메뉴 건너뛰기




Volumn 38, Issue 2, 2001, Pages 65-86

General properties of some families of graphs defined by systems of equations

Author keywords

Bipartite double; Cover of a graph; Edge decomposition; Embedded spectra; Girth; Neighborhood complete coloring; Polarity graph; Star complete coloring

Indexed keywords


EID: 31244432447     PISSN: 03649024     EISSN: None     Source Type: Journal    
DOI: 10.1002/jgt.1024     Document Type: Article
Times cited : (59)

References (51)
  • 2
    • 0001370346 scopus 로고
    • Minimal regular graphs of girths eight and twelve
    • C. T. Benson, Minimal regular graphs of girths eight and twelve, Can J Math 18 (1966), 1091-1094.
    • (1966) Can J Math , vol.18 , pp. 1091-1094
    • Benson, C.T.1
  • 5
    • 0001714933 scopus 로고
    • On graphs that do not contain a Thomsen graph
    • W. G. Brown, On graphs that do not contain a Thomsen graph, Can Math Bull 9 (1966), 281-285.
    • (1966) Can Math Bull , vol.9 , pp. 281-285
    • Brown, W.G.1
  • 7
    • 0000230107 scopus 로고
    • On multicolor Ramsey numbers for complete bipartite graphs
    • F. R. K. Chung and R. L. Graham, On multicolor Ramsey numbers for complete bipartite graphs, J Combin Theory Ser B 18 (1975), 164-169.
    • (1975) J Combin Theory Ser B , vol.18 , pp. 164-169
    • Chung, F.R.K.1    Graham, R.L.2
  • 10
    • 51249181648 scopus 로고
    • Compactness results in extremal graph theory
    • P. Erdós and M. Simonovits, Compactness results in extremal graph theory, Combinatorica 2 (3) (1982), 275-288.
    • (1982) Combinatorica , vol.2 , Issue.3 , pp. 275-288
    • Erdós, P.1    Simonovits, M.2
  • 15
    • 51249185516 scopus 로고
    • On a class of degenerate extremal graph problems
    • R. J. Faudree and M. Simonovits, On a class of degenerate extremal graph problems, Combinatorica 3 1 (1983), 83-93.
    • (1983) Combinatorica , vol.3 , Issue.1 , pp. 83-93
    • Faudree, R.J.1    Simonovits, M.2
  • 16
    • 0011660950 scopus 로고
    • Graphs without quadrilaterals
    • Z. Füredi, Graphs without quadrilaterals, J Combin Theory Ser B 34 (1983), 187-190.
    • (1983) J Combin Theory Ser B , vol.34 , pp. 187-190
    • Füredi, Z.1
  • 18
    • 0030240864 scopus 로고    scopus 로고
    • On the number of edges of quadrilateral-free graphs
    • Z. Füredi, On the number of edges of quadrilateral-free graphs, J Combin Theory Ser B 68 (1) (1996), 1-6.
    • (1996) J Combin Theory Ser B , vol.68 , Issue.1 , pp. 1-6
    • Füredi, Z.1
  • 20
    • 0348178246 scopus 로고
    • Non-isomorphic extremal graphs without three-cycles and four-cycles
    • D. K. Garnick, and N. A. Nieuwejaar, Non-isomorphic extremal graphs without three-cycles and four-cycles, J Combin Math Combin Comput 12 (1992), 33-56.
    • (1992) J Combin Math Combin Comput , vol.12 , pp. 33-56
    • Garnick, D.K.1    Nieuwejaar, N.A.2
  • 21
  • 24
    • 38249001478 scopus 로고
    • New examples of graphs without small cycles and of large size
    • F. Lazebnik and V. A. Ustimenko, New examples of graphs without small cycles and of large size, Eur J Combinatorics 14 (1993), 445-460.
    • (1993) Eur J Combinatorics , vol.14 , pp. 445-460
    • Lazebnik, F.1    Ustimenko, V.A.2
  • 25
    • 0011514730 scopus 로고
    • Explicit construction of graphs with an arbitrary large girth and of large size
    • F. Lazebnik and V. A. Ustimenko, Explicit construction of graphs with an arbitrary large girth and of large size, Discrete Appl Math 60 (1995), 275-284.
    • (1995) Discrete Appl Math , vol.60 , pp. 275-284
    • Lazebnik, F.1    Ustimenko, V.A.2
  • 26
    • 0010952921 scopus 로고
    • New constructions of bipartite graphs on m, n vertices with many edges and without small cycles
    • F. Lazebnik, V. A. Ustimenko, and A. J. Woldar, New constructions of bipartite graphs on m, n vertices with many edges and without small cycles, J Combin Theory, Ser B, 61 (1) (1994), 111-117.
    • (1994) J Combin Theory, Ser B , vol.61 , Issue.1 , pp. 111-117
    • Lazebnik, F.1    Ustimenko, V.A.2    Woldar, A.J.3
  • 27
    • 0042512782 scopus 로고
    • Properties of certain families of 2k-cycle free graphs
    • F. Lazebnik, V. A. Ustimenko, and A. J. Woldar, Properties of certain families of 2k-cycle free graphs, J Combin Theory, Ser B, 60 (2) (1994), 293-298.
    • (1994) J Combin Theory, Ser B , vol.60 , Issue.2 , pp. 293-298
