Science, Telecommunications and Information Systems, DePaul University, Chicago, U.S.A., 2005.
-
PELSMAJER, MICHAEL J.; SCHAEFER, MARCUS; ŠTEFANKOVIĆ, DANIEL. Crossing number of graphs with rotation systems. Tech. Rep. 05-017, School of Computer Science, Telecommunications and Information Systems, DePaul University, Chicago, U.S.A., 2005.
-
-
-
-
65
-
-
84957362320
-
-
PURCHASE, HELEN. Which aesthetic has the greatest effect on human understanding? Proc. 5th International Symp. on Graph Drawing (GD '97) (DL BATTISTA, GLUSEPPE, ed.), Lecture Notes in Comput. Sci., 1353, 248-261. Springer, 1997.
-
PURCHASE, HELEN. Which aesthetic has the greatest effect on human understanding? Proc. 5th International Symp. on Graph Drawing (GD '97) (DL BATTISTA, GLUSEPPE, ed.), Lecture Notes in Comput. Sci., 1353, 248-261. Springer, 1997.
-
-
-
-
66
-
-
0032335892
-
Performance of layout algorithms: Comprehension, not computation
-
PURCHASE, HELEN C. Performance of layout algorithms: Comprehension, not computation. J. Visual Languages and Computing 9 (1998), 647-657.
-
(1998)
J. Visual Languages and Computing
, vol.9
, pp. 647-657
-
-
PURCHASE, H.C.1
-
67
-
-
84883570199
-
An experimental study of the basis for graph drawing algorithms
-
PURCHASE, HELEN C.; COHEN, ROBERT F.; JAMES, MURRAY I. An experimental study of the basis for graph drawing algorithms. ACM J. Experimental Algorithmics 2 (1997), no. 4. http://www.jea.acm.org/1997/PurchaseDrawing/.
-
(1997)
ACM J. Experimental Algorithmics
, vol.2
, Issue.4
-
-
PURCHASE, H.C.1
COHEN, R.F.2
JAMES, M.I.3
-
68
-
-
34347349148
-
-
REED, BRUCE A. Algorithmic aspects of tree width. Recent Advances in Algorithms and Combinatorics (REED, BRUCE A.; SALES, CLAUDIA L., eds.), 85-107. CMS Books Math./Ouvrages Math. SMC, 11, Springer, New York, 2003. MR1952984 (2003m:05199), Zbl 1035.05090.
-
REED, BRUCE A. Algorithmic aspects of tree width. Recent Advances in Algorithms and Combinatorics (REED, BRUCE A.; SALES, CLAUDIA L., eds.), 85-107. CMS Books Math./Ouvrages Math. SMC, 11, Springer, New York, 2003. MR1952984 (2003m:05199), Zbl 1035.05090.
-
-
-
-
69
-
-
1542475883
-
3,n in a surface
-
Zbl 0838.05033, MR1363689 96i:05054
-
3,n in a surface. J. Graph Theory 21 (1996), no. 1, 51-54. MR1363689 (96i:05054), Zbl 0838.05033.
-
(1996)
J. Graph Theory
, vol.21
, Issue.1
, pp. 51-54
-
-
RICHTER1
BRUCE, R.2
-
71
-
-
0031504393
-
Relations between crossing numbers of complete and complete bipartite graphs
-
Zbl 0872.05010, MR1437414 98f:05054
-
RICHTER, R. BRUCE; THOMASSEN, CARSTEN. Relations between crossing numbers of complete and complete bipartite graphs. Amer. Math. Monthly 104 (1997), no. 2, 131-137. MR1437414 (98f:05054), Zbl 0872.05010.
-
(1997)
Amer. Math. Monthly
, vol.104
, Issue.2
, pp. 131-137
-
-
RICHTER, R.B.1
THOMASSEN, C.2
-
72
-
-
84951603788
-
Das Geschlecht des vollständigen paaren Graphen
-
MR0189012, Zbl 0132.21203
-
RINGEL, GERHARD. Das Geschlecht des vollständigen paaren Graphen. Abh. Math. Sem. Univ. Hamburg 28 (1965), 139-150. MR0189012, Zbl 0132.21203.
