-
2
-
-
84972498411
-
Every planar map is four colorable. I. Discharging
-
AH77
-
[AH77] K. Appel and W. Haken. Every planar map is four colorable. I. Discharging. Illinois Journal of Mathematics, 21(3):429-490, 1977.
-
(1977)
Illinois Journal of Mathematics
, vol.21
, Issue.3
, pp. 429-490
-
-
Appel, K.1
Haken, W.2
-
3
-
-
84972500815
-
Every planar map is four colorable. II. Reducibility
-
AHK77
-
[AHK77] K. Appel, W. Haken, and J. Koch. Every planar map is four colorable. II. Reducibility. Illinois Journal of Mathematics, 21(3):491-567, 1977.
-
(1977)
Illinois Journal of Mathematics
, vol.21
, Issue.3
, pp. 491-567
-
-
Appel, K.1
Haken, W.2
Koch, J.3
-
4
-
-
0038722616
-
Efficient approximation for triangulation of minimum treewidth
-
[Ami01] San Francisco, CA, Morgan Kaufmann Publishers
-
[Ami01] Eyal Amir. Efficient approximation for triangulation of minimum treewidth. In Proceedings of the 17th Conference on Uncertainty in Artificial Intelligence (UAI-2001), pages 7-15, San Francisco, CA, 2001. Morgan Kaufmann Publishers.
-
(2001)
Proceedings of the 17th Conference on Uncertainty in Artificial Intelligence (UAI-2001)
, pp. 7-15
-
-
Amir, E.1
-
6
-
-
4544250512
-
Expander flows, geometric embeddings and graph partitioning
-
ARV04
-
[ARV04] Sanjeev Arora, Satish Rao, and Umesh Vazirani. Expander flows, geometric embeddings and graph partitioning. In Proceedings of the 36th Annual ACM Symposium on Theory of Computing, pages 222-231, 2004.
-
(2004)
Proceedings of the 36th Annual ACM Symposium on Theory of Computing
, pp. 222-231
-
-
Arora, S.1
Rao, S.2
Vazirani, U.3
-
8
-
-
0028255806
-
Approximation algorithms for NP-complete problems on planar graphs
-
Bak94
-
[Bak94] Brenda S. Baker. Approximation algorithms for NP-complete problems on planar graphs. Journal of the Association for Computing Machinery, 41(1):153-180, 1994.
-
(1994)
Journal of the Association for Computing Machinery
, vol.41
, Issue.1
, pp. 153-180
-
-
Baker, B.S.1
-
10
-
-
0000236642
-
On chromatic sums and distributed resource allocation
-
+98] February
-
+98] Amotz Bar-Noy, Mihir Bellare, Magnús M. Halldórsson, Hadas Shachnai, and Tami Tamir. On chromatic sums and distributed resource allocation. Information and Computation, 140(2):183-202, February 1998.
-
(1998)
Information and Computation
, vol.140
, Issue.2
, pp. 183-202
-
-
Bar-Noy, A.1
Bellare, M.2
Halldórsson, M.M.3
Shachnai, H.4
Tamir, T.5
-
11
-
-
24144488303
-
Discovering treewidth
-
[Bod05] Proceedings of the 31st Conference on Current Trends in Theory and Practice of Computer Science, Liptovský Ján, Slovakia, January
-
[Bod05] Hans L. Bodlaender. Discovering treewidth. In Proceedings of the 31st Conference on Current Trends in Theory and Practice of Computer Science, volume 3381 of Lecture Notes in Computer Science, pages 1-16, Liptovský Ján, Slovakia, January 2005.
-
(2005)
Lecture Notes in Computer Science
, vol.3381
, pp. 1-16
-
-
Bodlaender, H.L.1
-
12
-
-
0347935982
-
A bound on the chromatic number of a graph
-
Cat78
-
[Cat78] Paul A. Catlin. A bound on the chromatic number of a graph. Discrete Mathematics, 22(1):81-83, 1978.
-
(1978)
Discrete Mathematics
, vol.22
, Issue.1
, pp. 81-83
-
-
Catlin, P.A.1
-
16
-
-
27144444058
-
Finding shortest non-separating and non-contractible cycles for topologically embedded graphs
-
[CM05] Proceedings of the 13th Annual European Symposium on Algorithms, Palma de Mallorca, Spain, October
-
[CM05] Sergio Cabello and Bojan Mohar. Finding shortest non-separating and non-contractible cycles for topologically embedded graphs. In Proceedings of the 13th Annual European Symposium on Algorithms, volume 3669 of Lecture Notes in Computer Science, pages 131-142, Palma de Mallorca, Spain, October 2005.
