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Volumn 38, Issue 3, 1998, Pages 432-444

Isomorphism, automorphism partitioning, and canonical labeling Can Be solved in polynomial-time for molecular graphs

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EID: 0002690545     PISSN: 00952338     EISSN: None     Source Type: Journal    
DOI: 10.1021/ci9702914     Document Type: Article
Times cited : (61)

References (34)
  • 1
    • 85025192644 scopus 로고
    • The Graph Isomorphism Disease
    • Read, R. C.; Corneil, D. G. The Graph Isomorphism Disease. J. Graph. Theory 1977, 1, 339-363.
    • (1977) J. Graph. Theory , vol.1 , pp. 339-363
    • Read, R.C.1    Corneil, D.G.2
  • 2
    • 0018456478 scopus 로고
    • Graph isomorphism, general remarks
    • Miller, G. Graph isomorphism, general remarks. J. Comput. Syst. Sci. 1979, 18, 128-142.
    • (1979) J. Comput. Syst. Sci. , vol.18 , pp. 128-142
    • Miller, G.1
  • 3
    • 0018708291 scopus 로고
    • Canonical labelling of graphs in linear average time
    • Foundations of Computer Science
    • Babai, L.; Kucera, L. Canonical labelling of graphs in linear average time. In Foundations of Computer Science, Proceedings of the 20th IEEE Symposium, 1979; pp 39-46.
    • (1979) Proceedings of the 20th IEEE Symposium , pp. 39-46
    • Babai, L.1    Kucera, L.2
  • 4
    • 0000293407 scopus 로고
    • Generation of a unique machine description for chemical structures - A technique developed at chemical abstracts services
    • Morgan, H. L. Generation of a unique machine description for chemical structures - A technique developed at chemical abstracts services. J. Chem. Doc. 1965, 5, 107-113.
    • (1965) J. Chem. Doc. , vol.5 , pp. 107-113
    • Morgan, H.L.1
  • 5
    • 0017871967 scopus 로고
    • Erroneous claims concerning the perception of topological symmetry
    • Carhart, R. E. Erroneous claims concerning the perception of topological symmetry. J. Chem. Inf. Comput. Sci. 1978, 18, 108-110.
    • (1978) J. Chem. Inf. Comput. Sci. , vol.18 , pp. 108-110
    • Carhart, R.E.1
  • 6
    • 0001239798 scopus 로고
    • Computer perception of constitutional (topological) symmetry: TOPSYM, a fast algorithm for partitioning atoms and pairwise relations among atoms into equivalent classes
    • Rücker, G.; Rücker, C. Computer perception of constitutional (topological) symmetry: TOPSYM, A fast algorithm for partitioning atoms and pairwise relations among atoms into equivalent classes. J. Chem. Inf. Comput. Sci. 1990, 30, 187-191.
    • (1990) J. Chem. Inf. Comput. Sci. , vol.30 , pp. 187-191
    • Rücker, G.1    Rücker, C.2
  • 7
    • 0026112345 scopus 로고
    • On using the adjacency matrix power method for perception of symmetry and for isomorphism testing of highly intricate graphs
    • Rücker, G.; Rücker, C. On using the adjacency matrix power method for perception of symmetry and for isomorphism testing of highly intricate graphs. J. Chem. Inf. Comput. Sci. 1991, 31, 123-126.
    • (1991) J. Chem. Inf. Comput. Sci. , vol.31 , pp. 123-126
    • Rücker, G.1    Rücker, C.2
  • 10
    • 84986520524 scopus 로고
    • The graph isomorphism problem
    • Liu, X.; Klein, D. J. The graph isomorphism problem. J. Comput. Chem. 1991, 12, 1243-1251.
    • (1991) J. Comput. Chem. , vol.12 , pp. 1243-1251
    • Liu, X.1    Klein, D.J.2
  • 12
    • 0001322615 scopus 로고    scopus 로고
    • Detection of constitutionally equivalent sites from a connection table
    • Fan, B. T.; Barbu, A.; Panaye, A.; Doucet, J.-P. Detection of constitutionally equivalent sites from a connection table. J. Chem. Inf. Comput. Sci. 1996, 36, 654-659.
    • (1996) J. Chem. Inf. Comput. Sci. , vol.36 , pp. 654-659
    • Fan, B.T.1    Barbu, A.2    Panaye, A.3    Doucet, J.-P.4
  • 13
    • 0030086839 scopus 로고
    • Computer generated reaction modelling: Decomposition and encoding algorithms for determining species uniqueness
    • Broadbelt, L. J.; Stark, S. M.; Klein, M. T. Computer generated reaction modelling: decomposition and encoding algorithms for determining species uniqueness. Comput. Chem. Eng. 1995, 20, 113-129.
    • (1995) Comput. Chem. Eng. , vol.20 , pp. 113-129
    • Broadbelt, L.J.1    Stark, S.M.2    Klein, M.T.3
  • 14
    • 0002443066 scopus 로고
    • Isomorphism of planar graphs
    • Miller, R. E., Thatcher, J. W. Ed.; Plenum: New York
    • Hopcroft, J. E.; Tarjan, R. E. Isomorphism of planar graphs. In Complexity of Computer Computation; Miller, R. E., Thatcher, J. W. Ed.; Plenum: New York, 1972; pp 131-152.
    • (1972) Complexity of Computer Computation , pp. 131-152