-
(1965)
Abh. Math. Sem. Univ. Hamburg
, vol.28
, pp. 139-150
-
-
RINGEL, G.1
-
73
-
-
0003899618
-
-
Springer-Verlag, MR0349461, Zbl 0287.05102
-
RINGEL, GERHARD. Map color theorem. Springer-Verlag, 1974. MR0349461, Zbl 0287.05102.
-
(1974)
Map color theorem
-
-
RINGEL, G.1
-
74
-
-
34347328254
-
On the outerplanar crossing numbers of Km,n
-
MR1999850, Zbl 1048.05033
-
m,n. Bull. Inst. Combin. Appl. 39 (2003), 16-20. MR1999850, Zbl 1048.05033.
-
(2003)
Bull. Inst. Combin. Appl
, vol.39
, pp. 16-20
-
-
RISKIN, A.1
-
75
-
-
0031146074
-
The fourcolour theorem
-
MR1441258 98c:05065, Zbl 0883.05056
-
ROBERTSON, NEIL; SANDERS, DANIEL P.; SEYMOUR, PAUL D.; THOMAS, ROBIN. The fourcolour theorem. J. Combin. Theory Ser. B 70 (1997), no. 1, 2-4. MR1441258 (98c:05065), Zbl 0883.05056.
-
(1997)
J. Combin. Theory Ser. B
, vol.70
, Issue.1
, pp. 2-4
-
-
ROBERTSON, N.1
SANDERS, D.P.2
SEYMOUR, P.D.3
THOMAS, R.4
-
76
-
-
0000673493
-
Graph minors. II. Algorithmic aspects of tree-width
-
Zbl 0611.05017, MR0855559 88c:05053
-
ROBERTSON, NEIL; SEYMOUR, PAUL D. Graph minors. II. Algorithmic aspects of tree-width. J. Algorithms 7 (1986), no. 3, 309-322. MR0855559 (88c:05053), Zbl 0611.05017.
-
(1986)
J. Algorithms
, vol.7
, Issue.3
, pp. 309-322
-
-
ROBERTSON, N.1
SEYMOUR, P.D.2
-
77
-
-
0141538200
-
-
ROBERTSON, NEIL; SEYMOUR, PAUL D. Graph minors. XVI. Excluding a non-planar graph. J. Combin. Theory Ser. B 89 (2003), no. 1, 43-76. MR1999736 (2004f:05168), Zbl 1023.05040.
-
ROBERTSON, NEIL; SEYMOUR, PAUL D. Graph minors. XVI. Excluding a non-planar graph. J. Combin. Theory Ser. B 89 (2003), no. 1, 43-76. MR1999736 (2004f:05168), Zbl 1023.05040.
-
-
-
-
78
-
-
9144239509
-
-
ROBERTSON, NEIL; SEYMOUR, PAUL D. Graph minors. XX. Wagner's conjecture. J. Combin. Theory Ser. B 92 (2004), no. 2, 325-357. MR2099147 (2005m:05204), Zbl 1061.05088.
-
ROBERTSON, NEIL; SEYMOUR, PAUL D. Graph minors. XX. Wagner's conjecture. J. Combin. Theory Ser. B 92 (2004), no. 2, 325-357. MR2099147 (2005m:05204), Zbl 1061.05088.
-
-
-
-
79
-
-
21844519141
-
The rectilinear crossing number of a complete graph and Sylvester's "four point problem" of geometric probability
-
Zbl 0834.05022, MR1304316 95k:52006
-
SCHEINERMAN, EDWARD R.; WLLF, HERBERT S. The rectilinear crossing number of a complete graph and Sylvester's "four point problem" of geometric probability. Amer. Math. Monthly 101 (1994), no. 10, 939-943. MR1304316 (95k:52006), Zbl 0834.05022.