-
(2005)
Lecture Notes in Computer Science
, vol.3669
, pp. 131-142
-
-
Cabello, S.1
Mohar, B.2
-
17
-
-
2342457822
-
Excluding any graph as a minor allows a low tree-width 2-coloring
-
+04
-
+04] Matt DeVos, Guoli Ding, Bogdan Oporowski, Daniel P. Sanders, Bruce Reed, Paul Seymour, and Dirk Vertigan. Excluding any graph as a minor allows a low tree-width 2-coloring. Journal of Combinatorial Theory, Series B, 91(1):25-41, 2004.
-
(2004)
Journal of Combinatorial Theory, Series B
, vol.91
, Issue.1
, pp. 25-41
-
-
DeVos, M.1
Ding, G.2
Oporowski, B.3
Sanders, D.P.4
Reed, B.5
Seymour, P.6
Vertigan, D.7
-
18
-
-
33745188001
-
Subexponential parameterized algorithms on graphs of bounded genus and H-minor-free graphs
-
DFHT05
-
[DFHT05] Erik D. Demaine, Fedor V. Fomin, MohammadTaghi Hajiaghayi, and Dimitrios M. Thilikos. Subexponential parameterized algorithms on graphs of bounded genus and H-minor-free graphs. Journal of the ACM, 52(6):866-893, 2005.
-
(2005)
Journal of the ACM
, vol.52
, Issue.6
, pp. 866-893
-
-
Demaine, E.D.1
Fomin, F.V.2
Hajiaghayi, M.3
Thilikos, D.M.4
-
19
-
-
20744453821
-
Graphs excluding a fixed minor have grids as large as treewidth, with combinatorial and algorithmic applications through bidimensionality
-
[DH05] Vancouver, January
-
[DH05] Erik D. Demaine and MohammadTaghi Hajiaghayi. Graphs excluding a fixed minor have grids as large as treewidth, with combinatorial and algorithmic applications through bidimensionality. In Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2005), pages 682-689, Vancouver, January 2005.
-
(2005)
Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2005)
, pp. 682-689
-
-
Demaine, E.D.1
Hajiaghayi, M.2
-
20
-
-
33748589985
-
Algorithmic graph minor theory: Decomposition, approximation, and coloring
-
[DHK05] Pittsburgh, PA, October
-
[DHK05] Erik D. Demaine, MohammadTaghi Hajiaghayi, and Ken-ichi Kawarabayashi. Algorithmic graph minor theory: Decomposition, approximation, and coloring. In Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science, pages 637-646, Pittsburgh, PA, October 2005.
-
(2005)
Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
, pp. 637-646
-
-
Demaine, E.D.1
Hajiaghayi, M.2
Kawarabayashi, K.-I.3
-
22
-
-
84969219565
-
Approximation algorithms via contraction decomposition
-
[DHM07] New Orleans, Louisiana, January 7-9
-
[DHM07] Erik D. Demaine, MohammadTaghi Hajiaghayi, and Bojan Mohar. Approximation algorithms via contraction decomposition. In Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 278-287, New Orleans, Louisiana, January 7-9 2007.
-
(2007)
Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 278-287
-
-
Demaine, E.D.1
Hajiaghayi, M.2
Mohar, B.3
-
23
-
-
3342990953
-
Approximation algorithms for classes of graphs excluding single-crossing graphs as minors
-
+04] September
-
+04] Erik D. Demaine, MohammadTaghi Hajiaghayi, Naomi Nishimura, Prabhakar Ragde, and Dimitrios M. Thilikos. Approximation algorithms for classes of graphs excluding single-crossing graphs as minors. Journal of Computer and System Sciences, 69(2):166-195, September 2004.
-
(2004)
Journal of Computer and System Sciences
, vol.69
, Issue.2
, pp. 166-195
-
-
Demaine, E.D.1
Hajiaghayi, M.2
Nishimura, N.3
Ragde, P.4
Thilikos, D.M.5
-
24
-
-
0001853238
-
Highly connected sets and the excluded grid theorem
-
DJGT99
-
[DJGT99] Reinhard Diestel, Tommy R. Jensen, Konstantin Yu. Gorbunov, and Carsten Thomassen. Highly connected sets and the excluded grid theorem. Journal of Combinatorial Theory, Series B, 75(1):61-73, 1999.