    • Hopcroft, J.E.1    Tarjan, R.E.2
  • 15
    • 0016425038 scopus 로고
    • On the structure of polynomial-time reducibilities
    • Ladner, R. E. On the structure of polynomial-time reducibilities. J. Assoc. Comput. Mach. 1975, 22, 155-171.
    • (1975) J. Assoc. Comput. Mach. , vol.22 , pp. 155-171
    • Ladner, R.E.1
  • 17
    • 0001078822 scopus 로고
    • Polynomial algorithms for graph isomorphism and chromatic index on partial k-trees
    • Bodlaender, H. L. Polynomial algorithms for graph isomorphism and chromatic index on partial k-trees. J. Algorithms 1990, 11, 631-643.
    • (1990) J. Algorithms , vol.11 , pp. 631-643
    • Bodlaender, H.L.1
  • 18
    • 0020166327 scopus 로고
    • Isomorphism of graphs of bounded valence can be tested in polynomial time
    • Luks, E. M. Isomorphism of graphs of bounded valence can be tested in polynomial time. J. Comput. Sys. Sci. 1982, 25, 42-65.
    • (1982) J. Comput. Sys. Sci. , vol.25 , pp. 42-65
    • Luks, E.M.1
  • 21
    • 0344349316 scopus 로고
    • A linear-time algorithm for isomorphism of graphs of bounded average genus
    • Chen, J. A linear-time algorithm for isomorphism of graphs of bounded average genus. SIAM J. Disc. Math. 1994, 7, 614-631.
    • (1994) SIAM J. Disc. Math. , vol.7 , pp. 614-631
    • Chen, J.1
  • 24
    • 0000961851 scopus 로고
    • Extended connectivity in chemical graphs
    • Razinger, M. Extended connectivity in chemical graphs. Theor. Chim. Acta 1982, 61, 581-586.
    • (1982) Theor. Chim. Acta , vol.61 , pp. 581-586
    • Razinger, M.1
  • 25
    • 0037583353 scopus 로고
    • Computer perception of topological symmetry
    • Shelley, C. A.; Munk, M. E. Computer perception of topological symmetry. J. Chem. Inf. Comput. Sci. 1977, 17, 110-113.
    • (1977) J. Chem. Inf. Comput. Sci. , vol.17 , pp. 110-113
    • Shelley, C.A.1    Munk, M.E.2
  • 26
    • 0018719203 scopus 로고
    • An approach to the assignment of canonical tables and topological symmetry perception
    • Shelley, C. A.; Munk, M. E. An approach to the assignment of canonical tables and topological symmetry perception. J. Chem. Inf. Comput. Sci. 1979, 19, 247-250.
    • (1979) J. Chem. Inf. Comput. Sci. , vol.19 , pp. 247-250
    • Shelley, C.A.1    Munk, M.E.2
  • 27
    • 0000656724 scopus 로고
    • Stereochemically unique naming algorithm
    • Wipke, W. T.; Dyott, T. M. Stereochemically unique naming algorithm. J. Am. Chem. Soc. 1974, 96, 4834-4842.
    • (1974) J. Am. Chem. Soc. , vol.96 , pp. 4834-4842
    • Wipke, W.T.1    Dyott, T.M.2
  • 28
    • 0004796375 scopus 로고
    • Topological code for molecular structures. a modified Morgan algorithm
    • Moreau, G. A. Topological code for molecular structures. A modified Morgan algorithm. Nouv. J. Chim. 1980, 4, 17-22.
    • (1980) Nouv. J. Chim. , vol.4 , pp. 17-22
    • Moreau, G.A.1
  • 29
    • 84988119549 scopus 로고
    • Unique description of chemical structures based on hierarchically ordered extended connectivities (HOC procedures). I. Algorithms for finding graph orbits and canonical numbering of atoms
    • Balaban, A. T.; Mekenyan, O. Bonchev, D. Unique description of chemical structures based on hierarchically ordered extended connectivities (HOC procedures). I. Algorithms for finding graph orbits and canonical numbering of atoms. J. Comput. Chem. 1985, 6, 538-551.
    • (1985) J. Comput. Chem. , vol.6 , pp. 538-551
    • Balaban, A.T.1    Mekenyan, O.2    Bonchev, D.3
  • 30
  • 31
    • 0042249706 scopus 로고    scopus 로고
    • Determination of topological equivalent classes of atoms and bonds in C20-C60 fullerenes using a new prolog coding program
    • Laidboeur, T.; Cabrol-Bass, D.; Ivanciuc, O. Determination of topological equivalent classes of atoms and bonds in C20-C60 fullerenes using a new prolog coding program. J. Chem. Inf. Comput. Sci. 1996, 36, 811-821.
    • (1996) J. Chem. Inf. Comput. Sci. , vol.36 , pp. 811-821
    • Laidboeur, T.1    Cabrol-Bass, D.2    Ivanciuc, O.3
  • 32
    • 85034310141 scopus 로고    scopus 로고
    • note
    • k).
  • 33
    • 0010671816 scopus 로고
    • A set of topological invaraints for graphs
    • Whitney, H. A set of topological invaraints for graphs. Am. J. Math. 1933, 55, 321-325.
    • (1933) Am. J. Math. , vol.55 , pp. 321-325
    • Whitney, H.1
  • 34
    • 0006257611 scopus 로고
    • On embedding graphs into the plane
    • Auslander, L.; Parter, S. V. On embedding graphs into the plane. J. Math. Mech. 1961, 10, 517-523.
    • (1961) J. Math. Mech. , vol.10 , pp. 517-523
    • Auslander, L.1    Parter, S.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.