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Volumn 88, Issue 2, 2003, Pages 347-367

Crossing-number critical graphs have bounded path-width

Author keywords

Crossing number; Crossing critical graph; Graph embedding; Path width

Indexed keywords


EID: 0037673584     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0095-8956(03)00037-6     Document Type: Article
Times cited : (39)

References (17)
  • 1
    • 77956962627 scopus 로고
    • Crossing-free subgraphs
    • North-Holland Mathematics Studies North-Holland, Amsterdam, New York
    • M. Ajtai, V. Chvátal, M.M. Newborn, E. Szemerédi, Crossing-free subgraphs, Theory and Practice of Combinatorics, North-Holland Mathematics Studies, Vol. 60, North-Holland, Amsterdam, New York, 1982, pp. 9-12.
    • (1982) Theory and Practice of Combinatorics , vol.60 , pp. 9-12
    • Ajtai, M.1    Chvátal, V.2    Newborn, M.M.3    Szemerédi, E.4
  • 5
    • 0021412333 scopus 로고
    • A frame for solving VLSI graph layout problems
    • S.N. Bhatt, F.T. Leighton, A frame for solving VLSI graph layout problems, J. Comput. Systems Sci. 28 (1984) 300-343.
    • (1984) J. Comput. Systems Sci. , vol.28 , pp. 300-343
    • Bhatt, S.N.1    Leighton, F.T.2
  • 6
    • 0004061989 scopus 로고    scopus 로고
    • Graph Drawing: Algorithms for the Visualization of Graphs
    • Prentice-Hall, Englewood Cliffs, NJ
    • G. Di Battista, P. Eades, R. Tamassia, I.G. Tollis, Graph Drawing: Algorithms for the Visualization of Graphs, Prentice-Hall, Englewood Cliffs, NJ, 1999.
    • (1999)
    • Di Battista, G.1    Eades, P.2    Tamassia, R.3    Tollis, I.G.4
  • 9
    • 24244453582 scopus 로고    scopus 로고
    • Embedding grids on surfaces
    • manuscript
    • J. Geelen, B. Richter, G. Salazar, Embedding grids on surfaces, manuscript, 2000.
    • (2000)
    • Geelen, J.1    Richter, B.2    Salazar, G.3
  • 10
    • 84867473536 scopus 로고    scopus 로고
    • Crossing-Critical Graphs and Path-width
    • Graph Drawing 9th Symposium GD 2001, Vienna, Austria, September 2001 Vol. 2265, Springer, Berlin
    • P. Hliněný, Crossing-Critical Graphs and Path-width, in: Graph Drawing, 9th Symposium GD 2001, Vienna, Austria, September 2001; Lecture Notes in Computer Science, Vol. 2265, Springer, Berlin, 2002, pp. 102-114.
    • (2002) Lecture Notes in Computer Science , pp. 102-114
    • Hliněný, P.1
  • 11
    • 38249035104 scopus 로고
    • Construction of crossing-critical graphs
    • M. Kochol, Construction of crossing-critical graphs, Discrete Math. 66 (1987) 311-313.
    • (1987) Discrete Math. , vol.66 , pp. 311-313
    • Kochol, M.1
  • 12
    • 0031455815 scopus 로고    scopus 로고
    • Graphs drawn with few crossings per edge
    • J. Pach, G. Tóth, Graphs drawn with few crossings per edge, Combinatorica 17 (1997) 427-439.
    • (1997) Combinatorica , vol.17 , pp. 427-439
    • Pach, J.1    Tóth, G.2
  • 13
    • 0032313607 scopus 로고    scopus 로고
    • Which crossing number is it, anyway?
    • Proceedings of the 39th Foundations of Computer Science (1998) IEEE Press, New York
    • J. Pach, G. Tóth, Which crossing number is it, anyway?, Proceedings of the 39th Foundations of Computer Science (1998), IEEE Press, New York, 1999, pp. 617-626.
    • (1999) , pp. 617-626
    • Pach, J.1    Tóth, G.2
  • 15
    • 0037693100 scopus 로고
    • Minimal graphs with crossing number at least k
    • B. Richter, C. Thomassen, Minimal graphs with crossing number at least k, J. Combin. Theory Ser. B 58 (1993) 217-224.
    • (1993) J. Combin. Theory Ser. B , vol.58 , pp. 217-224
    • Richter, B.1    Thomassen, C.2
  • 17
    • 0002156092 scopus 로고
    • Toward a theory of crossing numbers
    • W.T. Tutte, Toward a theory of crossing numbers, J. Combin. Theory 8 (1970) 45-53.
    • (1970) J. Combin. Theory , vol.8 , pp. 45-53
    • Tutte, W.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.