메뉴 건너뛰기




Volumn 306, Issue 3, 2006, Pages 297-317

Minimal triangulations of graphs: A survey

Author keywords

Chordal graphs; Minimal fill; Minimal triangulation

Indexed keywords

ALGORITHMS; CHARACTERIZATION; MATRIX ALGEBRA; SURVEYS; TRIANGULATION;

EID: 33344477330     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disc.2005.12.003     Document Type: Article
Times cited : (168)

References (84)
  • 1
    • 0038438258 scopus 로고
    • An efficient algorithm for finding a two-pair, and its applications
    • S. Arikati, and P. Rangan An efficient algorithm for finding a two-pair, and its applications Discrete Appl. Math. 31 1991 71 74
    • (1991) Discrete Appl. Math. , vol.31 , pp. 71-74
    • Arikati, S.1    Rangan, P.2
  • 3
    • 0022194040 scopus 로고
    • A fast algorithm for finding an edge-maximal subgraph with a TR-formative coloring
    • E. Balas A fast algorithm for finding an edge-maximal subgraph with a TR-formative coloring Discrete Appl. Math. 15 1986 123 134
    • (1986) Discrete Appl. Math. , vol.15 , pp. 123-134
    • Balas, E.1
  • 7
    • 21044444304 scopus 로고    scopus 로고
    • Maximum cardinality search for computing minimal triangulations of graphs
    • A. Berry, J.R.S. Blair, P. Heggernes, and B.W. Peyton Maximum cardinality search for computing minimal triangulations of graphs Algorithmica 39 4 2004 287 298
    • (2004) Algorithmica , vol.39 , Issue.4 , pp. 287-298
    • Berry, A.1    Blair, J.R.S.2    Heggernes, P.3    Peyton, B.W.4
  • 8
    • 0041858125 scopus 로고    scopus 로고
    • Separability generalizes Dirac's theorem
    • A. Berry, and J.-P. Bordat Separability generalizes Dirac's theorem Discrete Appl. Math. 84 1998 43 53
    • (1998) Discrete Appl. Math. , vol.84 , pp. 43-53
    • Berry, A.1    Bordat, J.-P.2
  • 10
    • 28444487909 scopus 로고    scopus 로고
    • A wide-range algorithm for minimal triangulation from an arbitrary ordering
    • A. Berry, J.-P. Bordat, P. Heggernes, G. Simonet, and Y. Villanger A wide-range algorithm for minimal triangulation from an arbitrary ordering J. Algorithms 58 1 2006 33 66
    • (2006) J. Algorithms , vol.58 , Issue.1 , pp. 33-66
    • Berry, A.1    Bordat, J.-P.2    Heggernes, P.3    Simonet, G.4    Villanger, Y.5
  • 11
    • 0344392004 scopus 로고    scopus 로고
    • The minimum degree heuristic and the minimal triangulation process
    • Proceedings of the 29th Workshop on Graph Theoretic Concepts in Computer Science Springer, Berlin
    • A. Berry, P. Heggernes, G. Simonet, The minimum degree heuristic and the minimal triangulation process, Proceedings of the 29th Workshop on Graph Theoretic Concepts in Computer Science, Lecture Notes in Computer Science, vol. 2880, Springer, Berlin, 2003, pp. 58-70.
    • (2003) Lecture Notes in Computer Science , vol.2880 , pp. 58-70
    • Berry, A.1    Heggernes, P.2    Simonet, G.3
  • 12
    • 35248848869 scopus 로고    scopus 로고
    • A vertex incremental approach for dynamically maintaining chordal graphs
    • Algorithms and Computation - ISAAC 2003 Springer, Berlin
    • A. Berry, P. Heggernes, Y. Villanger, A vertex incremental approach for dynamically maintaining chordal graphs, in: Algorithms and Computation - ISAAC 2003, Lecture Notes in Computer Science, vol. 2906, Springer, Berlin, 2003, pp. 47-57.