-
(1994)
Amer. Math. Monthly
, vol.101
, Issue.10
, pp. 939-943
-
-
SCHEINERMAN, E.R.1
WLLF, H.S.2
-
80
-
-
85034428662
-
-
SEESE, DETLEF. Tree-partite graphs and the complexity of algorithms. Proc. International Conf. on Fundamentals of Computation Theory (BUDACH, LOTHAR, ed.), Lecture Notes in Comput. Sci., 199, 412-121. Springer, Berlin, 1985. MR0821258, Zbl 0574.68036.
-
SEESE, DETLEF. Tree-partite graphs and the complexity of algorithms. Proc. International Conf. on Fundamentals of Computation Theory (BUDACH, LOTHAR, ed.), Lecture Notes in Comput. Sci., 199, 412-121. Springer, Berlin, 1985. MR0821258, Zbl 0574.68036.
-
-
-
-
81
-
-
38249026572
-
Grids and their minors
-
MR1026069 90j:05127, Zbl 0636.05023
-
SEESE, DETLEF G.; WESSEL, WALTER. Grids and their minors. J. Combin. Theory Ser. B 47 (1989), no. 3, 349-360. MR1026069 (90j:05127), Zbl 0636.05023.
-
(1989)
J. Combin. Theory Ser. B
, vol.47
, Issue.3
, pp. 349-360
-
-
SEESE, D.G.1
WESSEL, W.2
-
82
-
-
16144366292
-
-
SHAHROKHI, FARHAD; SÝKORA, ONDREJ; SZÉKELY, LÁSZLÓ A.; VRŤO, IMRICH. The crossing number of a graph on a compact 2-manifold. Adv. Math. 123 (1996), no. 2, 105-119. MR1420482 (97h:05055), Zbl 0865.05036.
-
SHAHROKHI, FARHAD; SÝKORA, ONDREJ; SZÉKELY, LÁSZLÓ A.; VRŤO, IMRICH. The crossing number of a graph on a compact 2-manifold. Adv. Math. 123 (1996), no. 2, 105-119. MR1420482 (97h:05055), Zbl 0865.05036.
-
-
-
-
83
-
-
34347330308
-
-
SHAHROKHI, FARHAD; SÝKORA, ONDREJ; SZÉKELY, LASZLO A.; VRTŤO, IMRICH. The gap between crossing numbers a,nd convex crossing numbers. In PACK [57], 249-258. MR2065268 (2005c:05064), Zbl 1062.05050.
-
SHAHROKHI, FARHAD; SÝKORA, ONDREJ; SZÉKELY, LASZLO A.; VRTŤO, IMRICH. The gap between crossing numbers a,nd convex crossing numbers. In PACK [57], 249-258. MR2065268 (2005c:05064), Zbl 1062.05050.
-
-
-
-
84
-
-
84974122218
-
On canonical concurrent flows, crossing number and graph expansion
-
Zbl 0817.05022, MR1314073 961:05090
-
SHAHROKHI, FARHAD; SZÉKELY, LÁSZLÓ A. On canonical concurrent flows, crossing number and graph expansion. Combin. Probab. Comput. 3 (1994), no. 4, 523-543. MR1314073 (961:05090), Zbl 0817.05022.
-
(1994)
Combin. Probab. Comput
, vol.3
, Issue.4
, pp. 523-543
-
-
SHAHROKHI, F.1
SZÉKELY, L.A.2
-
85
-
-
0347392615
-
-
SHAHROKHI, FARHAD; SZÉKELY, ONDREJ, LÁSZLÓ A. SYKORA; VRTO, IMRICH. Drawings of graphs on surfaces with few crossings. Algorithmica 16 (1996), no. 1, 118-131. MR1394497 (97h:05056), Zbl 0854.68074.
-
SHAHROKHI, FARHAD; SZÉKELY, ONDREJ, LÁSZLÓ A. SYKORA; VRTO, IMRICH. Drawings of graphs on surfaces with few crossings. Algorithmica 16 (1996), no. 1, 118-131. MR1394497 (97h:05056), Zbl 0854.68074.
-
-
-
-
86
-
-
0346660395
-
Crossing numbers and hard Erdos problems in discrete geometry
-
Zbl 0882.52007, MR1464571 98h:52030
-
SZÉKELY, LÁSZLÓ A. Crossing numbers and hard Erdos problems in discrete geometry. Cornbin. Probab. Comput. 6 (1997), no. 3, 353-358. MR1464571 (98h:52030), Zbl 0882.52007.
