-
1
-
-
33750994100
-
λ1, isoperimetric inequalities for graphs, and superconcentrators
-
ALON, N., AND MILMAN, V. D. 1985. λ1, isoperimetric inequalities for graphs, and superconcentrators. J. Combin. Theory Ser. B 38, 1, 73-88.
-
(1985)
J. Combin. Theory Ser. B
, vol.38
, Issue.1
, pp. 73-88
-
-
Alon, N.1
Milman, V.D.2
-
2
-
-
84968494230
-
A separator theorem for nonplanar graphs
-
ALON, N., SEYMOUR, P., AND THOMAS, R. 1990. A separator theorem for nonplanar graphs. J. Amer. Math. Soc. 3, 4, 801-808.
-
(1990)
J. Amer. Math. Soc.
, vol.3
, Issue.4
, pp. 801-808
-
-
Alon, N.1
Seymour, P.2
Thomas, R.3
-
3
-
-
0029354779
-
Recent directions in netlist partitioning: A survey
-
ALPERT, C. J., AND KAHNG, A. B. 1995. Recent directions in netlist partitioning: A survey. Integration: The VLSI J. 19, 1-81.
-
(1995)
Integration: The VLSI J.
, vol.19
, pp. 1-81
-
-
Alpert, C.J.1
Kahng, A.B.2
-
4
-
-
0030393774
-
Probabilistic approximations of metric space and its algorithmic application
-
IEEE Computer Society Press, Los Alamitos, CA
-
BARTAL, Y. 1996. Probabilistic approximations of metric space and its algorithmic application. In Proceedings of the 37th Annual Symposium on Foundations of Computer Science. IEEE Computer Society Press, Los Alamitos, CA, 183-193.
-
(1996)
Proceedings of the 37th Annual Symposium on Foundations of Computer Science
, pp. 183-193
-
-
Bartal, Y.1
-
5
-
-
85012798607
-
Hadwiger's conjecture is true for almost every graph
-
BOLLOB́AS, B., CATLIN, P. A., AND ERDOS, P. 1980. Hadwiger's conjecture is true for almost every graph. Europ. J. Combin. 1, 3, 195-199.
-
(1980)
Europ. J. Combin.
, vol.1
, Issue.3
, pp. 195-199
-
-
Bollob́as, B.1
Catlin, P.A.2
Erdos, P.3
-
6
-
-
51249178997
-
On Lipschitz embedding of finite metric spaces in Hilbert space
-
BOURGAIN, J. 1985. On Lipschitz embedding of finite metric spaces in Hilbert space. Israel J. Math. 52, 1-2, 46-52.
-
(1985)
Israel J. Math.
, vol.52
, Issue.1-2
, pp. 46-52
-
-
Bourgain, J.1
-
8
-
-
33748111924
-
Approximation algorithms for the 0-extension problem
-
ACM, New York
-
CALINESCU, G., KARLOFF, H., AND RABANI, Y. 2001. Approximation algorithms for the 0-extension problem. In Proceedings of the 12th Annual ACM-SIAM Symposium on Discrete Algorithms. ACM, New York, 8-16.
-
(2001)
Proceedings of the 12th Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 8-16
-
-
Calinescu, G.1
Karloff, H.2
Rabani, Y.3
-
11
-
-
0005900276
-
Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes
-
CHAN, T. F., AND SMITH, B. 1993. Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes. Contemp. Math., 1-14.
-
(1993)
Contemp. Math.
, pp. 1-14
-
-
Chan, T.F.1
Smith, B.2
-
12
-
-
20344362744
-
A lower bound for the smallest eigenvalue of the Laplacian
-
(Papers dedicated to Salomon Bochner). Princeton Univ. Press, Princeton, NJ
-
CHEEGER, J. 1970. A lower bound for the smallest eigenvalue of the Laplacian. In Problems in Analysis (Papers dedicated to Salomon Bochner, 1969). Princeton Univ. Press, Princeton, NJ, 195-199.
