-
2
-
-
0029354779
-
Recent directions in netlist partitioning: a survey
-
Alpert C.J., and Kahng A.B. Recent directions in netlist partitioning: a survey. Integration: The VLSI J. 19 (1995) 1-81
-
(1995)
Integration: The VLSI J.
, vol.19
, pp. 1-81
-
-
Alpert, C.J.1
Kahng, A.B.2
-
3
-
-
51249173340
-
Eigenvalues and expanders
-
Alon N. Eigenvalues and expanders. Combinatorica 6 2 (1986) 83-96
-
(1986)
Combinatorica
, vol.6
, Issue.2
, pp. 83-96
-
-
Alon, N.1
-
4
-
-
33750994100
-
1, isoperimetric inequalities for graphs, and superconcentrators
-
1, isoperimetric inequalities for graphs, and superconcentrators. J. Combin. Theory Series B 38 (1985) 73-88
-
(1985)
J. Combin. Theory Series B
, vol.38
, pp. 73-88
-
-
Alon, N.1
Milman, V.D.2
-
5
-
-
84956252913
-
On convex polyhedra in lobacevskii space
-
Andreev E.M. On convex polyhedra in lobacevskii space. Math. USSR Sbornik 10 3 (1970) 413-440
-
(1970)
Math. USSR Sbornik
, vol.10
, Issue.3
, pp. 413-440
-
-
Andreev, E.M.1
-
6
-
-
84861338328
-
On convex polyhedra of finite volume in lobacevskii space
-
Andreev E.M. On convex polyhedra of finite volume in lobacevskii space. Math. USSR Sbornik 12 2 (1970) 259-270
-
(1970)
Math. USSR Sbornik
, vol.12
, Issue.2
, pp. 259-270
-
-
Andreev, E.M.1
-
8
-
-
4544250512
-
-
S. Arora, S. Rao, U. Vazirani, Expander flows, geometric embeddings and graph partitioning, in: Proceedings of the Thirty-sixth Annual ACM Symposium on Theory of Computing, 2004, pp. 222-231.
-
-
-
-
9
-
-
0016939764
-
On the angle condition in the finite element method
-
Babuška I., and Aziz A.K. On the angle condition in the finite element method. SIAM J. Numer. Anal. 13 2 (1976) 214-226
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, Issue.2
, pp. 214-226
-
-
Babuška, I.1
Aziz, A.K.2
-
10
-
-
0001259868
-
An algorithm for partitioning of nodes of a graph
-
Barnes E.R. An algorithm for partitioning of nodes of a graph. SIAM J. Algebraic Discrete Methods 4 3 (1982) 541-550
-
(1982)
SIAM J. Algebraic Discrete Methods
, vol.4
, Issue.3
, pp. 541-550
-
-
Barnes, E.R.1
-
11
-
-
0023346636
-
A partitioning strategy for nonuniform problems on multiprocessors
-
Berger M.J., and Bokhari S. A partitioning strategy for nonuniform problems on multiprocessors. IEEE Trans. Comp. C-36 (1987) 570-580
-
(1987)
IEEE Trans. Comp.
, vol.C-36
, pp. 570-580
-
-
Berger, M.J.1
Bokhari, S.2
-
12
-
-
0001914423
-
Mesh generation and optimal triangulation
-
Hwang F.K., and Du D.-Z. (Eds), World Scientific
-
Bern M., and Eppstein D. Mesh generation and optimal triangulation. In: Hwang F.K., and Du D.-Z. (Eds). Computing in Euclidean Geometry (1992), World Scientific 23-90
-
(1992)
Computing in Euclidean Geometry
, pp. 23-90
-
-
Bern, M.1
Eppstein, D.2
-
15
-
-
33846349887
-
A hierarchical O(nlog n) force calculation algorithm
-
Barnes J., and Hut P. A hierarchical O(nlog n) force calculation algorithm. Nature 324 (1986) 446-449
-
(1986)
Nature
, vol.324
, pp. 446-449
-
-
Barnes, J.1
Hut, P.2
-
18
-
-
33846240832
-
-
S.T. Barnard, H.D. Simon, A fast multilevel implementation of recursive spectral bisection for partitioning unstructured problems, Technical Report RNR-92-033, NASA Ames Research Center, 1992.
-
-
-
-
20
-
-
20344362744
-
A lower bound for the smallest eigenvalue of the laplacian
-
Gunning R.C. (Ed), Princeton University Press
-
Cheeger J. A lower bound for the smallest eigenvalue of the laplacian. In: Gunning R.C. (Ed). Problems in Analysis (1970), Princeton University Press 195-199
-
(1970)
Problems in Analysis
, pp. 195-199
-
-
Cheeger, J.1
-
21
-
-
33846263410
-
-
T.F. Chan, D.C. Resasco, A framework for the analysis and construction of domain decomposition preconditioners, Technical Report CAM-87-09, UCLA, 1987.
