메뉴 건너뛰기




Volumn 52, Issue 1-3, 1998, Pages 63-90

Group Actions, Double Cosets, and Homomorphisms: Unifying Concepts for the Constructive Theory of Discrete Structures

Author keywords

Codes; Constructive combinatorics; Designs; Graphs; Group actions; Solvable groups

Indexed keywords


EID: 0012063085     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1005998722658     Document Type: Article
Times cited : (14)

References (22)
  • 2
    • 5244287637 scopus 로고
    • Constructive enumeration of combinatorial objects, Colloques internationaux C.N.R.S. No. 260
    • C.N.R.S., Paris
    • Faradžev, I. A.: Constructive enumeration of combinatorial objects, Colloques internationaux C.N.R.S. No. 260 - Problèmes combinatoires et théorie des graphes, C.N.R.S., Paris, 1978, 131-135.
    • (1978) Problèmes Combinatoires et Théorie des Graphes , pp. 131-135
    • Faradžev, I.A.1
  • 3
    • 0002409906 scopus 로고
    • Cellular rings and groups of automorphisms of graphs
    • I. A. Faradžev, A. A. Ivanov, M. H. Klin and A. J. Woldar (eds), Kluwer Academic Publ., Dordrecht
    • Faradžev, I. A., Klin, M. H. and Muzichuk, M. E.: Cellular rings and groups of automorphisms of graphs, in: I. A. Faradžev, A. A. Ivanov, M. H. Klin and A. J. Woldar (eds), Investigations in Algebraic Theory of Combinatorial Objects, Kluwer Academic Publ., Dordrecht, 1994, pp. 1-152.
    • (1994) Investigations in Algebraic Theory of Combinatorial Objects , pp. 1-152
    • Faradžev, I.A.1    Klin, M.H.2    Muzichuk, M.E.3
  • 5
    • 0002194535 scopus 로고
    • MOLGEN, ein Computeralgebra-System für die Konstruktion molekularer Graphen
    • Grund, R., Kerber, A. and Laue, R.: MOLGEN, ein Computeralgebra-System für die Konstruktion molekularer Graphen, Comm. Math. Chem. 27 (1992), 87-131.
    • (1992) Comm. Math. Chem. , vol.27 , pp. 87-131
    • Grund, R.1    Kerber, A.2    Laue, R.3
  • 6
    • 84940484704 scopus 로고
    • On groups of automorphisms
    • Hall, P.: On groups of automorphisms, J. Reine Angew. Math. 182 (1940), 194-204.
    • (1940) J. Reine Angew. Math. , vol.182 , pp. 194-204
    • Hall, P.1
  • 7
    • 25344434722 scopus 로고
    • Teubner-Texte zur Mathematik 101, B. G. Teubner Verlagsgesellschaft, Leipzig
    • Kalužnin, L. A., Beleckij, P. M. and Fejnberg, V. Z.: Kranzprodukte, Teubner-Texte zur Mathematik 101, B. G. Teubner Verlagsgesellschaft, Leipzig, 1987.
    • (1987) Kranzprodukte
    • Kalužnin, L.A.1    Beleckij, P.M.2    Fejnberg, V.Z.3
  • 8
    • 25944475449 scopus 로고
    • On certain maximal subgroups of symmetric and alternating groups
    • Kalužnin, L. A. and Klin, M. H.: On certain maximal subgroups of symmetric and alternating groups, Math. USSR Sbornik 16(1) (1972), 95-123.
    • (1972) Math. USSR Sbornik , vol.16 , Issue.1 , pp. 95-123
    • Kalužnin, L.A.1    Klin, M.H.2
  • 10
    • 0020206310 scopus 로고
    • Application of electronic computers in the theory of substitution groups and its applications
    • Kalužnin, L. A., Suščanskij, V I. and Ustimenko, V. A.: Application of electronic computers in the theory of substitution groups and its applications, Cybernetics 18(6) (1983), 804-819.
    • (1983) Cybernetics , vol.18 , Issue.6 , pp. 804-819
    • Kalužnin, L.A.1    Suščanskij, V.I.2    Ustimenko, V.A.3
  • 12
    • 2342523139 scopus 로고
    • On the number of graphs for which a given permutation group is the automorphism group
    • Klin, M. H.: On the number of graphs for which a given permutation group is the automorphism group, Kibernetika 6 (1970), 131-137.
    • (1970) Kibernetika , vol.6 , pp. 131-137
    • Klin, M.H.1
  • 13
    • 0038575550 scopus 로고
    • T-designs on hypergraphs
    • Kramer, E. S. and Mesner, D. M.: t-designs on hypergraphs, Discrete Math. 15 (1976), 263-296.
    • (1976) Discrete Math. , vol.15 , pp. 263-296
    • Kramer, E.S.1    Mesner, D.M.2
  • 14
    • 0000898450 scopus 로고
    • Eine konstruktive Version des Lemmas von Burnside
    • Laue, R.: Eine konstruktive Version des Lemmas von Burnside, Bayreuther Math. Schr. 28 (1989), 111-125.
    • (1989) Bayreuther Math. Schr. , vol.28 , pp. 111-125
    • Laue, R.1
  • 15
    • 0002583607 scopus 로고
    • Construction of combinatorial objects - A tutorial
    • Laue, R.: Construction of combinatorial objects - A tutorial, Bayreuther Math. Schr. 43 (1993), 53-96.
    • (1993) Bayreuther Math. Schr. , vol.43 , pp. 53-96
    • Laue, R.1
  • 17
    • 0001453807 scopus 로고
    • Every one a winner
    • Read, R. C.: Every one a winner, Ann. Discrete Math. 2 (1978), 107-120.
    • (1978) Ann. Discrete Math. , vol.2 , pp. 107-120
    • Read, R.C.1
  • 18
    • 85025192644 scopus 로고
    • The graph isomorphism disease
    • Read, R. C. and Corneil, D. C.: 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.C.2
  • 19
    • 0000994936 scopus 로고
    • Doppelnebenklassen als Klassenbegriff und Nomenklaturprinzip für Isomere und ihre Abzählung
    • Ruch, E., Hässelbarth, W. and Richter, B.: Doppelnebenklassen als Klassenbegriff und Nomenklaturprinzip für Isomere und ihre Abzählung, Theor. Chim. Acta (Berlin) 19 (1970), 288-300.
    • (1970) Theor. Chim. Acta (Berlin) , vol.19 , pp. 288-300
    • Ruch, E.1    Hässelbarth, W.2    Richter, B.3
  • 20
    • 84986440299 scopus 로고
    • The t-designs with prescribed automorphism group, new simple 6-designs
    • Schmalz, B.: The t-designs with prescribed automorphism group, new simple 6-designs, J. Combin. Designs 1 (1993), 125-170.
    • (1993) J. Combin. Designs , vol.1 , pp. 125-170
    • Schmalz, B.1
  • 21
    • 2342485809 scopus 로고
    • Some further theory of group codes
    • I. F. Blake (ed.), (Benchmark papers in electrical engineering and computer science), Dowden, Hutchinson & Ross Inc., Stroudsburg
    • Slepian, D.: Some further theory of group codes, in: I. F. Blake (ed.), Algebraic Coding Theory: History and Development (Benchmark papers in electrical engineering and computer science), Dowden, Hutchinson & Ross Inc., Stroudsburg, 1973, pp. 118-151.
    • (1973) Algebraic Coding Theory: History and Development , pp. 118-151
    • Slepian, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.