-
(1999)
Journal of Combinatorial Theory, Series B
, vol.75
, Issue.1
, pp. 61-73
-
-
Diestel, R.1
Jensen, T.R.2
Gorbunov, K.Yu.3
Thomassen, C.4
-
25
-
-
0242449041
-
Surfaces, tree-width, clique-minors, and partitions
-
DOSV00
-
[DOSV00] Guoli Ding, Bogdan Oporowski, Daniel P. Sanders, and Dirk Vertigan. Surfaces, tree-width, clique-minors, and partitions. Journal of Combinatorial Theory. Series B, 79(2):221-246, 2000.
-
(2000)
Journal of Combinatorial Theory. Series B
, vol.79
, Issue.2
, pp. 221-246
-
-
Ding, G.1
Oporowski, B.2
Sanders, D.P.3
Vertigan, D.4
-
26
-
-
0038099322
-
Diameter and treewidth in minor-closed graph families
-
Epp00
-
[Epp00] David Eppstein. Diameter and treewidth in minor-closed graph families. Algorithmica, 27(3-4):275-291, 2000.
-
(2000)
Algorithmica
, vol.27
, Issue.3-4
, pp. 275-291
-
-
Eppstein, D.1
-
30
-
-
33748102459
-
-
+04] Submitted
-
+04] Jim Geelan, Bert Gerards, Luis Goddyn, Bruce Reed, Paul Seymour, and Adrian Vetta. The odd case of Hadwiger's conjecture. Submitted, 2004.
-
(2004)
The Odd Case of Hadwiger's Conjecture
-
-
Geelan, J.1
Gerards, B.2
Goddyn, L.3
Reed, B.4
Seymour, P.5
Vetta, A.6
-
31
-
-
0020244141
-
Priority queues with variable priority and an O(EV log V) algorithm for finding a maximal weighted matching in general graphs
-
[GMG82] Chicago, IL
-
[GMG82] Zvi Galil, Silvio Micali, and Harold Gabow. Priority queues with variable priority and an O(EV log V) algorithm for finding a maximal weighted matching in general graphs. In Proceedings of the 23rd Annual Symposium on Foundations of Computer Science, pages 255-261, Chicago, IL, 1982.
-
(1982)
Proceedings of the 23rd Annual Symposium on Foundations of Computer Science
, pp. 255-261
-
-
Galil, Z.1
Micali, S.2
Gabow, H.3
-
32
-
-
34247611874
-
Edge partition of planar graphs into two outerplanar graphs
-
[Gon05] New York, NY, USA, ACM Press
-
[Gon05] Daniel Gonçalves. Edge partition of planar graphs into two outerplanar graphs. In Proceedings of the 37th Annual ACM Symposium on Theory of Computing, pages 504-512, New York, NY, USA, 2005. ACM Press.
-
(2005)
Proceedings of the 37th Annual ACM Symposium on Theory of Computing
, pp. 504-512
-
-
Gonçalves, D.1
-
33
-
-
0019627062
-
WEAKLY BIPARTITE GRAPHS and the MAX-CUT PROBLEM
-
DOI 10.1016/0167-6377(81)90020-1
-
[GP82] M. Grötschel and W. R. Pulleyblank. Weakly bipartite graphs and the max-cut problem. Operations Research Letters, 1(1):23-27, 1981/1982. (Pubitemid 12561011)
-
(1981)
Operations Research Letters
, vol.1
, Issue.1
, pp. 23-27
-
-
Groetschel, M.1
Pulleyblank, W.R.2
-
34
-
-
1842816566
-
Local tree-width, excluded minors, and approximation algorithms
-
Gro03
-
[Gro03] Martin Grohe. Local tree-width, excluded minors, and approximation algorithms. Combinatorica, 23(4):613-632, 2003.
-
(2003)
Combinatorica
, vol.23
, Issue.4
, pp. 613-632
-
-
Grohe, M.1
-
35
-
-
0035185680
-
A characterization of weakly bipartite graphs
-
Gue01
-
[Gue01] Bertrand Guenin. A characterization of weakly bipartite graphs. Journal of Combinatorial Theory. Series B, 83(1):112-168, 2001.
-
(2001)
Journal of Combinatorial Theory. Series B
, vol.83
, Issue.1
, pp. 112-168
-
-
Guenin, B.1
-
37
-
-
0001079181
-
Über eine Klassifikation der Streckenkomplexe
-
Had43
-
[Had43] H. Hadwiger. Über eine Klassifikation der Streckenkomplexe. Vierteljschr. Naturforsch. Ges. Zürich, 88:133-142, 1943.