-
(1997)
Cornbin. Probab. Comput
, vol.6
, Issue.3
, pp. 353-358
-
-
SZÉKELY, L.A.1
-
87
-
-
0346154872
-
-
SZÉKELY, LÁSZLÓ A. A successful concept for measuring non-planarity of graphs: the crossing number. Discrete Math. 276 (2004), no. 1-3, 331-352. MR2046646 (2005a:05073), Zbl 1035.05034.
-
SZÉKELY, LÁSZLÓ A. A successful concept for measuring non-planarity of graphs: the crossing number. Discrete Math. 276 (2004), no. 1-3, 331-352. MR2046646 (2005a:05073), Zbl 1035.05034.
-
-
-
-
88
-
-
0001700106
-
Note on a theorem in geometry of position
-
TAIT, PETER GUTHRIE. Note on a theorem in geometry of position. Trans. Roy. Soc. Edinburgh 29 (1880), 657-660.
-
(1880)
Trans. Roy. Soc. Edinburgh
, vol.29
, pp. 657-660
-
-
TAIT, P.G.1
-
89
-
-
84976013923
-
An extremal function for contractions of graphs
-
MR0735367 851:05141, Zbl 0551.05047
-
THOMASON, ANDREW. An extremal function for contractions of graphs. Math. Proc. Cambridge Philos. Soc. 95 (1984), no. 2, 261-265. MR0735367 (851:05141), Zbl 0551.05047.
-
(1984)
Math. Proc. Cambridge Philos. Soc
, vol.95
, Issue.2
, pp. 261-265
-
-
THOMASON, A.1
-
90
-
-
0012819185
-
-
THOMASON, ANDREW. The extremal function for complete minors. J. Combin. Theory Ser. B 81 (2001), no. 2, 318-338. MR1814910 (2002i:05100), Zbl 1024.05083.
-
THOMASON, ANDREW. The extremal function for complete minors. J. Combin. Theory Ser. B 81 (2001), no. 2, 318-338. MR1814910 (2002i:05100), Zbl 1024.05083.
-
-
-
-
91
-
-
33847286201
-
Crossing numbers of graphs: A bibliography
-
VRŤO, IMRICH. Crossing numbers of graphs: A bibliography (2007). ftp://ftp.ifi.savba.sk/pub/imrich/crobib.pdf.
-
-
-
VRŤO, I.1
-
93
-
-
33845337775
-
Über eine Eigenschaft der ebene Komplexe
-
570590. MR1513158, Zbl 0017.19005
-
WAGNER, KLAUS. Über eine Eigenschaft der ebene Komplexe. Math. Ann. 114 (1937), 570590. MR1513158, Zbl 0017.19005.
-
(1937)
Math. Ann
, vol.114
-
-
WAGNER, K.1
-
94
-
-
33749487391
-
Vertex partitions of chordal graphs
-
MR2255760
-
WOOD, DAVID R. Vertex partitions of chordal graphs. J. Graph Theory 53 (2006), no. 2, 167-172. MR2255760.
-
(2006)
J. Graph Theory
, vol.53
, Issue.2
, pp. 167-172
-
-
WOOD, D.R.1
-
95
-
-
34347358671
-
-
WOOD, DAVID R. A note on tree-partition-width (2007). arXiv:math/0602507.
-
WOOD, DAVID R. A note on tree-partition-width (2007). arXiv:math/0602507.
-
-
-
-
96
-
-
34347328255
-
-
WOOD, DAVID R.; TELLE, JAN ARNE. Planar decompositions and the crossing number of graphs with an excluded minor (2006). arXiv:math/0604467. http://nyjm.albany.edu/j/2007/13-8. html.
-
WOOD, DAVID R.; TELLE, JAN ARNE. Planar decompositions and the crossing number of graphs with an excluded minor (2006). arXiv:math/0604467. http://nyjm.albany.edu/j/2007/13-8. html.
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