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Volumn 32, Issue 7, 1999, Pages 1273-1283

Optimal quadratic-time isomorphism of ordered graphs

Author keywords

Graph coding; Graph isomorphism; Ordered graph; Polynomial algorithm

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; EDGE DETECTION; ENCODING (SYMBOLS); GRAPH THEORY;

EID: 0033165432     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-3203(98)00145-9     Document Type: Article
Times cited : (44)

References (30)
  • 1
    • 0004225467 scopus 로고
    • North-Holland, Amsterdam
    • [1] C. Berge, Graphs. North-Holland, Amsterdam, 1985.
    • (1985) Graphs
    • Berge, C.1
  • 4
    • 0003780715 scopus 로고
    • Addison-Wesley, Reading MA
    • [4] F. Harary, Graph Theory, Addison-Wesley, Reading MA, 1972.
    • (1972) Graph Theory
    • Harary, F.1
  • 5
    • 0003646960 scopus 로고
    • American Mathematical Society, Providence, RI
    • [5] O. Ore, Theory of Graphs, American Mathematical Society, Providence, RI, 1962.
    • (1962) Theory of Graphs
    • Ore, O.1
  • 6
    • 0025545074 scopus 로고
    • Object recognition based on characteristic view classes
    • [6] R. Wang, H. Freeman, Object recognition based on characteristic view classes, Proc. Int. Conf. on Pattern Recognition, vol. I, 1990, pp. 8-12.
    • (1990) Proc. Int. Conf. on Pattern Recognition , vol.1 , pp. 8-12
    • Wang, R.1    Freeman, H.2
  • 7
    • 0039990171 scopus 로고
    • From characteristic views to canonical views
    • V. Cantoni et al. (Eds.), World Scientific , Singapore
    • [7] R. Wang, H. Freeman, From characteristic views to canonical views, In: V. Cantoni et al. (Eds.), Progress in Image Analysis and Processing, World Scientific, Singapore, 1992, pp. 400-413.
    • (1992) Progress in Image Analysis and Processing , pp. 400-413
    • Wang, R.1    Freeman, H.2
  • 8
    • 0003092659 scopus 로고
    • Further annotated bibliography on the isomorphism disease
    • [8] G. Gati, Further annotated bibliography on the isomorphism disease, J. Graph Theory 3 (1979) 95-109.
    • (1979) J. Graph Theory , vol.3 , pp. 95-109
    • Gati, G.1
  • 9
    • 85025192644 scopus 로고
    • The graph isomorphism disease
    • [9] R.C. Read, D.G. Corneil, The graph isomorphism disease, J. Graph Theory 1 (1977) 339-363.
    • (1977) J. Graph Theory , vol.1 , pp. 339-363
    • Read, R.C.1    Corneil, D.G.2
  • 10
    • 0024128620 scopus 로고
    • Graph isomorphism is in the low hierarchy
    • [10] U. Schöning, Graph isomorphism is in the low hierarchy, J. Comput. System Sci. 37 (1988) 312-323.
    • (1988) J. Comput. System Sci. , vol.37 , pp. 312-323
    • Schöning, U.1
  • 11
    • 0020166327 scopus 로고
    • Isomorphism of graphs of bounded valence can be tested in polynomial time
    • [11] E.M. Luks, Isomorphism of graphs of bounded valence can be tested in polynomial time, J. Comput. System Sci 25 (1982) 42-65.
    • (1982) J. Comput. System Sci , vol.25 , pp. 42-65
    • Luks, E.M.1
  • 12
    • 0000199365 scopus 로고
    • A Vlog V algorithm for isomorphism of triconnected planar graphs
    • [12] J.E. Hopcroft, R.E. Tarjan, A Vlog V algorithm for isomorphism of triconnected planar graphs, J. Comput. System Sci. 7 (1973) 323-331.
    • (1973) J. Comput. System Sci. , vol.7 , pp. 323-331
    • Hopcroft, J.E.1    Tarjan, R.E.2
