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Volumn 12, Issue 1, 1999, Pages 119-135

Convexity and HHD-free graphs

Author keywords

Antimatroid; Chordal graphs; Convex geometry; Convexity; Dominating clique problem; HHD free graphs; Lexicographic breadth first search; Semisimplicial ordering; Weak bipolarizable graphs

Indexed keywords


EID: 0042482676     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480195321718     Document Type: Article
Times cited : (64)

References (28)
  • 1
    • 0041593632 scopus 로고    scopus 로고
    • Perfect elimination orderings of chordal powers of graphs
    • A. BRANDSTÄDT, V.D. CHEPOI, AND F.F. DRAGAN, Perfect elimination orderings of chordal powers of graphs, Discrete Math., 158 (1996), pp. 273-278.
    • (1996) Discrete Math. , vol.158 , pp. 273-278
    • Brandstädt, A.1    Chepoi, V.D.2    Dragan, F.F.3
  • 2
    • 0023435077 scopus 로고
    • Domination problems on permutation and other graphs
    • A. BRANDSTÄDT AND D. KRATSCH, Domination problems on permutation and other graphs, Theoret. Comput. Sci., 54 (1987), pp. 181-198.
    • (1987) Theoret. Comput. Sci. , vol.54 , pp. 181-198
    • Brandstädt, A.1    Kratsch, D.2
  • 3
    • 0000431068 scopus 로고
    • The k-domination and k-stability problems on sun-free chordal graphs
    • G.J. CHANG AND G.L. NEMHAUSER, The k-domination and k-stability problems on sun-free chordal graphs, SIAM J. Algebraic Discrete Meth., 5 (1984), pp. 332-345.
    • (1984) SIAM J. Algebraic Discrete Meth. , vol.5 , pp. 332-345
    • Chang, G.J.1    Nemhauser, G.L.2
  • 4
    • 4444253679 scopus 로고
    • Ph.D. dissertation, Moldova State University, Kishinev, Russian
    • V.D. CHEPOI, d-Convex Sets in Graphs, Ph.D. dissertation, Moldova State University, Kishinev, 1986 (Russian).
    • (1986) D-Convex Sets in Graphs
    • Chepoi, V.D.1
  • 5
    • 0041913767 scopus 로고
    • Centers of triangulated graphs
    • Russian, English transl.
    • V.D. CHEPOI, Centers of triangulated graphs, Math. Notes, 43 (1988), pp. 143-151 (Russian, English transl.).
    • (1988) Math. Notes , vol.43 , pp. 143-151
    • Chepoi, V.D.1
  • 6
    • 84970948747 scopus 로고
    • Linear-time algorithm for finding a central vertex of a chordal graph
    • Algorithms - ESA'94, 2nd Annual European Symposium, Utrecht, The Netherlands, 1994 Jan van Leeuwen, ed., Springer, Berlin, New York
    • V.D. CHEPOI AND F.F. DRAGAN, Linear-time algorithm for finding a central vertex of a chordal graph, Algorithms - ESA'94, 2nd Annual European Symposium, Utrecht, The Netherlands, 1994 Lecture Notes in Comput. Sci. 855, Jan van Leeuwen, ed., Springer, Berlin, New York, 1994, pp. 159-170.
    • (1994) Lecture Notes in Comput. Sci. , vol.855 , pp. 159-170
    • Chepoi, V.D.1    Dragan, F.F.2
  • 8
    • 0347622807 scopus 로고
    • Dominating cliques in distance-hereditary graphs
    • Algorithm Theory - SWAT'94, 4th Scandinavian Workshop on Algorithm Theory, Aarhus, Denmark, 1994, Erik M. Schmidt and Sven Skyum, eds., Springer, Berlin, New York
    • F.F. DRAGAN, Dominating cliques in distance-hereditary graphs, Algorithm Theory - SWAT'94, 4th Scandinavian Workshop on Algorithm Theory, Aarhus, Denmark, 1994, Lecture Notes in Comput. Sci. 824, Erik M. Schmidt and Sven Skyum, eds., Springer, Berlin, New York, 1994, pp. 370-381.
    • (1994) Lecture Notes in Comput. Sci. , vol.824 , pp. 370-381
    • Dragan, F.F.1
  • 9
    • 0042041677 scopus 로고    scopus 로고
    • R-dominating cliques in graphs with hypertree structure
    • F.F. DRAGAN AND A. BRANDSTÄDT, r-dominating cliques in graphs with hypertree structure, Discrete Math., 162 (1996), pp. 93-108.
    • (1996) Discrete Math. , vol.162 , pp. 93-108
    • Dragan, F.F.1    Brandstädt, A.2
  • 10
    • 0040600623 scopus 로고    scopus 로고
    • R-domination problems on homogeneously orderable graphs
    • F.F. DRAGAN AND F. NICOLAI, r-domination problems on homogeneously orderable graphs, Networks, 30 (1997), pp. 121-131.
    • (1997) Networks , vol.30 , pp. 121-131
    • Dragan, F.F.1    Nicolai, F.2
  • 12
    • 0011324714 scopus 로고
    • Convex sets in graphs II: Minimal path convexity