-
(1969)
Problems in Analysis
, pp. 195-199
-
-
Cheeger, J.1
-
13
-
-
0003365565
-
Spectral graph theory
-
Published for the Conference Board of the Mathematical Sciences, Washington, DC
-
CHUNG, F. R. K. 1997. Spectral Graph Theory. CBMS Regional Conference Series in Mathematics, vol.92. Published for the Conference Board of the Mathematical Sciences, Washington, DC.
-
(1997)
CBMS Regional Conference Series in Mathematics
, vol.92
-
-
Chung, F.R.K.1
-
14
-
-
0003677229
-
-
Third ed. Graduate Texts in Mathematics. Springer-Verlag, Berlin, Germany
-
DIESTEL, R. 2005. Graph Theory, Third ed. Graduate Texts in Mathematics, vol.173. Springer-Verlag, Berlin, Germany.
-
(2005)
Graph Theory
, vol.173
-
-
Diestel, R.1
-
15
-
-
0004654733
-
The extremal length of a network
-
DUFFIN, R. J. 1962. The extremal length of a network. J. Math. Anal. Appl. 5, 200-215.
-
(1962)
J. Math. Anal. Appl.
, vol.5
, pp. 200-215
-
-
Duffin, R.J.1
-
16
-
-
21144454494
-
An improved decomposition theorem for graphs excluding a fixed minor
-
Lecture Notes in Computer Science. Springer-Verlag, Berlin, Germany
-
FAKCHAROENPHOL, J., AND TALWAR, K. 2003. An improved decomposition theorem for graphs excluding a fixed minor. In Proceedings of 6th Workshop on Approximation, Randomization, and Combinatorial Optimization. Lecture Notes in Computer Science, vol.2764. Springer-Verlag, Berlin, Germany, 36-46.
-
(2003)
Proceedings of 6th Workshop on Approximation, Randomization, and Combinatorial Optimization
, vol.2764
, pp. 36-46
-
-
Fakcharoenphol, J.1
Talwar, K.2
-
17
-
-
34848863391
-
Improved approximation algorithms for minimumweight vertex separators
-
ACM, New York (To appear, SIAM J. Comput.)
-
FEIGE, U., HAJIAGHAYI, M. T., AND LEE, J. R. 2005. Improved approximation algorithms for minimumweight vertex separators. In Proceedings of the 37th Annual ACM Symposium on Theory of Computing. ACM, New York (To appear, SIAM J. Comput.)
-
(2005)
Proceedings of the 37th Annual ACM Symposium on Theory of Computing
-
-
Feige, U.1
Hajiaghayi, M.T.2
Lee, J.R.3
-
18
-
-
0012834683
-
On the maximum density of graphs which have no subcontraction to Ks
-
FERNANDEZ DE LA VEGA, W. 1983. On the maximum density of graphs which have no subcontraction to Ks . Discrete Math. 46, 1, 109-110.
-
(1983)
Discrete Math.
, vol.46
, Issue.1
, pp. 109-110
-
-
Fernandez De La Vega, W.1
-
19
-
-
0001345696
-
A separator theorem for graphs of bounded genus
-
GILBERT, J. R., HUTCHINSON, J. P., AND TARJAN, R. E. 1984. A separator theorem for graphs of bounded genus. J. Algorithms 5, 3, 391-407.
-
(1984)
J. Algorithms
, vol.5
, Issue.3
, pp. 391-407
-
-
Gilbert, J.R.1
Hutchinson, J.P.2
Tarjan, R.E.3
-
20
-
-
37349007342
-
Decomposition of a metric space by capacitors
-
Providence, RI
-
GRIGOR-YAN, A., AND YAU, S.-T. 1999. Decomposition of a metric space by capacitors. In Differential equations: La Pietra 1996 (Florence). Proceedings of the Symposium on Pure Mathenatics. vol.65. Providence, RI, 39-75.
