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Volumn , Issue , 2013, Pages 271-280

Multi-stage design for quasipolynomial-time isomorphism testing of steiner 2-systems

Author keywords

Canonical forms; Graph isomorphism; Steiner 2 systems; Strongly regular graphs

Indexed keywords

CANONICAL FORM; COMBINATORIAL STRUCTURES; GRAPH ISOMORPHISM; ISOMORPHISM TESTING; REFINEMENT METHODS; STEINER; STRONGLY REGULAR GRAPHS; STRUCTURAL TOOLS;

EID: 84879807122     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/2488608.2488643     Document Type: Conference Paper
Times cited : (19)

References (25)
  • 1
    • 0003584156 scopus 로고
    • Monte-carlo algorithms in graph isomorphism testing
    • L. Babai. Monte-Carlo algorithms in graph isomorphism testing. Université de Montréal Technical Report, pages 79-10, 1979.
    • (1979) Université de Montréal Technical Report , pp. 10-79
    • Babai, L.1
  • 2
    • 0345064820 scopus 로고
    • On the complexity of canonical labeling of strongly regular graphs
    • L. Babai. On the complexity of canonical labeling of strongly regular graphs. SIAM Journal on Computing, 9(1):212-216, 1980.
    • (1980) SIAM Journal on Computing , vol.9 , Issue.1 , pp. 212-216
    • Babai, L.1
  • 4
    • 0000438362 scopus 로고
    • On the order of uniprimitive permutation groups
    • L. Babai. On the order of uniprimitive permutation groups. Annals of Mathematics, 113(3):553-568, 1981.
    • (1981) Annals of Mathematics , vol.113 , Issue.3 , pp. 553-568
    • Babai, L.1
  • 6
    • 85051462782 scopus 로고
    • Isomorphism of graphs with bounded eigenvalue multiplicity
    • L. Babai, D.Y. Grigoryev, and D.M. Mount. Isomorphism of graphs with bounded eigenvalue multiplicity. In STOC, pages 310-324, 1982.
    • (1982) STOC , pp. 310-324
    • Babai, L.1    Grigoryev, D.Y.2    Mount, D.M.3
  • 7
    • 0018708291 scopus 로고
    • Canonical labelling of graphs in linear average time
    • L. Babai and L. Kücera. Canonical labelling of graphs in linear average time. In FOCS, pages 39-46, 1979.
    • (1979) FOCS , pp. 39-46
    • Babai, L.1    Kücera, L.2
  • 8
    • 0020918135 scopus 로고
    • Canonical labeling of graphs
    • L. Babai and E.M. Luks. Canonical labeling of graphs. In STOC, pages 171-183, 1983.
    • (1983) STOC , pp. 171-183
    • Babai, L.1    Luks, E.M.2
  • 10
    • 84879813038 scopus 로고    scopus 로고
    • Quasipolynomial-time canonical form for steiner designs
    • L. Babai and J. Wilmes. Quasipolynomial-time canonical form for Steiner designs. In STOC, 2013.
    • (2013) STOC
    • Babai, L.1    Wilmes, J.2
  • 11
    • 84972549301 scopus 로고
    • Strongly regular graphs, partial geometries and partially balanced designs
    • R.C. Bose. Strongly regular graphs, partial geometries and partially balanced designs. Pacific Journal of Mathematics, 13(2):389-419, 1963.
    • (1963) Pacific Journal of Mathematics , vol.13 , Issue.2 , pp. 389-419
    • Bose, R.C.1
  • 12
    • 0000409564 scopus 로고
    • An optimal lower bound on the number of variables for graph identifications
    • J. Cai, M. Fürer, and N. Immerman. An optimal lower bound on the number of variables for graph identifications. Combinatorica, 12(4):389-410, 1992.
    • (1992) Combinatorica , vol.12 , Issue.4 , pp. 389-410
    • Cai, J.1    Fürer, M.2    Immerman, N.3
  • 14
    • 84944076363 scopus 로고
    • A polynomial-time algorithm for determining the isomorphism of graphs of fixed genus
    • I.S. Filotti and J.N. Mayer. A polynomial-time algorithm for determining the isomorphism of graphs of fixed genus. In STOC, pages 236-243, 1980.
    • (1980) STOC , pp. 236-243
    • Filotti, I.S.1    Mayer, J.N.2
  • 15
    • 85043304363 scopus 로고
    • Linear time algorithm for isomorphism of planar graphs
    • J.E. Hopcroft and J.K. Wong. Linear time algorithm for isomorphism of planar graphs. In STOC, pages 172-184, 1974.
    • (1974) STOC , pp. 172-184
    • Hopcroft, J.E.1    Wong, J.K.2
  • 17
    • 84879827975 scopus 로고
    • Isomorphism for graphs embeddable on the projective plane
    • D. Lichtenstein. Isomorphism for graphs embeddable on the projective plane. In STOC, pages 218-224, 1980.
    • (1980) STOC , pp. 218-224
    • Lichtenstein, D.1
  • 18
    • 0020166327 scopus 로고
    • Isomorphism of graphs of bounded valence can be tested in polynomial time
    • E.M. Luks. Isomorphism of graphs of bounded valence can be tested in polynomial time. Journal of Computer and System Sciences, 25(1):42-65, 1982.
    • (1982) Journal of Computer and System Sciences , vol.25 , Issue.1 , pp. 42-65
    • Luks, E.M.1
  • 19
    • 85023100812 scopus 로고
    • On the nlog n isomorphism technique
    • G.L. Miller. On the nlog n isomorphism technique. In STOC, pages 51-58, 1978.
    • (1978) STOC , pp. 51-58
    • Miller, G.L.1
  • 20
    • 84944064995 scopus 로고
    • Isomorphism testing for graphs of bounded genus
    • G.L. Miller. Isomorphism testing for graphs of bounded genus. In STOC, pages 225-235, 1980.
    • (1980) STOC , pp. 225-235
    • Miller, G.L.1
  • 21
    • 0026368038 scopus 로고
    • Parallel tree contraction, part 2: Further applications
    • G.L. Miller and J.H. Reif. Parallel tree contraction, Part 2: Further applications. SIAM Journal on Computing, 20(6):1128-1147, 1991.
    • (1991) SIAM Journal on Computing , vol.20 , Issue.6 , pp. 1128-1147
    • Miller, G.L.1    Reif, J.H.2
  • 22
    • 0042160391 scopus 로고
    • Strongly regular graphs with smallest eigenvalue - m
    • A. Neumaier. Strongly regular graphs with smallest eigenvalue - m. Archiv der Mathematik, 33:392-400, 1979.
    • (1979) Archiv Der Mathematik , vol.33 , pp. 392-400
    • Neumaier, A.1
  • 23
  • 24
    • 0029702181 scopus 로고    scopus 로고
    • Faster isomorphism testing of strongly regular graphs
    • D.A. Spielman. Faster isomorphism testing of strongly regular graphs. In STOC, pages 576-584, 1996.
    • (1996) STOC , pp. 576-584
    • Spielman, D.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.