    • P. DUCHET, Convex sets in graphs II: Minimal path convexity, J. Combin. Theory Ser. B, 44 (1988), pp. 307-316.
    • (1988) J. Combin. Theory Ser. B , vol.44 , pp. 307-316
    • Duchet, P.1
  • 13
    • 84986490361 scopus 로고
    • Ensemble convexes dans les graphes I
    • P. DUCHET AND H. MEYNIEL, Ensemble convexes dans les graphes I, European J. Combin., 4 (1983), pp. 127-132.
    • (1983) European J. Combin. , vol.4 , pp. 127-132
    • Duchet, P.1    Meyniel, H.2
  • 14
    • 38249033141 scopus 로고
    • Bridged graphs and geodesic convexity
    • M. FARDER, Bridged graphs and geodesic convexity, Discrete Math., 66 (1987), pp. 249-257.
    • (1987) Discrete Math. , vol.66 , pp. 249-257
    • Farder, M.1
  • 15
    • 38249022379 scopus 로고
    • On diameters and radii of bridged graphs
    • M. FARBER, On diameters and radii of bridged graphs, Discrete Math., 73 (1989), pp. 249-260.
    • (1989) Discrete Math. , vol.73 , pp. 249-260
    • Farber, M.1
  • 17
    • 1642360480 scopus 로고
    • On local convexity in graphs
    • M. FARBER AND R.E. JAMISON, On local convexity in graphs, Discrete Math., 66 (1987), pp. 231-247.
    • (1987) Discrete Math. , vol.66 , pp. 231-247
    • Farber, M.1    Jamison, R.E.2
  • 19
    • 0004471976 scopus 로고
    • On the semi-perfect elimination
    • B. JAMISON AND S. OLARIU, On the semi-perfect elimination, Adv. Appl. Math., 9 (1988), pp. 364-376.
    • (1988) Adv. Appl. Math. , vol.9 , pp. 364-376
    • Jamison, B.1    Olariu, S.2
  • 20
    • 0039795940 scopus 로고
    • A perspective on abstract convexity: Classifying alignment by varieties
    • D.C. Kay and M. Breen, eds., Marcel Dekker, New York
    • R.E. JAMISON, A perspective on abstract convexity: Classifying alignment by varieties, in Convexity and Related Combinatorial Geometry, D.C. Kay and M. Breen, eds., Marcel Dekker, New York, 1982.
    • (1982) Convexity and Related Combinatorial Geometry
    • Jamison, R.E.1
  • 21
    • 0004087561 scopus 로고
    • Springer-Verlag, Berlin, Heidelberg, New York
    • B. KORTE, L. LOVÁSZ, AND R. SCHRADER, Greedoids, Springer-Verlag, Berlin, Heidelberg, New York, 1991.
    • (1991) Greedoids
    • Korte, B.1    Lovász, L.2    Schrader, R.3
  • 22
    • 0003291985 scopus 로고
    • The Interval Function of a Graph
    • preprint, Math. Centrum, Amsterdam
    • H.M. MULDER, The Interval Function of a Graph, preprint, Math. Centre Tracts 132, Math. Centrum, Amsterdam, 1980.
    • (1980) Math. Centre Tracts , vol.132
    • Mulder, H.M.1
  • 23
    • 0040797607 scopus 로고
    • Weak bipolarizable graphs
    • S. OLARIU, Weak bipolarizable graphs, Discrete Math., 74 (1989), pp. 159-171.
    • (1989) Discrete Math. , vol.74 , pp. 159-171
    • Olariu, S.1
  • 24
    • 0014928358 scopus 로고
    • Triangulated graphs and the elimination process
    • D. ROSE, Triangulated graphs and the elimination process, J. Math. Anal. Appl., 32 (1970), pp. 579-609.
    • (1970) J. Math. Anal. Appl. , vol.32 , pp. 579-609
    • Rose, D.1
  • 25
    • 0001580189 scopus 로고
    • Algorithmic aspects on vertex elimination on graphs
    • D. ROSE, R.E. TARJAN, AND G. LUEKER, Algorithmic aspects on vertex elimination on graphs, SIAM J. Comput., 5 (1976), pp. 266-283.
    • (1976) SIAM J. Comput. , vol.5 , pp. 266-283
    • Rose, D.1    Tarjan, R.E.2    Lueker, G.3
  • 26
    • 0043049694 scopus 로고
    • D-convexity in graphs
    • V.P. SOLTAN, d-convexity in graphs, Soviet Math. Dokl., 28 (1983), pp. 419-421.
    • (1983) Soviet Math. Dokl. , vol.28 , pp. 419-421
    • Soltan, V.P.1
  • 27
    • 0010880560 scopus 로고
    • Conditions for invariance of set diameters under d-convexification in a graph
    • V.P. SOLTAN AND V.D. CHEPOI, Conditions for invariance of set diameters under d-convexification in a graph, Cybernetics, 19 (1983), pp. 750-756.
    • (1983) Cybernetics , vol.19 , pp. 750-756
    • Soltan, V.P.1    Chepoi, V.D.2
  • 28
    • 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., 3 (1984), pp. 566-579.
    • (1984) SIAM J. Comput. , vol.3 , pp. 566-579
    • Tarjan, R.E.1    Yannakakis, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.