    • (2003) Lecture Notes in Computer Science , vol.2906 , pp. 47-57
    • Berry, A.1    Heggernes, P.2    Villanger, Y.3
  • 13
    • 0034911146 scopus 로고    scopus 로고
    • A practical algorithm for making filled graphs minimal
    • J.R.S. Blair, P. Heggernes, and J.A. Telle A practical algorithm for making filled graphs minimal Theoret. Comput. Sci. 250 2001 125 141
    • (2001) Theoret. Comput. Sci. , vol.250 , pp. 125-141
    • Blair, J.R.S.1    Heggernes, P.2    Telle, J.A.3
  • 14
    • 0001891186 scopus 로고
    • An introduction to chordal graphs and clique trees
    • J.A. George, J.R. Gilbert, J.W.H. Liu (Eds.), Sparse matrix computations: graph theory issues and algorithms Springer, Berlin
    • J.R.S. Blair, B.W. Peyton, An introduction to chordal graphs and clique trees, in: J.A. George, J.R. Gilbert, J.W.H. Liu (Eds.), Sparse matrix computations: graph theory issues and algorithms, IMA Volumes in Mathematics and its Applications, vol. 56, Springer, Berlin, 1993, pp. 1-30.
    • (1993) IMA Volumes in Mathematics and Its Applications , vol.56 , pp. 1-30
    • Blair, J.R.S.1    Peyton, B.W.2
  • 15
    • 85037918238 scopus 로고
    • A tourist guide through treewidth
    • H.L. Bodlaender A tourist guide through treewidth Acta Cybernet. 11 1993 1 21
    • (1993) Acta Cybernet. , vol.11 , pp. 1-21
    • Bodlaender, H.L.1
  • 17
    • 33344464642 scopus 로고    scopus 로고
    • Safe separators for treewidth
    • Institute of Information and Computing Sciences, Utrecht University, Netherlands
    • H.L. Bodlaender, A.M.C.A. Koster, Safe separators for treewidth, Technical Report UU-CS-2003-027, Institute of Information and Computing Sciences, Utrecht University, Netherlands, 2002.
    • (2002) Technical Report , vol.UU-CS-2003-027
    • Bodlaender, H.L.1    Koster, A.M.C.A.2
  • 19
    • 0036215402 scopus 로고    scopus 로고
    • Treewidth and minimum fill in: Grouping the minimal separators
    • V. Bouchitté, and I. Todinca Treewidth and minimum fill in: grouping the minimal separators SIAM J. Comput. 31 2001 212 232
    • (2001) SIAM J. Comput. , vol.31 , pp. 212-232
    • Bouchitté, V.1    Todinca, I.2
  • 20
    • 0037029296 scopus 로고    scopus 로고
    • Listing all potential maximal cliques of a graph
    • V. Bouchitté, and I. Todinca Listing all potential maximal cliques of a graph Theoret. Comput. Sci. 276 1-2 2002 17 32
    • (2002) Theoret. Comput. Sci. , vol.276 , Issue.1-2 , pp. 17-32
    • Bouchitté, V.1    Todinca, I.2
  • 21
    • 0345618553 scopus 로고    scopus 로고
    • A linear time algorithm for minimum fill-in and treewidth for distance hereditary graphs
    • H.J. Broersma, E. Dahlhaus, and T. Kloks A linear time algorithm for minimum fill-in and treewidth for distance hereditary graphs Discrete Appl. Math. 99 2000 367 400
    • (2000) Discrete Appl. Math. , vol.99 , pp. 367-400
    • Broersma, H.J.1    Dahlhaus, E.2    Kloks, T.3
  • 22
    • 49549154127 scopus 로고
    • A characterization of rigid circuit graphs
    • P. Buneman A characterization of rigid circuit graphs Discrete Math. 9 1974 205 212
    • (1974) Discrete Math. , vol.9 , pp. 205-212
    • Buneman, P.1
  • 23
    • 0000971678 scopus 로고    scopus 로고
    • Fixed-parameter tractability of graph modification problems for hereditary properties
    • L. Cai Fixed-parameter tractability of graph modification problems for hereditary properties Inform. Process. Lett. 58 4 1996 171 176
    • (1996) Inform. Process. Lett. , vol.58 , Issue.4 , pp. 171-176
    • Cai, L.1
  • 24
    • 0024089416 scopus 로고
    • NC algorithms for recognizing chordal graphs and k-trees
    • N. Chandrasekharan, and S.S. Iyengar NC algorithms for recognizing chordal graphs and k -trees IEEE Trans. Comput. 37 10 1988 1178 1183
    • (1988) IEEE Trans. Comput. , vol.37 , Issue.10 , pp. 1178-1183
    • Chandrasekharan, N.1    Iyengar, S.S.2
  • 25
    • 0242327588 scopus 로고
    • Chordal completions of planar graphs
    • F.R.K. Chung, and D. Mumford Chordal completions of planar graphs J. Combin. Theory 31 1994 96 106
    • (1994) J. Combin. Theory , vol.31 , pp. 96-106
    • Chung, F.R.K.1    Mumford, D.2
  • 26
    • 85023205150 scopus 로고
    • Matrix multiplication via arithmetic progressions
    • D. Coppersmith, and S. Winograd Matrix multiplication via arithmetic progressions J. Symbolic Comput. 9 1990 1 6
    • (1990) J. Symbolic Comput. , vol.9 , pp. 1-6
    • Coppersmith, D.1    Winograd, S.2
  • 29
    • 84949681561 scopus 로고    scopus 로고
    • Minimal elimination ordering inside a given chordal graph
    • Graph Theoretical Concepts in Computer Science - WG'97 Springer, Berlin
    • E. Dahlhaus, Minimal elimination ordering inside a given chordal graph, in: Graph Theoretical Concepts in Computer Science - WG'97, Lecture Notes in Computer Science, vol. 1335, Springer, Berlin, 1997, pp. 132-143.