-
(1999)
Differential Equations: La Pietra 1996 (Florence). Proceedings of the Symposium on Pure Mathenatics
, vol.65
, pp. 39-75
-
-
Grigor'Yan, A.1
Yau, S.-T.2
-
21
-
-
0032380450
-
On the quality of spectral separators
-
(electronic)
-
GUATTERY, S., AND MILLER, G. L. 1998. On the quality of spectral separators. SIAM J. Matrix Anal. Appl. 19, 3, 701-719 (electronic).
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, Issue.3
, pp. 701-719
-
-
Guattery, S.1
Miller, G.L.2
-
22
-
-
0026925324
-
New spectral methods for ratio cut partitioning and clustering
-
HAGEN, L., AND KAHNG, A. B. 1992. New spectral methods for ratio cut partitioning and clustering. IEEE Trans. Computer-Aided Des. 11, 9, 1074-1085.
-
(1992)
IEEE Trans. Computer-Aided Des.
, vol.11
, Issue.9
, pp. 1074-1085
-
-
Hagen, L.1
Kahng, A.B.2
-
23
-
-
0003780715
-
-
Addison-Wesley, Reading, MA
-
HARARY, F. 1994. Graph Theory. Addison-Wesley, Reading, MA.
-
(1994)
Graph Theory
-
-
Harary, F.1
-
24
-
-
0009305212
-
Hyperbolic and parabolic packings
-
HE, Z.-X., AND SCHRAMM, O. 1995. Hyperbolic and parabolic packings. Discrete Comput. Geom. 14, 2, 123-149.
-
(1995)
Discrete Comput. Geom.
, vol.14
, Issue.2
, pp. 123-149
-
-
He, Z.-X.1
Schramm, O.2
-
25
-
-
0001005571
-
Quatre propríet́es isoṕeriḿetriques de membranes sph́eriques homog̀enes
-
HERSCH, J. 1970. Quatre propríet́es isoṕeriḿ etriques de membranes sph́eriques homog̀enes. C. R. Acad. Sci. Paris Śer. A-B 270, A1645-A1648.
-
(1970)
C. R. Acad. Sci. Paris Śer. A-B
, vol.270
-
-
Hersch, J.1
-
26
-
-
33747185440
-
Spectral partitioning, eigenvalue bounds, and circle packings for graphs of bounded genus
-
(electronic)
-
KELNER, J. A. 2006. Spectral partitioning, eigenvalue bounds, and circle packings for graphs of bounded genus. SIAM J. Comput. 35, 4, 882-902 (electronic).
-
(2006)
SIAM J. Comput.
, vol.35
, Issue.4
, pp. 882-902
-
-
Kelner, J.A.1
-
27
-
-
0027150658
-
Excluded minors, network decomposition, and multicommodity flow
-
ACM, New York
-
KLEIN, P. N., PLOTKIN, S. A., AND RAO, S. 1993. Excluded minors, network decomposition, and multicommodity flow. In Proceedings of the 25th Annual ACM Symposium on Theory of Computing. ACM, New York, 682-690.
-
(1993)
Proceedings of the 25th Annual ACM Symposium on Theory of Computing
, pp. 682-690
-
-
Klein, P.N.1
Plotkin, S.A.2
Rao, S.3
-
28
-
-
0002877399
-
Upper bounds for eigenvalues of conformal metrics
-
KOREVAAR, N. 1993. Upper bounds for eigenvalues of conformal metrics. J. Different. Geom. 37, 1, 73-93.
-
(1993)
J. Different. Geom.
, vol.37
, Issue.1
, pp. 73-93
-
-
Korevaar, N.1
-
29
-
-
0002144725
-
The minimum Hadwiger number for graphs with a given mean degree of vertices
-
KOSTOCHKA, A. V. 1982. The minimum Hadwiger number for graphs with a given mean degree of vertices. Metody Diskret. Analiz. 38, 37-58.