    • Lazebnik, F.1    Ustimenko, V.A.2    Woldar, A.J.3
  • 29
    • 0003060660 scopus 로고    scopus 로고
    • A characterization of the components of the graphs D(k, q)
    • F. Lazebnik, V. A. Ustimenko, and A. J. Woldar, A characterization of the components of the graphs D(k, q), Discrete Math 157 (1996), 271-283.
    • (1996) Discrete Math , vol.157 , pp. 271-283
    • Lazebnik, F.1    Ustimenko, V.A.2    Woldar, A.J.3
  • 32
    • 0031511505 scopus 로고    scopus 로고
    • On the extremal graphs of high girth
    • F. Lazebnik, and P. Wang, On the extremal graphs of high girth, J Graph Theory 26 (1997), 147-153.
    • (1997) J Graph Theory , vol.26 , pp. 147-153
    • Lazebnik, F.1    Wang, P.2
  • 33
    • 33751307845 scopus 로고    scopus 로고
    • General properties of some families of algebraically defined graphs
    • University of Delaware
    • F. Lazebnik, and A. J. Woldar, General properties of some families of algebraically defined graphs, Research Report, University of Delaware, 1999.
    • (1999) Research Report
    • Lazebnik, F.1    Woldar, A.J.2
  • 36
    • 0024045909 scopus 로고
    • Explicit group-theoretical construction of combinatorial schemes and their application to design of expanders and concentrators
    • G. A. Margulis, Explicit group-theoretical construction of combinatorial schemes and their application to design of expanders and concentrators, J Probl Inform Transmission, 24 (1988), 39-46
    • (1988) J Probl Inform Transmission , vol.24 , pp. 39-46
    • Margulis, G.A.1
  • 39
    • 84962990405 scopus 로고
    • Regular graphs with given girth and restricted circuits
    • H. Sachs, Regular graphs with given girth and restricted circuits, J London Math Society 38 (1963), 423-429.
    • (1963) J London Math Society , vol.38 , pp. 423-429
    • Sachs, H.1
  • 42
    • 0016219515 scopus 로고
    • Computing the characteristic polynomial of a graph, Graphs and Combinatorics
    • R. A. Bari and F. Harary, (Editors), Springer, Berlin
    • A. J. Schwenk, Computing the characteristic polynomial of a graph, Graphs and Combinatorics, Proceedings and at George Washington Univ, 1973, Lecture Notes in Math 406, R. A. Bari and F. Harary, (Editors), Springer, Berlin, 1974.
    • (1974) Proceedings and at George Washington Univ, 1973, Lecture Notes in Math 406
    • Schwenk, A.J.1
  • 43
    • 0000626606 scopus 로고
    • Extremal Graph Theory
    • L. W. Beineke and R. J. Wilson (Editors), Academic Press, London
    • M. Simonovits, Extremal Graph Theory, Selected Topics in Graph Theory 2, L. W. Beineke and R. J. Wilson (Editors), Academic Press, London, 1983, 161-200.
    • (1983) Selected Topics in Graph Theory , vol.2 , pp. 161-200
    • Simonovits, M.1
  • 44
    • 33751311926 scopus 로고
    • On some properties of geometries of the Chevalley groups and their generalizations
    • I. A. Faradzev, A. A. Ivanov, M. H. Klin, and A. J. Woldar (Editors) Kluwer Acad. Publ, Dordrecht
    • V. A. Ustimenko, On some properties of geometries of the Chevalley groups and their generalizations, in: Investigation in Algebraic Theory of Combinatorial Objects, I. A. Faradzev, A. A. Ivanov, M. H. Klin, and A. J. Woldar (Editors) Kluwer Acad. Publ, Dordrecht, (1991), 112-121.
    • (1991) Investigation in Algebraic Theory of Combinatorial Objects , pp. 112-121
    • Ustimenko, V.A.1
  • 45
    • 10044246668 scopus 로고    scopus 로고
    • Coordinatiation of trees and their quotients
    • Kiev Institute of Mathematics
    • V. A. Ustimenko, Coordinatiation of trees and their quotients, in Voronoj's Impaction Modern Science, Kiev Institute of Mathematics 1998, Vol. 2, 125-152.
    • (1998) Voronoj's Impaction Modern Science , vol.2 , pp. 125-152
    • Ustimenko, V.A.1
  • 47
    • 33751318388 scopus 로고
    • Properties of regular graphs of given girth and minimum order
    • H. Walther, Properties of regular graphs of given girth and minimum order, Wiss. Z. Ilmenau 11 (1965), 167-168.
    • (1965) Wiss. Z. Ilmenau , vol.11 , pp. 167-168
    • Walther, H.1
  • 48
    • 0011631851 scopus 로고
    • On regular graphs of given girth and minimum order
    • H. Walther, On regular graphs of given girth and minimum order, Wiss Z Techn Hochsch Ilmenau 11 (1965), 93-96.
    • (1965) Wiss Z Techn Hochsch Ilmenau , vol.11 , pp. 93-96
    • Walther, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.