    • (1997) Lecture Notes in Computer Science , vol.1335 , pp. 132-143
    • Dahlhaus, E.1
  • 30
    • 22044452103 scopus 로고    scopus 로고
    • Minimal elimination of planar graphs
    • S. Arnborg, L. Ivansson (Eds.), Algorithm Theory - SWAT 1998 Springer, Berlin
    • E. Dahlhaus, Minimal elimination of planar graphs, in: S. Arnborg, L. Ivansson (Eds.), Algorithm Theory - SWAT 1998, Lecture Notes in Computer Science, vol. 1432, Springer, Berlin, 1998, pp. 210-221.
    • (1998) Lecture Notes in Computer Science , vol.1432 , pp. 210-221
    • Dahlhaus, E.1
  • 31
    • 33344476254 scopus 로고    scopus 로고
    • An improved linear time algorithm for minimal elimination ordering in planar graphs that is parallelizable
    • ALCOM-IT European Union ESPRIT LTR Project 20244
    • E. Dahlhaus, An improved linear time algorithm for minimal elimination ordering in planar graphs that is parallelizable, Technical report TR-465-99, ALCOM-IT European Union ESPRIT LTR Project 20244, 1999.
    • (1999) Technical Report , vol.TR-465-99
    • Dahlhaus, E.1
  • 33
    • 84867931650 scopus 로고    scopus 로고
    • Minimal elimination ordering for graphs of bounded degree
    • E. Dahlhaus Minimal elimination ordering for graphs of bounded degree Discrete Appl. Math. 116 2002 127 143
    • (2002) Discrete Appl. Math. , vol.116 , pp. 127-143
    • Dahlhaus, E.1
  • 34
    • 0028544297 scopus 로고
    • An efficient parallel algorithm for the minimal elimination ordering of an arbitrary graph
    • E. Dahlhaus, and M. Karpinski An efficient parallel algorithm for the minimal elimination ordering of an arbitrary graph Theoret. Comput. Sci. 134 2 1994 493 528
    • (1994) Theoret. Comput. Sci. , vol.134 , Issue.2 , pp. 493-528
    • Dahlhaus, E.1    Karpinski, M.2
  • 38
    • 0023642102 scopus 로고
    • Chordal graph recognition is in NC
    • A. Edenbrandt Chordal graph recognition is in NC Inform. Process. Lett. 24 1987 239 241
    • (1987) Inform. Process. Lett. , vol.24 , pp. 239-241
    • Edenbrandt, A.1
  • 39
    • 35048864458 scopus 로고    scopus 로고
    • Exact (exponential) algorithms for treewidth and minimum fill-in
    • Automata, Languages and Programming - ICALP 2004 Springer, Berlin
    • F.V. Fomin, D. Kratsch, I. Todinca, Exact (exponential) algorithms for treewidth and minimum fill-in, in: Automata, Languages and Programming - ICALP 2004, Lecture Notes in Computer Science, vol. 3142, Springer, Berlin, 2004, pp. 568-580.