-
(1982)
Metody Diskret. Analiz.
, vol.38
, pp. 37-58
-
-
Kostochka, A.V.1
-
30
-
-
26844509176
-
Measured descent: A new embedding method for finite metrics
-
KRAUTHGAMER, R., LEE, J. R.,MENDEL, M., AND NAOR, A. 2005. Measured descent: A new embedding method for finite metrics. Geom. Funct. Anal. 15, 4, 839-858.
-
(2005)
Geom. Funct. Anal.
, vol.15
, Issue.4
, pp. 839-858
-
-
Krauthgamer, R.1
Lee, J.R.2
Mendel, M.3
Naor, A.4
-
31
-
-
0018457301
-
Aseparator theorem for planar graphs
-
LIPTON, R. J., AND TARJAN, R. E. 1979. Aseparator theorem for planar graphs. SIAM J. Appl. Math. 36, 2, 177-189.
-
(1979)
SIAM J. Appl. Math.
, vol.36
, Issue.2
, pp. 177-189
-
-
Lipton, R.J.1
Tarjan, R.E.2
-
32
-
-
32044446296
-
Graph minor theory
-
(electronic)
-
LOVÁSZ, L. 2006. Graph minor theory. Bull. Amer. Math. Soc. (N.S.) 43, 1, 75-86 (electronic).
-
(2006)
Bull. Amer. Math. Soc. (N.S.)
, vol.43
, Issue.1
, pp. 75-86
-
-
Lovász, L.1
-
34
-
-
0024772324
-
Conductance and convergence of Markov chains-a combinatorial treatment of expanders
-
IEEE Computer Society Press, Los Alamitos, CA
-
MIHAIL, G. 1989. Conductance and convergence of Markov chains-a combinatorial treatment of expanders. In Proceedings of the IEEE Symposium on Foundations of Computer Science. IEEE Computer Society Press, Los Alamitos, CA, 14-23.
-
(1989)
Proceedings of the IEEE Symposium on Foundations of Computer Science
, pp. 14-23
-
-
Mihail, G.1
-
35
-
-
0030703027
-
Separators for sphere-packings and nearest neighbor graphs
-
MILLER, G. L., TENG, S.-H., THURSTON, W., AND VAVASIS, S. A. 1997. Separators for sphere-packings and nearest neighbor graphs. J. ACM 44, 1, 1-29.
-
(1997)
J. ACM
, vol.44
, Issue.1
, pp. 1-29
-
-
Miller, G.L.1
Teng, S.-H.2
Thurston, W.3
Vavasis, S.A.4
-
36
-
-
0004505622
-
Geometric separators for finiteelement meshes
-
MILLER, G. L., TENG, S.-H., THURSTON, W., AND VAVASIS, S. A. 1998. Geometric separators for finiteelement meshes. SIAM J. Sci. Comput. 19, 2, 364-386.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, Issue.2
, pp. 364-386
-
-
Miller, G.L.1
Teng, S.-H.2
Thurston, W.3
Vavasis, S.A.4
-
38
-
-
0028264636
-
Shallow excluded minors and improved graph decompositions
-
ACM, New York
-
PLOTKIN, S., RAO, S., AND SMITH, W. D. 1994. Shallow excluded minors and improved graph decompositions. In Proceedings of the 5th Annual ACM-SIAM Symposium on Discrete Algorithms. ACM, New York, 462-470.
-
(1994)
Proceedings of the 5th Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 462-470
-
-
Plotkin, S.1
Rao, S.2
Smith, W.D.3
-
39
-
-
57949096148
-
Spectral nested disection
-
Department of Computer Science, Pennsylvania State University
-
POTHEN, A., SIMON, H. D., AND WANG, L. 1992. Spectral nested disection. Technical report CS-92-101, Department of Computer Science, Pennsylvania State University.