-
-
-
-
22
-
-
84968468352
-
Diameters and eigenvalues
-
Chung F.R.K. Diameters and eigenvalues. J. Amer. Math. Soc. 2 2 (1989) 187-196
-
(1989)
J. Amer. Math. Soc.
, vol.2
, Issue.2
, pp. 187-196
-
-
Chung, F.R.K.1
-
25
-
-
0005900276
-
Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes
-
Chan T.F., and Smith B. Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes. Contemp. Math. (1993) 1-14
-
(1993)
Contemp. Math.
, pp. 1-14
-
-
Chan, T.F.1
Smith, B.2
-
26
-
-
33846186343
-
-
P.K. Chan, M. Schlag, J. Zien, Spectral k-way ratio cut partitioning and clustering, in: Symp. on Integrated Systems, 1993.
-
-
-
-
27
-
-
33846208708
-
-
H.N. Djidjev, J. R. Gilbert, Separators in graphs with negative and multiple vertex weights, Technical Report CS-92-07, Xerox PARC, Palo Alto, 1992.
-
-
-
-
28
-
-
0011504283
-
Algorithms for partitioning of graphs and computer logic based on eigenvectors of connection matrices
-
Donath W.E., and Hoffman A.J. Algorithms for partitioning of graphs and computer logic based on eigenvectors of connection matrices. IBM Techn. Disclosure Bull. 15 (1972) 938-944
-
(1972)
IBM Techn. Disclosure Bull.
, vol.15
, pp. 938-944
-
-
Donath, W.E.1
Hoffman, A.J.2
-
29
-
-
0015661138
-
Lower bounds for the partitioning of graphs
-
Donath W.E., and Hoffman A.J. Lower bounds for the partitioning of graphs. J. Res. Develop. 17 (1973) 420-425
-
(1973)
J. Res. Develop.
, vol.17
, pp. 420-425
-
-
Donath, W.E.1
Hoffman, A.J.2
-
30
-
-
0002740591
-
Geometric bounds for eigenvalues of Markov chains
-
Diaconis P., and Strook D. Geometric bounds for eigenvalues of Markov chains. Ann. Appl. Probab. 1 1 (1991) 36-61
-
(1991)
Ann. Appl. Probab.
, vol.1
, Issue.1
, pp. 36-61
-
-
Diaconis, P.1
Strook, D.2
-
32
-
-
84974755555
-
A deterministic linear time algorithm for geometric separators and its applications
-
Eppstein D., Miller G.L., and Teng S.-H. A deterministic linear time algorithm for geometric separators and its applications. Fund. Inform. 22 4 (1995) 309-330
-
(1995)
Fund. Inform.
, vol.22
, Issue.4
, pp. 309-330
-
-
Eppstein, D.1
Miller, G.L.2
Teng, S.-H.3
-
33
-
-
0001350119
-
Algebraic connectivity of graphs
-
Fiedler M. Algebraic connectivity of graphs. Czechoslovak Math. J. 23 98 (1973) 298-305
-
(1973)
Czechoslovak Math. J.
, vol.23
, Issue.98
, pp. 298-305
-
-
Fiedler, M.1
-
34
-
-
0003186094
-
Eigenvectors of acyclic matrices
-
Fiedler M. Eigenvectors of acyclic matrices. Czechoslovak Math. J. 25 100 (1975) 607-618
-
(1975)
Czechoslovak Math. J.
, vol.25
, Issue.100
, pp. 607-618
-
-
Fiedler, M.1
-
35
-
-
0000827674
-
A property of eigenvectors of nonnegative symmetric matrices and its applications to graph theory
-
Fiedler M. A property of eigenvectors of nonnegative symmetric matrices and its applications to graph theory. Czechoslovak Math. J. 25 100 (1975) 619-633
-
(1975)
Czechoslovak Math. J.
, vol.25
, Issue.100
, pp. 619-633
-
-
Fiedler, M.1
-
36
-
-
0002590276
-
Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process
-
Fill J.A. Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process. Ann. Appl. Probab. 1 1 (1991) 62-87
-
(1991)
Ann. Appl. Probab.
, vol.1
, Issue.1
, pp. 62-87
-
-
Fill, J.A.1
-
37
-
-
85003413406
-
Condition of finite element matrices generated from nonuniform meshes
-
Fried I. Condition of finite element matrices generated from nonuniform meshes. AIAA J. 10 (1972) 219-221
-
(1972)
AIAA J.