    • (2004) Lecture Notes in Computer Science , vol.3142 , pp. 568-580
    • Fomin, F.V.1    Kratsch, D.2    Todinca, I.3
  • 40
    • 84972514233 scopus 로고
    • Incidence matrices and interval graphs
    • D.R. Fulkerson, and O.A. Gross Incidence matrices and interval graphs Pacific J. Math. 15 1965 835 855
    • (1965) Pacific J. Math. , vol.15 , pp. 835-855
    • Fulkerson, D.R.1    Gross, O.A.2
  • 42
    • 41549118299 scopus 로고
    • The intersection graphs of subtrees in trees are exactly the chordal graphs
    • F. Gavril The intersection graphs of subtrees in trees are exactly the chordal graphs J. Combin. Theory Ser. B 16 1974 47 56
    • (1974) J. Combin. Theory Ser. B , vol.16 , pp. 47-56
    • Gavril, F.1
  • 43
    • 0000264382 scopus 로고
    • Nested dissection of a regular finite element mesh
    • J.A. George Nested dissection of a regular finite element mesh SIAM J. Numer. Anal. 10 1973 345 363
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 345-363
    • George, J.A.1
  • 50
    • 33344462132 scopus 로고    scopus 로고
    • Computing minimal triangulations in time O(nαlog n)= o(n 2.376)
    • P. Heggernes, J.A. Telle, and Y. Villanger Computing minimal triangulations in time O (n α log n ) = o (n 2.376 ) SIAM J. Disc. Math. 19 4 2005 900 913
    • (2005) SIAM J. Disc. Math. , vol.19 , Issue.4 , pp. 900-913
    • Heggernes, P.1    Telle, J.A.2    Villanger, Y.3
  • 51
    • 84938097367 scopus 로고    scopus 로고
    • Efficient implementation of a minimal triangulation algorithm
    • Algorithms - ESA 2002 Springer, Berlin
    • P. Heggernes, Y. Villanger, Efficient implementation of a minimal triangulation algorithm, in: Algorithms - ESA 2002, Lecture Notes in Computer Science, vol. 2461, Springer, Berlin, 2002, pp. 550-561.
    • (2002) Lecture Notes in Computer Science , vol.2461 , pp. 550-561
    • Heggernes, P.1    Villanger, Y.2
  • 52
    • 0024640980 scopus 로고
    • Counting clique trees and computing perfect elimination schemes in parallel
    • C.W. Ho, and R.C.T. Lee Counting clique trees and computing perfect elimination schemes in parallel Inform. Process. Lett. 31 1989 61 68
    • (1989) Inform. Process. Lett. , vol.31 , pp. 61-68
    • Ho, C.W.1    Lee, R.C.T.2
  • 54
    • 0032606871 scopus 로고    scopus 로고
    • Tractability of parameterized completion problems on chordal, strongly chordal, and proper interval graphs
    • H. Kaplan, R. Shamir, and R.E. Tarjan Tractability of parameterized completion problems on chordal, strongly chordal, and proper interval graphs SIAM J. Comput. 28 5 1999 1906 1922
    • (1999) SIAM J. Comput. , vol.28 , Issue.5 , pp. 1906-1922
    • Kaplan, H.1    Shamir, R.2    Tarjan, R.E.3
  • 55
    • 85014857667 scopus 로고
    • Computing treewidth and minimum fill-in: All you need are the minimal separators
    • T. Lengauer (Ed.), Algorithms - ESA 1993 Springer, Berlin
    • T. Kloks, H.L. Bodlaender, H. Müller, D. Kratsch, Computing treewidth and minimum fill-in: all you need are the minimal separators, in: T. Lengauer (Ed.), Algorithms - ESA 1993, Lecture Notes in Computer Science, vol. 726, Springer, Berlin, 1993, pp. 260-271.
    • (1993) Lecture Notes in Computer Science , vol.726 , pp. 260-271
    • Kloks, T.1    Bodlaender, H.L.2    Müller, H.3    Kratsch, D.4
  • 57
    • 0001740507 scopus 로고    scopus 로고
    • Listing all minimal separators of a graph
    • T. Kloks, and D. Kratsch Listing all minimal separators of a graph SIAM J. Comput. 27 3 1998 605 613
    • (1998) SIAM J. Comput. , vol.27 , Issue.3 , pp. 605-613
    • Kloks, T.1    Kratsch, D.2
  • 58
    • 0142190381 scopus 로고    scopus 로고
    • On the structure of graphs with bounded asteroidal number
    • T. Kloks, D. Kratsch, and H. Müller On the structure of graphs with bounded asteroidal number Graphs Combin. 17 2001 295 306
    • (2001) Graphs Combin. , vol.17 , pp. 295-306
    • Kloks, T.1    Kratsch, D.2    Müller, H.3
  • 59
    • 0031118743 scopus 로고    scopus 로고
    • On treewidth and minimum fill-in of asteroidal triple-free graphs
    • T. Kloks, D. Kratsch, and J. Spinrad On treewidth and minimum fill-in of asteroidal triple-free graphs Theoret. Comput. Sci. 175 1997 309 335
    • (1997) Theoret. Comput. Sci. , vol.175 , pp. 309-335
    • Kloks, T.1    Kratsch, D.2    Spinrad, J.3
  • 60
    • 33344458097 scopus 로고    scopus 로고
    • Minimal fill in o (n 3) time
    • in press
    • D. Kratsch, J. Spinrad, Minimal fill in o (n 3 ) time, Discrete Math. in press, 10.1016/j.disc.2005.12.009.