-
(1992)
Technical Report CS-92-101
-
-
Pothen, A.1
Simon, H.D.2
Wang, L.3
-
41
-
-
0032680556
-
Small distortion and volume preserving embeddings for planar and Euclidean metrics
-
ACM, New York
-
RAO, S. 1999. Small distortion and volume preserving embeddings for planar and Euclidean metrics. In Proceedings of the 15th Annual Symposium on Computational Geometry. ACM, New York, 300-306.
-
(1999)
Proceedings of the 15th Annual Symposium on Computational Geometry
, pp. 300-306
-
-
Rao, S.1
-
42
-
-
77950347072
-
-
Conference Proceedings and Lecture Notes in Geometry and Topology, International Press, Cambridge, MA
-
SCHOEN, R., AND YAU, S.-T. 1994. Lectures on Differential Geometry. Conference Proceedings and Lecture Notes in Geometry and Topology, I. International Press, Cambridge, MA.
-
(1994)
Lectures on Differential Geometry
, vol.1
-
-
Schoen, R.1
Yau, S.-T.2
-
43
-
-
51249162608
-
Square tilings with prescribed combinatorics
-
SCHRAMM, O. 1993. Square tilings with prescribed combinatorics. Israel J. Math. 84, 1-2, 97-118.
-
(1993)
Israel J. Math.
, vol.84
, Issue.1-2
, pp. 97-118
-
-
Schramm, O.1
-
44
-
-
16144366292
-
The crossing number of a graph on a compact 2-manifold
-
SHAHROKHI, F., ŚYKORA, O., SŹEKELY, L. A., AND VRŤO, I. 1996. The crossing number of a graph on a compact 2-manifold. Advances in Mathematics 123, 2, 105-119.
-
(1996)
Advances in Mathematics
, vol.123
, Issue.2
, pp. 105-119
-
-
Shahrokhi, F.1
Śykora, O.2
Sźekely, L.A.3
Vrťo, I.4
-
45
-
-
0034244751
-
Normalized cuts and image segmentation
-
SHI, J., AND MALIK, J. 2000. Normalized cuts and image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence 22, 8, 888-905.
-
(2000)
IEEE Transactions on Pattern Analysis and Machine Intelligence
, vol.22
, Issue.8
, pp. 888-905
-
-
Shi, J.1
Malik, J.2
-
46
-
-
44949282112
-
Partitioning of unstructured problems for parallel processing
-
SIMOH,H.D. 1991. Partitioning of unstructured problems for parallel processing. Comput. Syst. Eng. 2, 2, 135-148.
-
(1991)
Comput. Syst. Eng.
, vol.2
, Issue.2
, pp. 135-148
-
-
Simoh, H.D.1
-
48
-
-
0041350356
-
Combinatorial aspects of geometric graphs
-
TENG, S.-H. 1998. Combinatorial aspects of geometric graphs. Computational Geometry, 277-287.
-
(1998)
Computational Geometry
, pp. 277-287
-
-
Teng, S.-H.1
-
49
-
-
84976013923
-
An extremal function for contractions of graphs
-
THOMASON, A. 1984. An extremal function for contractions of graphs. Math. Proc. Cambridge Philos. Soc. 95, 2, 261-265.
-
(1984)
Math. Proc. Cambridge Philos. Soc.
, vol.95
, Issue.2
, pp. 261-265
-
-
Thomason, A.1
-
50
-
-
0003516752
-
Performance of dynamic load balancing algorithms for unstructured mesh calculations
-
California Institute of Technology
-
WILLIAMS, R. D. 1990. Performance of dynamic load balancing algorithms for unstructured mesh calculations. Tech. rep. California Institute of Technology.
-
(1990)
Tech. Rep.
-
-
Williams, R.D.1
-
51
-
-
0001991729
-
Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds
-
YANG, P. C., AND YAU, S. T. 1980. Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 7, 1, 55-63.
-
(1980)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.7
, Issue.1
, pp. 55-63
-
-
Yang, P.C.1
Yau, S.T.2
|