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Volumn 12, Issue 1, 1999, Pages 6-26

A linear time algorithm for embedding graphs in an arbitrary surface

Author keywords

Algorithm; Forbidden minor; Forbidden subgraph; Graph embedding; Obstruction; Surface embedding

Indexed keywords


EID: 0041372793     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S089548019529248X     Document Type: Article
Times cited : (148)

References (21)
  • 1
    • 0000629168 scopus 로고
    • A Kuratowski theorem for the projective plane
    • D. ARCHDEACON, A Kuratowski theorem for the projective plane, J. Graph Theory, 5 (1981), pp. 243-246.
    • (1981) J. Graph Theory , vol.5 , pp. 243-246
    • Archdeacon, D.1
  • 2
    • 26644475336 scopus 로고
    • The complexity of the graph embedding problem
    • R. Bodendiek and R. Henn, eds., Physica-Verlag, Heidelberg
    • D. ARCHDEACON, The complexity of the graph embedding problem, in Topics in Combinatorics and Graph Theory, R. Bodendiek and R. Henn, eds., Physica-Verlag, Heidelberg, 1990, pp. 59-64.
    • (1990) Topics in Combinatorics and Graph Theory , pp. 59-64
    • Archdeacon, D.1
  • 3
    • 38249021894 scopus 로고
    • A Kuratowski theorem for nonorientable surfaces
    • D. ARCHDEACON AND P. HUNEKE, A Kuratowski theorem for nonorientable surfaces, J. Combin. Theory Ser. B, 46 (1989), pp. 173-231.
    • (1989) J. Combin. Theory Ser. B , vol.46 , pp. 173-231
    • Archdeacon, D.1    Huneke, P.2
  • 6
    • 0017216776 scopus 로고
    • Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-trees
    • K. S. BOOTH AND G. S. LUEKER, Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-trees, J. Comput. System Sci., 13 (1976), pp. 335-379.
    • (1976) J. Comput. System Sci. , vol.13 , pp. 335-379
    • Booth, K.S.1    Lueker, G.S.2
  • 7
    • 0022010454 scopus 로고
    • A linear algorithm for embedding planar graphs using PQ-trees
    • N. CHIBA, T. NISHIZEKI, S. ABE, AND T. OZAWA, A linear algorithm for embedding planar graphs using PQ-trees, J. Comput. System Sci., 30 (1985), pp. 54-76.
    • (1985) J. Comput. System Sci. , vol.30 , pp. 54-76
    • Chiba, N.1    Nishizeki, T.2    Abe, S.3    Ozawa, T.4
  • 8
    • 0015852657 scopus 로고
    • Time bounded random access machines
    • S. A. COOK AND R. A. RECKHOW, Time bounded random access machines, J. Comput. Syst. Sci., 7 (1976), pp. 354-375.
    • (1976) J. Comput. Syst. Sci. , vol.7 , pp. 354-375
    • Cook, S.A.1    Reckhow, R.A.2
  • 9
    • 85031917762 scopus 로고
    • An efficient algorithm for the genus problem with explicit construction of forbidden subgraphs
    • New Orleans, LA, May
    • H. DJIDJEV AND J. H. REIF, An efficient algorithm for the genus problem with explicit construction of forbidden subgraphs, in 23rd Annual ACM Symposium on Theory of Computing, New Orleans, LA, May 1991, pp. 337-347.
    • (1991) 23rd Annual ACM Symposium on Theory of Computing , pp. 337-347
    • Djidjev, H.1    Reif, J.H.2
  • 11
    • 0342912623 scopus 로고
    • A depth-first search characterization of planarity
    • H. DE FRAYSSEIX AND P. ROSENSTIEHL, A depth-first search characterization of planarity, Ann. Discrete Math., 13 (1982), pp. 75-80.
    • (1982) Ann. Discrete Math. , vol.13 , pp. 75-80
    • De Fraysseix, H.1    Rosenstiehl, P.2
  • 13
    • 0000133557 scopus 로고
    • 103 graphs that are irreducible for the projective plane
    • H. GLOVER, J. P. HUNEKE, AND C. S. WANG, 103 graphs that are irreducible for the projective plane, J. Combin. Theory Ser. B, 27 (1979), pp. 332-370.
    • (1979) J. Combin. Theory Ser. B , vol.27 , pp. 332-370
    • Glover, H.1    Huneke, J.P.2    Wang, C.S.3
  • 15
    • 0001243769 scopus 로고
    • Dividing a graph into triconnected components
    • J. E. HOPCROFT AND R. E. TARJAN, Dividing a graph into triconnected components, SIAM J. Comput., 2 (1973), pp. 135-158.
    • (1973) SIAM J. Comput. , vol.2 , pp. 135-158
    • Hopcroft, J.E.1    Tarjan, R.E.2
  • 21
    • 26644444893 scopus 로고
    • Classification and detection of obstructions to planarity
    • A. KARABEG, Classification and detection of obstructions to planarity, Linear and Multilinear Algebra, 26 (1990), pp. 15-38.
    • (1990) Linear and Multilinear Algebra , vol.26 , pp. 15-38
    • Karabeg, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.