    • Discrete Math.
    • Kratsch, D.1    Spinrad, J.2
  • 61
    • 0000148891 scopus 로고
    • Domination on cocomparability graphs
    • D. Kratsch, and L. Stewart Domination on cocomparability graphs SIAM J. Discrete Math. 6 3 1993 400 417
    • (1993) SIAM J. Discrete Math. , vol.6 , Issue.3 , pp. 400-417
    • Kratsch, D.1    Stewart, L.2
  • 62
    • 0001006209 scopus 로고
    • Local computations with probabilities on graphical structures and their applications to expert systems
    • S.L. Lauritzen, and D.J. Spiegelhalter Local computations with probabilities on graphical structures and their applications to expert systems J. Roy. Statist. Soc. Ser B 50 1988 157 224
    • (1988) J. Roy. Statist. Soc. ser B , vol.50 , pp. 157-224
    • Lauritzen, S.L.1    Spiegelhalter, D.J.2
  • 63
    • 0002215434 scopus 로고
    • Representation of a finite graph by a set of intervals on the real line
    • C.G. Lekkerkerker, and J.C. Boland Representation of a finite graph by a set of intervals on the real line Fund. Math. 51 1962 45 64
    • (1962) Fund. Math. , vol.51 , pp. 45-64
    • Lekkerkerker, C.G.1    Boland, J.C.2
  • 64
    • 0004445856 scopus 로고
    • Equivalent sparse matrix reorderings by elimination tree rotations
    • J.W.H. Liu Equivalent sparse matrix reorderings by elimination tree rotations SIAM J. Sci. Statist. Comput. 9 3 1988 424 444
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , Issue.3 , pp. 424-444
    • Liu, J.W.H.1
  • 65
    • 0001450272 scopus 로고
    • The role of elimination trees in sparse factorization
    • J.W.H. Liu The role of elimination trees in sparse factorization SIAM J. Matrix Anal. Appl. 11 1 1990 134 172
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , Issue.1 , pp. 134-172
    • Liu, J.W.H.1
  • 66
    • 0000848263 scopus 로고    scopus 로고
    • Modular decomposition and transitive orientation
    • R.M. McConnell, and J.P. Spinrad Modular decomposition and transitive orientation Discrete Appl. Math. 201 1-3 1999 189 241
    • (1999) Discrete Appl. Math. , vol.201 , Issue.1-3 , pp. 189-241
    • McConnell, R.M.1    Spinrad, J.P.2
  • 67
    • 1642642513 scopus 로고    scopus 로고
    • Recognizing and computing minimal triangulations efficiently
    • Julius Maximilians Universität Würzburg
    • D. Meister, Recognizing and computing minimal triangulations efficiently, Technical Report 302, Julius Maximilians Universität Würzburg, 2002.