-
(1943)
Vierteljschr. Naturforsch. Ges. Zürich
, vol.88
, pp. 133-142
-
-
Hadwiger, H.1
-
38
-
-
0036488753
-
Tools for multicoloring with applications to planar graphs and partial k-trees
-
HK02
-
[HK02] Magnús M. Halldórsson and Guy Kortsarz. Tools for multicoloring with applications to planar graphs and partial k-trees. Journal of Algorithms, 42(2):334-366, 2002.
-
(2002)
Journal of Algorithms
, vol.42
, Issue.2
, pp. 334-366
-
-
Halldórsson, M.M.1
Kortsarz, G.2
-
39
-
-
0002489322
-
Computing vertex connectivity: New bounds from old techniques
-
HRG00
-
[HRG00] Monika R. Henzinger, Satish Rao, and Harold N. Gabow. Computing vertex connectivity: new bounds from old techniques. Journal of Algorithms, 34(2):222-250, 2000.
-
(2000)
Journal of Algorithms
, vol.34
, Issue.2
, pp. 222-250
-
-
Henzinger, M.R.1
Rao, S.2
Gabow, H.N.3
-
43
-
-
77951698355
-
On the connectivity of minimal and minimum counterexample to Hadwiger's conjecture
-
[Kawc] To appear
-
[Kawc] Ken-ichi Kawarabayashi. On the connectivity of minimal and minimum counterexample to Hadwiger's conjecture. Journal of Combinatorial Theory. Series B. To appear.
-
Journal of Combinatorial Theory. Series B
-
-
Kawarabayashi, K.-I.1
-
44
-
-
4644303396
-
Rooted minor problems in highly connected graphs
-
Kaw04
-
[Kaw04] Ken-ichi Kawarabayashi. Rooted minor problems in highly connected graphs. Discrete Mathematics, 287(1-3):121-123, 2004.
-
(2004)
Discrete Mathematics
, vol.287
, Issue.1-3
, pp. 121-123
-
-
Kawarabayashi, K.-I.1
-
45
-
-
0030187815
-
Outerplanar partitions of planar graphs
-
Ked96
-
[Ked96] Kiran S. Kedlaya. Outerplanar partitions of planar graphs. Journal of Combinatorial Theory. Series B, 67(2):238-248, 1996.
-
(1996)
Journal of Combinatorial Theory. Series B
, vol.67
, Issue.2
, pp. 238-248
-
-
Kedlaya, K.S.1
-
47
-
-
33748108623
-
Approximating chromatic number and list-chromatic number of minor-closed and odd-minor-closed classes of graphs
-
KM06
-
[KM06] Ken-ichi Kawarabayashi and Bojan Mohar. Approximating chromatic number and list-chromatic number of minor-closed and odd-minor-closed classes of graphs. In Proceedings of the 38th ACM Symposium on Theory of Computing, pages 401-416, 2006.
-
(2006)
Proceedings of the 38th ACM Symposium on Theory of Computing
, pp. 401-416
-
-
Kawarabayashi, K.-I.1
Mohar, B.2
-
48
-
-
51249184988
-
Lower bound of the Hadwiger number of graphs by their average degree
-
Kos84
-
[Kos84] A. V. Kostochka. Lower bound of the Hadwiger number of graphs by their average degree. Combinatorica, 4(4):307-316, 1984.
-
(1984)
Combinatorica
, vol.4
, Issue.4
, pp. 307-316
-
-
Kostochka, A.V.1
-
49
-
-
44449146026
-
Some remarks on the odd Hadwiger's conjecture
-
[KS] To appear
-
[KS] Ken-ichi Kawarabayashi and Z. Song. Some remarks on the odd Hadwiger's conjecture. Combinatorica. To appear.
-
Combinatorica
-
-
Kawarabayashi, K.-I.1
Song, Z.2
-
52
-
-
0000651166
-
Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
-
LR99
-
[LR99] Tom Leighton and Satish Rao. Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms. Journal of the ACM, 46(6):787-832, 1999.
-
(1999)
Journal of the ACM
, vol.46
, Issue.6
, pp. 787-832
-
-
Leighton, T.1
Rao, S.2
-
53
-
-
0001029324
-
Applications of a planar separator theorem
-
LT80
-
[LT80] Richard J. Lipton and Robert Endre Tarjan. Applications of a planar separator theorem. SIAM Journal on Computing, 9(3):615-627, 1980.
