메뉴 건너뛰기




Volumn 3, Issue 2, 2010, Pages 100-124

Graph extremities defined by search algorithms

Author keywords

Graph extremity; Graph search; LexBFS; MCS; MLS

Indexed keywords


EID: 79953761178     PISSN: None     EISSN: 19994893     Source Type: Journal    
DOI: 10.3390/a3020100     Document Type: Article
Times cited : (25)

References (22)
  • 2
    • 0002215434 scopus 로고
    • Representation of a finite graph by a set of intervals on real line
    • Lekkerkerker, C.; Boland, J. Representation of a finite graph by a set of intervals on real line. Fund. Math. 1962, 51, 45-64.
    • (1962) Fund. Math. , vol.51 , pp. 45-64
    • Lekkerkerker, C.1    Boland, J.2
  • 3
    • 84972514233 scopus 로고
    • Incidence matrixes and interval graphs
    • Fulkerson, D.R.; Gross, O.A. Incidence matrixes and interval graphs. Pac. J. Math. 1965, 15, 835-855.
    • (1965) Pac. J. Math. , vol.15 , pp. 835-855
    • Fulkerson, D.R.1    Gross, O.A.2
  • 4
    • 0345803292 scopus 로고
    • Algorithmic aspects of vertex elimination on graphs
    • Rose, D.; Tarjan, R.E.; Lueker, G. Algorithmic aspects of vertex elimination on graphs. SIAM J. Comput. 1976, 5, 146-160.
    • (1976) SIAM J. Comput. , vol.5 , pp. 146-160
    • Rose, D.1    Tarjan, R.E.2    Lueker, G.3
  • 5
    • 0021473698 scopus 로고
    • Simple linear-time algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs
    • Tarjan, R.E.; Yannakakis, M. Simple linear-time algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs. SIAM J. Comput. 1984, 13, 566-579.
    • (1984) SIAM J. Comput. , vol.13 , pp. 566-579
    • Tarjan, R.E.1    Yannakakis, M.2
  • 6
    • 84947945430 scopus 로고
    • On domination elimination orderings and domination graphs
    • Herrsching, Germany, June
    • Dahlhaus, E; Hammer, P.L.; Maffray, F.; Olariu, S. On domination elimination orderings and domination graphs. In Proceedings of WG'94, Herrsching, Germany, June 1994; pp. 81-92.
    • (1994) Proceedings of WG'94 , pp. 81-92
    • Dahlhaus, E.1    Hammer, P.L.2    Maffray, F.3    Olariu, S.4
  • 8
    • 0032690142 scopus 로고    scopus 로고
    • Linear time algorithms for dominating pairs in asteroidal triple-free graphs
    • Corneil, D.G.; Olariu, S; Stewart, L. Linear time algorithms for dominating pairs in asteroidal triple-free graphs. SIAM J. Comput. 1999, 28, 1284-1297.
    • (1999) SIAM J. Comput. , vol.28 , pp. 1284-1297
    • Corneil, D.G.1    Olariu, S.2    Stewart, L.3
  • 9
    • 0039967622 scopus 로고    scopus 로고
    • LexBFS-orderings and powers of chordal graphs
    • Brandstdt, A.; Dragan, F.F.; Nicolai, F. LexBFS-orderings and powers of chordal graphs. Discrete Math. 1997, 171, 27-42.
    • (1997) Discrete Math , vol.171 , pp. 27-42
    • Brandstdt, A.1    Dragan, F.F.2    Nicolai, F.3
  • 10
    • 0344323964 scopus 로고    scopus 로고
    • LexBFS-orderings of distance-hereditary graphs with application to the diametral pair problem
    • Dragan, F.F.; Nicolai, F. LexBFS-orderings of distance-hereditary graphs with application to the diametral pair problem. Discrete Appl. Math.2000, 98, 191-207.
    • (2000) Discrete Appl. Math , vol.98 , pp. 191-207
    • Dragan, F.F.1    Nicolai, F.2
  • 11
    • 70350128917 scopus 로고    scopus 로고
    • A unified view of graph searching
    • Corneil, D.; Krueger, R. A unified view of graph searching. SIAM J. Disc. Math. 2008, 22, 1259-1276.
    • (2008) SIAM J. Disc. Math. , vol.22 , pp. 1259-1276
    • Corneil, D.1    Krueger, R.2
  • 12
    • 77952603944 scopus 로고    scopus 로고