    • (2002) Technical Report , vol.302
    • Meister, D.1
  • 68
    • 0037761694 scopus 로고    scopus 로고
    • Triangulating graphs without asteroidal triples
    • R.H. Möhring Triangulating graphs without asteroidal triples Discrete Appl. Math. 64 1996 281 287
    • (1996) Discrete Appl. Math. , vol.64 , pp. 281-287
    • Möhring, R.H.1
  • 70
    • 0034855049 scopus 로고    scopus 로고
    • A polynomial approximation algorithm for the minimum fill-in problem
    • A. Natanzon, R. Shamir, and R. Sharan A polynomial approximation algorithm for the minimum fill-in problem SIAM J. Computing 30 2000 1067 1079
    • (2000) SIAM J. Computing , vol.30 , pp. 1067-1079
    • Natanzon, A.1    Shamir, R.2    Sharan, R.3
  • 71
    • 4544362724 scopus 로고    scopus 로고
    • Complexity classification of some edge modification problems
    • A. Natanzon, R. Shamir, and R. Sharan Complexity classification of some edge modification problems Discrete Appl. Math. 113 2001 109 128
    • (2001) Discrete Appl. Math. , vol.113 , pp. 109-128
    • Natanzon, A.1    Shamir, R.2    Sharan, R.3
  • 72
    • 0001580190 scopus 로고
    • A fast algorithm for finding an optimal ordering in the vertex elimination on a graph
    • T. Ohtsuki A fast algorithm for finding an optimal ordering in the vertex elimination on a graph SIAM J. Comput. 5 1976 133 145
    • (1976) SIAM J. Comput. , vol.5 , pp. 133-145
    • Ohtsuki, T.1
  • 73
    • 0016961913 scopus 로고
    • Minimal triangulation of a graph and optimal pivoting ordering in a sparse matrix
    • T. Ohtsuki, L.K. Cheung, and T. Fujisawa Minimal triangulation of a graph and optimal pivoting ordering in a sparse matrix J. Math. Anal. Appl. 54 1976 622 633
    • (1976) J. Math. Anal. Appl. , vol.54 , pp. 622-633
    • Ohtsuki, T.1    Cheung, L.K.2    Fujisawa, T.3
  • 74
    • 0000865792 scopus 로고    scopus 로고
    • Characterizations and algorithmic applications of chordal graph embeddings
    • A. Parra, and P. Scheffler Characterizations and algorithmic applications of chordal graph embeddings Discrete Appl. Math. 79 1997 171 188
    • (1997) Discrete Appl. Math. , vol.79 , pp. 171-188
    • Parra, A.1    Scheffler, P.2
  • 75
    • 0001241033 scopus 로고
    • The use of linear graphs in Gauss elimination
    • S. Parter The use of linear graphs in Gauss elimination SIAM Rev. 3 1961 119 130
    • (1961) SIAM Rev. , vol.3 , pp. 119-130
    • Parter, S.1
  • 76
    • 0036056005 scopus 로고    scopus 로고
    • Minimal orderings revisited
    • B.W. Peyton Minimal orderings revisited SIAM J. Matrix Anal. Appl. 23 1 2001 271 294
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , Issue.1 , pp. 271-294
    • Peyton, B.W.1
  • 77
    • 0000673493 scopus 로고
    • Graph minors II. Algorithmic aspects of tree-width
    • N. Robertson, and P. Seymour Graph minors II. Algorithmic aspects of tree-width J. Algorithms 7 1986 309 322
    • (1986) J. Algorithms , vol.7 , pp. 309-322
    • Robertson, N.1    Seymour, P.2
  • 78
    • 0002892530 scopus 로고
    • A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations
    • R.C. Read Academic Press New York
    • D.J. Rose A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations R.C. Read Graph Theory and Computing 1972 Academic Press New York 183 217
    • (1972) Graph Theory and Computing , pp. 183-217
    • Rose, D.J.1
  • 79
    • 0345803292 scopus 로고
    • Algorithmic aspects of vertex elimination on graphs
    • D. Rose, R.E. Tarjan, and G. Lueker Algorithmic aspects of vertex elimination on graphs SIAM J. Comput. 5 1976 146 160
    • (1976) SIAM J. Comput. , vol.5 , pp. 146-160
    • Rose, D.1    Tarjan, R.E.2    Lueker, G.3
  • 80
    • 0021473698 scopus 로고
    • Simple linear-time algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs
    • R.E. Tarjan, and M. Yannakakis Simple linear-time algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs SIAM J. Comput. 13 1984 566 579
    • (1984) SIAM J. Comput. , vol.13 , pp. 566-579
    • Tarjan, R.E.1    Yannakakis, M.2
  • 81
    • 33344457247 scopus 로고    scopus 로고
    • Lex M versus MCS-M
    • University of Bergen, Norway
    • Y. Villanger, Lex M versus MCS-M, Technical Report, University of Bergen, Norway, 2003.
    • (2003) Technical Report
    • Villanger, Y.1
  • 83
    • 84992286317 scopus 로고
    • Edge-maximal triangulated subgraphs and heuristics for the maximum clique problem
    • J. Xue Edge-maximal triangulated subgraphs and heuristics for the maximum clique problem Networks 24 1994 109 120
    • (1994) Networks , vol.24 , pp. 109-120
    • Xue, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.