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Volumn 3353, Issue , 2004, Pages 1-19

Lexicographic breadth first search - A survey

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMICS; CHORDAL GRAPHS; FREE GRAPHS; GRAPH SEARCHING; LEXICOGRAPHIC BREADTH FIRST SEARCH; PAPER SURVEYS; AT-FREE;

EID: 33744955846     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-30559-0_1     Document Type: Article
Times cited : (50)

References (45)
  • 2
    • 0041858125 scopus 로고    scopus 로고
    • Separability generalizes Dirac's theorem
    • A. Berry and J-P. Bordat: Separability generalizes Dirac's theorem, Disc. Appl. Math. 84 (1998) 43-53.
    • (1998) Disc. Appl. Math. , vol.84 , pp. 43-53
    • Berry, A.1    Bordat, J.-P.2
  • 3
    • 0017216776 scopus 로고
    • Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-tree algorithms
    • K.S. Booth and G.S. Lueker: Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-tree algorithms, J. Comput. System Sci. 13 (1976) 335-379.
    • (1976) J. Comput. System Sci. , vol.13 , pp. 335-379
    • Booth, K.S.1    Lueker, G.S.2
  • 4
    • 24944525179 scopus 로고    scopus 로고
    • On linear and circular structure of a (claw,net)-free graph
    • A. Brandstädt and F.F. Dragan: On linear and circular structure of a (claw,net)-free graph, Disc. Appl. Math. 129 (2003) 285-303.
    • (2003) Disc. Appl. Math. , vol.129 , pp. 285-303
    • Brandstädt, A.1    Dragan, F.F.2
  • 5
    • 0039967622 scopus 로고    scopus 로고
    • LexBFS-orderings and powers of chordal graphs
    • A. Brandstädt, F.F. Dragan and F. Nicolai: LexBFS-orderings and powers of chordal graphs, Disc. Math. 171 (1997) 27-42.
    • (1997) Disc. Math. , vol.171 , pp. 27-42
    • Brandstädt, A.1    Dragan, F.F.2    Nicolai, F.3
  • 8
    • 0344823719 scopus 로고    scopus 로고
    • A simple linear time LexBFS cograph recognition algorithm (extended abstract)
    • A. Bretscher, D.G. Corneil, M. Habib and C. Paul: A simple linear time LexBFS cograph recognition algorithm (extended abstract), LNCS 2880 (2003) 119-130.
    • (2003) LNCS , vol.2880 , pp. 119-130
    • Bretscher, A.1    Corneil, D.G.2    Habib, M.3    Paul, C.4
  • 9
    • 84958039986 scopus 로고    scopus 로고
    • LexBFS-ordering in Asteroidal Triple-free graphs
    • J-M. Chang, C-W. Ho and M-T. Ko: LexBFS-ordering in Asteroidal Triple-free graphs, LNCS 1741 (1999) 163-172.
    • (1999) LNCS , vol.1741 , pp. 163-172
    • Chang, J.-M.1    Ho, C.-W.2    Ko, M.-T.3
  • 10
    • 0242266906 scopus 로고    scopus 로고
    • Barnacle: An assembly algorithm for clone-based sequences of whole genomes
    • V. Choi and M. Farach-Colton: Barnacle: an assembly algorithm for clone-based sequences of whole genomes, Gene 320 (2003) 165-176.
    • (2003) Gene , vol.320 , pp. 165-176
    • Choi, V.1    Farach-Colton, M.2
  • 11
    • 1642601796 scopus 로고    scopus 로고
    • A simple 3-sweep LBFS algorithm for the recognition of unit interval graphs
    • D.G. Corneil, A simple 3-sweep LBFS algorithm for the recognition of unit interval graphs: Disc. Appl. Math. 138 (2004) 371-379.
    • (2004) Disc. Appl. Math. , vol.138 , pp. 371-379
    • Corneil, D.G.1
  • 12
  • 13
    • 2142721011 scopus 로고    scopus 로고
    • On the power of BFS to determine a graph's diameter
    • D.G. Corneil, F.F. Dragan and E. Koehler: On the power of BFS to determine a graph's diameter, Networks 42 (2003) 209-222.
    • (2003) Networks , vol.42 , pp. 209-222
    • Corneil, D.G.1    Dragan, F.F.2    Koehler, E.3
  • 17
    • 0032273496 scopus 로고    scopus 로고
    • The LBFS structure and recognition of interval graphs, under revision; extended abstract appeared as the ultimate interval graph recognition algorithm? (extended abstract)