    • Maximal label search algorithms to compute perfect and minimal elimination orderings
    • Berry, A.; Krueger, R.; Simonet, G. Maximal label search algorithms to compute perfect and minimal elimination orderings. SIAM J. Discrete Math. 2009, 23, 428-446.
    • (2009) SIAM J. Discrete Math. , vol.23 , pp. 428-446
    • Berry, A.1    Krueger, R.2    Simonet, G.3
  • 13
    • 0041858125 scopus 로고    scopus 로고
    • Separability generalizes Dirac's theorem
    • Berry, A.; Bordat, J.P. Separability generalizes Dirac's theorem. Discrete Appl. Math. 1998, 84, 43-53.
    • (1998) Discrete Appl. Math. , vol.84 , pp. 43-53
    • Berry, A.1    Bordat, J.P.2
  • 14
    • 0001891186 scopus 로고
    • An introduction to chordal graphs and clique trees
    • George J. A., Gilbert J. R., Liu W. H., Eds; Springer Verlag: Berlin, Germany
    • Blair, J.R.S.; Peyton, B.W. An introduction to chordal graphs and clique trees. In Graph Theory and Sparse Matrix Computations; George J.A., Gilbert J.R., Liu W.H., Eds; Springer Verlag: Berlin, Germany, 1993; Volume 56, pp. 1-30.
    • (1993) Graph Theory and Sparse Matrix Computations , vol.56 , pp. 1-30
    • Blair, J.R.S.1    Peyton, B.W.2
  • 15
    • 0016961913 scopus 로고
    • Minimal triangulation of a graph and optimal pivoting ordering in a sparse matrix
    • Ohtsuki, T.; Cheung, L.K.; Fujisawa, T. Minimal triangulation of a graph and optimal pivoting ordering in a sparse matrix. J. Math. Anal. Appl. 1976, 54, 622-633.
    • (1976) J. Math. Anal. Appl. , vol.54 , pp. 622-633
    • Ohtsuki, T.1    Cheung, L.K.2    Fujisawa, T.3
  • 16
    • 21044444304 scopus 로고    scopus 로고
    • Maximum Cardinality Search for computing minimal triangulations of graphs
    • Berry, A.; Blair, J.R.S.; Heggernes, P.; Peyton, B. Maximum Cardinality Search for computing minimal triangulations of graphs. Algorithmica 2004, 39, 287-298.
    • (2004) Algorithmica , vol.39 , pp. 287-298
    • Berry, A.1    Blair, J.R.S.2    Heggernes, P.3    Peyton, B.4
  • 17
    • 84859643158 scopus 로고    scopus 로고
    • Proceedings of First Cologne-Twente Workshop on Graphs and Combinatorial Optimization, Cologne, Germany, June
    • Berry, A.; Bordat, J.P. Moplex elimination orderings. In Proceedings of First Cologne-Twente Workshop on Graphs and Combinatorial Optimization, Cologne, Germany, June 2001; Volume 8.
    • (2001) Moplex elimination orderings , pp. 8
    • Berry, A.1    Bordat, J.P.2
  • 18
    • 1842495874 scopus 로고    scopus 로고
    • Recognizing weakly chordal graphs by edge separability
    • Berry, A.; Bordat, J.P.; Heggernes P. Recognizing weakly chordal graphs by edge separability. Nordic J. Comput. 2000, 7, 164-177.
    • (2000) Nordic J. Comput. , vol.7 , pp. 164-177
    • Berry, A.1    Bordat, J.P.2    Heggernes, P.3
  • 19
    • 28444487909 scopus 로고    scopus 로고
    • A wide-range algorithm for minimal triangulation from an arbitrary ordering
    • Berry, A.; Bordat, J.P.; Heggernes, P.; Simonet G.; Villanger, Y. A wide-range algorithm for minimal triangulation from an arbitrary ordering. J. Algorithm 2006, 58, 33-66.
    • (2006) J. Algorithm , vol.58 , pp. 33-66
    • Berry, A.1    Bordat, J.P.2    Heggernes, P.3    Simonet, G.4    Villanger, Y.5
  • 21
    • 0014928358 scopus 로고
    • Triangulated graphs and the elimination process
    • Rose, D. Triangulated graphs and the elimination process. J. Math. Anal. Appl. 1970, 32, 597-609
    • (1970) J. Math. Anal. Appl. , vol.32 , pp. 597-609
    • Rose, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.