  • 14
    • 84937076473 scopus 로고
    • A simple and efficient algorithm for determining isomorphism of planar triply connected graphs
    • [14] L. Weinberg, A simple and efficient algorithm for determining isomorphism of planar triply connected graphs, IEEE Trans. Circuit Theory, 13 (2) (1966) 142-148.
    • (1966) IEEE Trans. Circuit Theory , vol.13 , Issue.2 , pp. 142-148
    • Weinberg, L.1
  • 16
    • 0018455831 scopus 로고
    • A linear-time algorithm for deciding interval graph isomorphism
    • [16] K.S. Booth, G.S. Lueker, A linear-time algorithm for deciding interval graph isomorphism, JACM 26 (1979) 183-195.
    • (1979) JACM , vol.26 , pp. 183-195
    • Booth, K.S.1    Lueker, G.S.2
  • 17
    • 0019535534 scopus 로고
    • On testing isomorphism of permutation graphs
    • [17] G.J. Colbourn, On testing isomorphism of permutation graphs, Networks 11 (1981) 13-21.
    • (1981) Networks , vol.11 , pp. 13-21
    • Colbourn, G.J.1
  • 18
    • 0029228783 scopus 로고
    • Isomorphism of chordal (6, 3) graphs
    • [18] L. Babel, Isomorphism of chordal (6, 3) graphs, Computing, 54(1995)303-316.
    • (1995) Computing , vol.54 , pp. 303-316
    • Babel, L.1
  • 20
    • 0001078822 scopus 로고
    • Polynomial algorithms for graph isomorphism and chromatic index on partial k-tress
    • [20] H.L. Bodlaender, Polynomial algorithms for graph isomorphism and chromatic index on partial k-tress, J. Algorithms, 11 (1990) 631-643.
    • (1990) J. Algorithms , vol.11 , pp. 631-643
    • Bodlaender, H.L.1
  • 21
    • 85051462782 scopus 로고
    • Isomorphism of graphs with bounded eigenvalue multiplicity
    • [21] L. Babai et al., Isomorphism of graphs with bounded eigenvalue multiplicity, Proc. 14th ACM Symp. on Theory of Computing, 1982, pp. 310-324.
    • (1982) Proc. 14th ACM Symp. on Theory of Computing , pp. 310-324
    • Babai, L.1
  • 22
    • 0005255830 scopus 로고    scopus 로고
    • The isomorphism problem for directed path graphs and for rooted directed path graphs
    • [22] L. Babel et al., The isomorphism problem for directed path graphs and for rooted directed path graphs, J. Algorithms 21 (1996) 542-564.
    • (1996) J. Algorithms , vol.21 , pp. 542-564
    • Babel, L.1
  • 23
  • 25
    • 0016870630 scopus 로고
    • An algorithm for subgraph isomorphism
    • [25] J.R. Ullmann, An algorithm for subgraph isomorphism, J. Assoc. Comput. Mach. 23 (1) (1976) 31-42.
    • (1976) J. Assoc. Comput. Mach. , vol.23 , Issue.1 , pp. 31-42
    • Ullmann, J.R.1
  • 28
    • 0021491949 scopus 로고
    • Entropy and distance of random graphs with application to structural pattern recognition
    • [28] A.K.C. Wong, M.L. You, Entropy and distance of random graphs with application to structural pattern recognition, IEEE Trans. Pattern Anal. Mach. Intell. 7(5) (1985) 599-609.
    • (1985) IEEE Trans. Pattern Anal. Mach. Intell. , vol.7 , Issue.5 , pp. 599-609
    • Wong, A.K.C.1    You, M.L.2
  • 30
    • 0028413974 scopus 로고
    • An algorithm for optimal isomorphism between two random graphs
    • [30] D.S. Seong et al., An algorithm for optimal isomorphism between two random graphs, Pattern Recognition Lett. 15 (1994) 321-327.
    • (1994) Pattern Recognition Lett. , vol.15 , pp. 321-327
    • Seong, D.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.