    • D.G. Cornell, S. Olariu, and L. Stewart: The LBFS structure and recognition of interval graphs, under revision; extended abstract appeared as The ultimate interval graph recognition algorithm? (extended abstract) in Proc. SODA 98, Ninth Annual ACM-SIAM Symposium on Discrete Algorithms (1998) 175-180.
    • (1998) Proc. SODA 98, Ninth Annual ACM-SIAM Symposium on Discrete Algorithms , pp. 175-180
    • Cornell, D.G.1    Olariu, S.2    Stewart, L.3
  • 18
    • 0032690142 scopus 로고    scopus 로고
    • Linear time algorithms for dominating pairs in asteroidal triple-free graphs
    • D.G. Corneil, S. Olariu, and L. Stewart: Linear time algorithms for dominating pairs in asteroidal triple-free graphs, SIAM J. Comput. 28 (1999) 1284-1297.
    • (1999) SIAM J. Comput. , vol.28 , pp. 1284-1297
    • Corneil, D.G.1    Olariu, S.2    Stewart, L.3
  • 19
    • 0043280974 scopus 로고    scopus 로고
    • Almost diameter of a house-hole-free graph in linear time via LexBFS
    • F.F. Dragan: Almost diameter of a house-hole-free graph in linear time via LexBFS, Disc. Appl. Math. 95 (1999) 223-239.
    • (1999) Disc. Appl. Math. , vol.95 , pp. 223-239
    • Dragan, F.F.1
  • 20
    • 84945283144 scopus 로고    scopus 로고
    • Estimating all pairs shortest paths in restricted graph families: A unified approach (extended abstract)
    • F.F. Dragan: Estimating all pairs shortest paths in restricted graph families: a unified approach (extended abstract), LNCS 2204 (2001) 103-116.
    • (2001) LNCS , vol.2204 , pp. 103-116
    • Dragan, F.F.1
  • 21
    • 11744363515 scopus 로고
    • Schriftenreihe des Fachbereichs Mathematik der Universität Duisburg, Duisburg, Germany, SM-DU-303
    • F.F. Dragan and F. Nicolai: Lex-BFS-orderings of distance-hereditary graphs, Schriftenreihe des Fachbereichs Mathematik der Universität Duisburg, Duisburg, Germany, SM-DU-303 (1995).
    • (1995) Lex-BFS-orderings of Distance-hereditary Graphs
    • Dragan, F.F.1    Nicolai, F.2
  • 22
    • 84896692984 scopus 로고    scopus 로고
    • LexBFS-orderings and powers of graphs
    • F.F. Dragan, F. Nicolai, and A. Brandstädt: LexBFS-orderings and powers of graphs, LNCS 1197 (1997) 166-180.
    • (1997) LNCS , vol.1197 , pp. 166-180
    • Dragan, F.F.1    Nicolai, F.2    Brandstädt, A.3
  • 23
    • 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
  • 24
    • 0002482188 scopus 로고    scopus 로고
    • Lex-bfs and partition refinement, with applications to transitive orientation, interval graph recognition and consecutive ones testing
    • M. Habib, R. McConnell, C. Paul and L. Viennot: Lex-bfs and partition refinement, with applications to transitive orientation, interval graph recognition and consecutive ones testing, Theoret. Comput. Sci. 234 (2000) 59-84.
    • (2000) Theoret. Comput. Sci. , vol.234 , pp. 59-84
    • Habib, M.1    McConnell, R.2    Paul, C.3    Viennot, L.4
  • 25
    • 23844546945 scopus 로고    scopus 로고
    • Certifying LexBFS recognition algorithms for proper interval graphs and proper interval bigraphs
    • to appear
    • P. Hell and J. Huang: Certifying LexBFS recognition algorithms for proper interval graphs and proper interval bigraphs, to appear SIAM J. Disc. Math. (2004).
    • (2004) SIAM J. Disc. Math.
    • Hell, P.1    Huang, J.2
  • 28
    • 0000148891 scopus 로고
    • Domination on cocomparability graphs
    • D. Kratsch and L. Stewart: Domination on cocomparability graphs, SIAM J. Disc. Math. 6 (1993) 400-417.
    • (1993) SIAM J. Disc. Math. , vol.6 , pp. 400-417
    • Kratsch, D.1    Stewart, L.2
  • 29
    • 0024610616 scopus 로고
    • An incremental linear-time algorithm for recognizing interval graphs
    • N. Korte and R.H. Möhring: An incremental linear-time algorithm for recognizing interval graphs, SIAM J. Comput. 18 (1989) 68-81.