, vol.10
, pp. 219-221
-
-
Fried, I.1
-
38
-
-
0343603623
-
Finding separator cuts in planar graphs within twice the optimal
-
Garg N., Saran H., and Vazirani V.V. Finding separator cuts in planar graphs within twice the optimal. SIAM J. Comput. 29 1 (1999) 159-179
-
(1999)
SIAM J. Comput.
, vol.29
, Issue.1
, pp. 159-179
-
-
Garg, N.1
Saran, H.2
Vazirani, V.V.3
-
40
-
-
33846249955
-
-
John Russell Gilbert, Graph Separator theorems and sparse gaussian elimination, Ph.D. thesis, Computer Science Department, Stanford University, 1980.
-
-
-
-
41
-
-
33846247472
-
-
J.R. Gilbert, N. Kahale, personal communication, 1995.
-
-
-
-
43
-
-
0000396658
-
A fast algorithm for particles simulations
-
Greengard L., and Roklin V. A fast algorithm for particles simulations. J. Comput. Phys. 73 (1987) 325-348
-
(1987)
J. Comput. Phys.
, vol.73
, pp. 325-348
-
-
Greengard, L.1
Roklin, V.2
-
46
-
-
0026925324
-
New spectral methods for ratio cut partitioning and clustering
-
Hagen L., and Kahng A.B. New spectral methods for ratio cut partitioning and clustering. IEEE Trans. Computer-Aided Des. 11 9 (1992) 1074-1085
-
(1992)
IEEE Trans. Computer-Aided Des.
, vol.11
, Issue.9
, pp. 1074-1085
-
-
Hagen, L.1
Kahng, A.B.2
-
47
-
-
0014869120
-
An r-dimensional quadratic placement algorithm
-
Hall K.M. An r-dimensional quadratic placement algorithm. Manage. Sci. 17 (1970) 219-229
-
(1970)
Manage. Sci.
, vol.17
, pp. 219-229
-
-
Hall, K.M.1
-
48
-
-
33846199156
-
-
Bruce Hendrickson, Robert Leland, An improved spectral graph partitioning algorithm for mapping parallel computation, Technical Report SAND92-1460, Sandia National Lab., December 1992.
-
-
-
-
49
-
-
33846233101
-
-
Bruce Hendrickson, Robert Leland, The Chaco user's guide, Version 1.0, Technical Report SAND93-2339, Sandia National Lab., 1993.
-
-
-
-
51
-
-
4544358283
-
-
J.A. Kelner, Spectral partitioning, eigenvalue Bounds, and circle packings for graphs of bounded genus, in: Proceedings of the 36th Annual ACM Symposium on the Theory of Computing, 2004.
-
-
-
-
53
-
-
0024135198
-
-
F.T. Leighton, S. Rao, An approximate max-flow min-cut theorem for uniform multicommodity flow problems with applications to approximation algorithms, in: 29th Annual Symposium on Foundations of Computer Science, 1988, pp. 422-431.
-
-
-
-
54
-
-
0018457301
-
A separator theorem for planar graphs
-
Lipton R.J., and Tarjan R.E. A separator theorem for planar graphs. SIAM J. Appl Math. 36 April (1979) 177-189
-
(1979)
SIAM J. Appl Math.
, vol.36
, Issue.April
, pp. 177-189
-
-
Lipton, R.J.1
Tarjan, R.E.2
-
55
-
-
0024772324
-
Conductance and convergence of Markov chains-a combinatorial treatment of expanders
-
IEEE
-
Mihail M. Conductance and convergence of Markov chains-a combinatorial treatment of expanders. 30th Annual Symposium on Foundations of Computer Science (1989), IEEE 526-531
-
(1989)
30th Annual Symposium on Foundations of Computer Science
, pp. 526-531
-
-
Mihail, M.1
-
56
-
-
33846219490
-
-
B. Mohar, The Laplacian spectrum of graphs, in: Sixth International Conference on the Theory and Applications of Graphs, 1988, pp. 871-898.
-
-
-
-
57
-
-
0001649842
-
Isoperimetric numbers of graphs
-
Mohar B. Isoperimetric numbers of graphs. J. Combin. Theory, Series B 47 (1989) 274-291
-
(1989)
J. Combin. Theory, Series B
, vol.47
, pp. 274-291
-
-
Mohar, B.1
-
60
-
-
0030703027
-
Separators for sphere-packings and nearest neighborhood graphs
-
Miller G.L., Teng S.-H., Thurston W., and Vavasis S.A. Separators for sphere-packings and nearest neighborhood graphs. J. ACM 44 1 (1997) 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
-
61
-
-
0000349754
-
A Delaunay based numerical method for three dimensions: generation, formulation, and partition
-
ACM
-
Miller G.L., Talmor D., Teng S.-H., and Walkington N. A Delaunay based numerical method for three dimensions: generation, formulation, and partition. Proceedings of the 27th Annual ACM Symposium on Theory of Computing, Las Vegas, May 1995 (1995), ACM 683-692
-
(1995)
Proceedings of the 27th Annual ACM Symposium on Theory of Computing, Las Vegas, May 1995
, pp. 683-692
-
-
Miller, G.L.1
Talmor, D.2
Teng, S.-H.3
Walkington, N.4
-
63
-
-
33746234622
-
-
Gary L. Miller, Stephen A. Vavasis, Density graphs and separators, in: Proceedings of the ACM-SIAM Symposium on Discrete Algorithms, 1991, pp. 331-336.