-
(1980)
SIAM Journal on Computing
, vol.9
, Issue.3
, pp. 615-627
-
-
Lipton, R.J.1
Tarjan, R.E.2
-
54
-
-
84963027245
-
Decomposition of finite graphs into forests
-
NW64
-
[NW64] C. St. J. A. Nash-Williams. Decomposition of finite graphs into forests. J. London Math. Soc., 39:12, 1964.
-
(1964)
J. London Math. Soc.
, vol.39
, pp. 12
-
-
Nash-Williams, C.St.J.A.1
-
55
-
-
0000673493
-
Graph minors. II. Algorithmic aspects of tree-width
-
RS86
-
[RS86] Neil Robertson and Paul D. Seymour. Graph minors. II. Algorithmic aspects of tree-width. Journal of Algorithms, 7(3):309-322, 1986.
-
(1986)
Journal of Algorithms
, vol.7
, Issue.3
, pp. 309-322
-
-
Robertson, N.1
Seymour, P.D.2
-
59
-
-
0031146074
-
The four-colour theorem
-
RSST97
-
[RSST97] Neil Robertson, Daniel Sanders, Paul Seymour, and Robin Thomas. The four-colour theorem. Journal of Combinatorial Theory, Series B, 70(1):2-44, 1997.
-
(1997)
Journal of Combinatorial Theory, Series B
, vol.70
, Issue.1
, pp. 2-44
-
-
Robertson, N.1
Sanders, D.2
Seymour, P.3
Thomas, R.4
-
61
-
-
0036311368
-
A short proof of Guenin's characterization of weakly bipartite graphs
-
Sch02
-
[Sch02] Alexander Schrijver. A short proof of Guenin's characterization of weakly bipartite graphs. Journal of Combinatorial Theory. Series B, 85(2):255-260, 2002.
-
(2002)
Journal of Combinatorial Theory. Series B
, vol.85
, Issue.2
, pp. 255-260
-
-
Schrijver, A.1
-
62
-
-
0000327178
-
The matroids with the max-flow min-cut property
-
Sey77
-
[Sey77] P. D. Seymour. The matroids with the max-flow min-cut property. Journal of Combinatorial Theory. Series B, 23(2-3):189-222, 1977.
-
(1977)
Journal of Combinatorial Theory. Series B
, vol.23
, Issue.2-3
, pp. 189-222
-
-
Seymour, P.D.1
-
64
-
-
0008779759
-
All structured programs have small tree-width and good register allocation
-
Tho98
-
[Tho98] Mikkel Thorup. All structured programs have small tree-width and good register allocation. Information and Computation, 142(2):159-181, 1998.
-
(1998)
Information and Computation
, vol.142
, Issue.2
, pp. 159-181
-
-
Thorup, M.1
-
65
-
-
0012819185
-
The extremal function for complete minors
-
Tho01
-
[Tho01] Andrew Thomason. The extremal function for complete minors. Journal of Combinatorial Theory, Series B, 81(2):318-338, 2001.
-
(2001)
Journal of Combinatorial Theory, Series B
, vol.81
, Issue.2
, pp. 318-338
-
-
Thomason, A.1
-
66
-
-
20444502118
-
Compact oracles for reachability and approximate distances in planar digraphs
-
Tho04
-
[Tho04] Mikkel Thorup. Compact oracles for reachability and approximate distances in planar digraphs. Journal of the ACM, 51(6):993-1024, 2004.
-
(2004)
Journal of the ACM
, vol.51
, Issue.6
, pp. 993-1024
-
-
Thorup, M.1
-
67
-
-
33845337775
-
Über eine Eigenschaft der eben Komplexe
-
[Wag37] December
-
[Wag37] K. Wagner. Über eine Eigenschaft der eben Komplexe. Mathematische Annalen, 114:570-590, December 1937.
-
(1937)
Mathematische Annalen
, vol.114
, pp. 570-590
-
-
Wagner, K.1
-
69
-
-
43849088675
-
Linear degree extractors and the inapproximability of max clique and chromatic number
-
Zuc07
-
[Zuc07] David Zuckerman. Linear degree extractors and the inapproximability of max clique and chromatic number. Theory of Computing, 3(6):103-128, 2007.
-
(2007)
Theory of Computing
, vol.3
, Issue.6
, pp. 103-128
-
-
Zuckerman, D.1
|