    • (1989) SIAM J. Comput. , vol.18 , pp. 68-81
    • Korte, N.1    Möhring, R.H.2
  • 30
    • 35048830735 scopus 로고    scopus 로고
    • Private communications
    • J-M. Lanlignel: Private communications, 1999.
    • (1999)
    • Lanlignel, J.-M.1
  • 31
    • 38249002493 scopus 로고
    • Optimal greedy algorithms for indifference graphs
    • P.J. Looges and S. Olariu: Optimal greedy algorithms for indifference graphs, Computers Math. Applic. 25 (1993) 15-25.
    • (1993) Computers Math. Applic. , vol.25 , pp. 15-25
    • Looges, P.J.1    Olariu, S.2
  • 32
    • 35048833152 scopus 로고    scopus 로고
    • unpublished manuscript
    • T. Ma: unpublished manuscript.
    • Ma, T.1
  • 34
    • 1642642513 scopus 로고    scopus 로고
    • Recognizing and computing minimal triangulations efficiently
    • Fakultät für Mathematik und Informatik, Universität Würzburg
    • D. Meister: Recognizing and computing minimal triangulations efficiently, Technical Report 302, Fakultät für Mathematik und Informatik, Universität Würzburg, 2002.
    • (2002) Technical Report 302 , vol.302
    • Meister, D.1
  • 36
    • 0025791186 scopus 로고
    • An optimal greedy heuristic to color interval graphs
    • S. Olariu: An optimal greedy heuristic to color interval graphs, Inform. Process. Lett. 37 (1991) 65-80.
    • (1991) Inform. Process. Lett. , vol.37 , pp. 65-80
    • Olariu, S.1
  • 37
    • 0023994885 scopus 로고
    • A uniform approach to domination problems on interval graphs
    • G. Ramalingam and C. Pandu Rangan: A uniform approach to domination problems on interval graphs, Inform. Process. Lett., 27 (1988) 271-274.
    • (1988) Inform. Process. Lett. , vol.27 , pp. 271-274
    • Ramalingam, G.1    Pandu Rangan, C.2
  • 38
    • 0042668942 scopus 로고
    • On powers of interval and unit interval graphs
    • A. Raychaudhuri: On powers of interval and unit interval graphs, Congr. Numer. 59 (1987) 235-242.
    • (1987) Congr. Numer. , vol.59 , pp. 235-242
    • Raychaudhuri, A.1
  • 39
    • 0002930970 scopus 로고
    • Indifference graphs
    • F. Harary, ed., Academic Press, New York
    • F.S. Roberts: Indifference graphs, in: F. Harary, ed., Proof Techniques in Graph Theory, Academic Press, New York, 1969 139-146.
    • (1969) Proof Techniques in Graph Theory , pp. 139-146
    • Roberts, F.S.1
  • 40
    • 0002099236 scopus 로고
    • On the compatibility between a graph and a simple order
    • F.S. Roberts: On the compatibility between a graph and a simple order, J. Combin. Theory Ser. B 11 (1971) 28-38.
    • (1971) J. Combin. Theory Ser. B , vol.11 , pp. 28-38
    • Roberts, F.S.1
  • 41
    • 0001790593 scopus 로고
    • Depth first search and linear graph algorithms
    • R.E. Tarjan: Depth first search and linear graph algorithms, SIAM J. Comput. 1 (1972) 146-160.
    • (1972) SIAM J. Comput. , vol.1 , pp. 146-160
    • Tarjan, R.E.1
  • 42
    • 0001580189 scopus 로고
    • Algorithmic aspects of vertex elimination on graphs
    • D.J. Rose, R.E. Tarjan, and G.S. Lueker: Algorithmic aspects of vertex elimination on graphs, SIAM J. Comput. 5 (1976) 266-283.
    • (1976) SIAM J. Comput. , vol.5 , pp. 266-283
    • Rose, D.J.1    Tarjan, R.E.2    Lueker, G.S.3
  • 43
    • 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
  • 44
    • 85030626438 scopus 로고
    • A new simple linear algorithm to recognize interval graphs
    • K. Simon: A new simple linear algorithm to recognize interval graphs, LNCS 553 (1992) 289-308.
    • (1992) LNCS , vol.553 , pp. 289-308
    • Simon, K.1
  • 45
    • 0008762825 scopus 로고
    • Ph.D. thesis, Universität Göttigen, Germany
    • n, Ph.D. thesis, Universität Göttigen, Germany, 1967.
    • (1967) n
    • Wegner, G.1


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