-
-
-
-
64
-
-
0026822185
-
Direct discretization of planar div-curl problems
-
Nicolaides R.A. Direct discretization of planar div-curl problems. SIAM J. Numer. Anal. 29 1 (1992)
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, Issue.1
-
-
Nicolaides, R.A.1
-
67
-
-
84968486060
-
Estimating the largest eigenvalues with the lanczos algorithm
-
Parlett B., Simon H., and Stringer L. Estimating the largest eigenvalues with the lanczos algorithm. Math. Comput. 38 (1982) 153-165
-
(1982)
Math. Comput.
, vol.38
, pp. 153-165
-
-
Parlett, B.1
Simon, H.2
Stringer, L.3
-
68
-
-
33846224287
-
-
A. Pothen, H. D. Simon, L. Wang, Spectral nested dissection, Technical Report CS-92-01, Pennsylvania State University, Department of Computer Science, 1992.
-
-
-
-
70
-
-
44949282112
-
Partitioning of unstructured problems for parallel processing
-
Simon H.D. Partitioning of unstructured problems for parallel processing. Comput. Syst. Eng. 2 2/3 (1991) 135-148
-
(1991)
Comput. Syst. Eng.
, vol.2
, Issue.2-3
, pp. 135-148
-
-
Simon, H.D.1
-
72
-
-
0024699930
-
Approximative counting, uniform generation and rapidly mixing Markov chains
-
Sinclair A., and Jerrum M. Approximative counting, uniform generation and rapidly mixing Markov chains. Inform. Comput. 82 1 (1989) 93-133
-
(1989)
Inform. Comput.
, vol.82
, Issue.1
, pp. 93-133
-
-
Sinclair, A.1
Jerrum, M.2
-
73
-
-
0029714729
-
-
D.A. Spielman, S.-H. Teng, Disk packings and planar separators, in: Proceedings of 12th ACM Symposium on Computational Geometry, May 1996, pp. 358-394.
-
-
-
-
74
-
-
0030381960
-
-
D.A. Spielman, S.-H. Teng, Spectral partitioning works: planar graphs and finite element meshes, in: Proceedings of the 37th Annual Symposium on Foundations of Computer Science, 1996, pp. 96-106.
-
-
-
-
76
-
-
33846253593
-
-
S.-H. Teng, Points, spheres, and separators: a unified geometric approach to graph partitioning, Ph.D. thesis, Carnegie-Mellon University, School of Computer Science, 1991, CMU-CS-91-184.
-
-
-
-
77
-
-
0000016962
-
Provably good partitioning and load balancing algorithms for parallel adaptive n-body simulation
-
Teng S.-H. Provably good partitioning and load balancing algorithms for parallel adaptive n-body simulation. SIAM J. Scient. Comput. 19 2 (1998) 635-656
-
(1998)
SIAM J. Scient. Comput.
, vol.19
, Issue.2
, pp. 635-656
-
-
Teng, S.-H.1
-
78
-
-
0041350356
-
Combinatorial aspects of geometric graphs
-
Teng S.-H. Combinatorial aspects of geometric graphs. Comput. Geom. 9 (1998) 277-287
-
(1998)
Comput. Geom.
, vol.9
, pp. 277-287
-
-
Teng, S.-H.1
-
79
-
-
33846186342
-
-
W.P. Thurston, The geometry and topology of 3-manifolds, Princeton University Notes, 1988.
-
-
-
-
81
-
-
0343783542
-
A theorem on planar graphs
-
Ungar P. A theorem on planar graphs. J. London Math. Soc. 26 (1951) 256-262
-
(1951)
J. London Math. Soc.
, vol.26
, pp. 256-262
-
-
Ungar, P.1
-
82
-
-
33846186755
-
-
R.D. Williams, Performance of dynamic load balancing algorithms for unstructured mesh calculations, Technical Report, California Institute of Technology, 1990.
-
-
-
-
83
-
-
33846233100
-
-
F. Zhao, An O(n) algorithm for three-dimensional n-body simulation, Technical Report TR AI Memo 995, MIT, AI Lab., October 1987.
-
-
-
|