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Volumn 18, Issue , 1998, Pages 147-155

On finite graphs that are self-complementary and vertex-transitive

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EID: 0007447643     PISSN: 10344942     EISSN: 22023518     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (37)
  • 1
    • 0012134457 scopus 로고
    • Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree
    • B. Alspach, Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree, J. Combin. Theory (B) 15(1973), 12-17.
    • (1973) J. Combin. Theory (B) , vol.15 , pp. 12-17
    • Alspach, B.1
  • 2
    • 0013509184 scopus 로고    scopus 로고
    • Isomorphisms of Cayley graphs on abelian groups
    • NATO ASI Ser. C
    • B. Alspach, Isomorphisms of Cayley graphs on abelian groups, in Graph Symmetry: Algebraic Methods and Applications, NATO ASI Ser. C 497(1997), 1-23.
    • (1997) Graph Symmetry: Algebraic Methods and Applications , vol.497 , pp. 1-23
    • Alspach, B.1
  • 5
    • 0346381360 scopus 로고
    • Some lower bounds of the Ramsey numbers n(k, k)
    • J. P. Burling and S. W. Reyner, Some lower bounds of the Ramsey numbers n(k, k), J. Combin. Theory (B) 13(1972), 168-169.
    • (1972) J. Combin. Theory (B) , vol.13 , pp. 168-169
    • Burling, J.P.1    Reyner, S.W.2
  • 6
    • 0346835635 scopus 로고
    • A class of vertex-transitive digraphs
    • C. Y. Chao and J. Wells, A class of vertex-transitive digraphs, J. Gombin. Theory (B) 14(1973), 246-255.
    • (1973) J. Gombin. Theory (B) , vol.14 , pp. 246-255
    • Chao, C.Y.1    Wells, J.2
  • 7
    • 0347466346 scopus 로고
    • A class of vertex-transitive digraphs II
    • C. Y. Chao and J. Wells, A class of vertex-transitive digraphs II, J. Gombin. Theory (B) 32(1982), 336-346.
    • (1982) J. Gombin. Theory (B) , vol.32 , pp. 336-346
    • Chao, C.Y.1    Wells, J.2
  • 8
    • 0346381333 scopus 로고
    • Chromaticity of self-complementary graphs
    • C. Y. Chao and E. G. Whitehead, Chromaticity of self-complementary graphs, Arch. Math. (Basel) 32(1979), 295-304.
    • (1979) Arch. Math. (Basel) , vol.32 , pp. 295-304
    • Chao, C.Y.1    Whitehead, E.G.2
  • 9
    • 84986439184 scopus 로고
    • A class of self-complementary vertex-transitive digraphs
    • G. L. Chia and C. K. Lim, A class of self-complementary vertex-transitive digraphs, J. Graph Theory 10(1986), 241-249.
    • (1986) J. Graph Theory , vol.10 , pp. 241-249
    • Chia, G.L.1    Lim, C.K.2
  • 10
    • 0013208516 scopus 로고
    • Ramsey's theorem and self-complementary graphs
    • J V. Chvátal, P. Erdos and Z. Hedrlín, Ramsey's theorem and self-complementary graphs, Disc. Math. 3(1972), 301-304.
    • (1972) Disc. Math. , vol.3 , pp. 301-304
    • Chvátal, J.V.1    Erdos, P.2    Hedrlín, Z.3
  • 11
    • 84976003919 scopus 로고
    • An easier enumeration of self-complementary graphs
    • C. R. J. Clapham, An easier enumeration of self-complementary graphs, Proc. Edinburgh Math. Soc. (2) 27(1984), 181-183.
    • (1984) Proc. Edinburgh Math. Soc. , vol.27 , Issue.2 , pp. 181-183
    • Clapham, C.R.J.1
  • 12
    • 84994951381 scopus 로고
    • A class of self-complementary graphs and lower bounds of some Ramsey numbers
    • C. R. J. Clapham, A class of self-complementary graphs and lower bounds of some Ramsey numbers, J. Graph Theory 3(1979), 287-289.
    • (1979) J. Graph Theory , vol.3 , pp. 287-289
    • Clapham, C.R.J.1
  • 14
    • 21444444524 scopus 로고    scopus 로고
    • The existence of selfcomplementary circulant graphs
    • D. Fronček, A. Rosa and J. Širáň, The existence of selfcomplementary circulant graphs, European J. Combin. 17(1996), 625-628.
    • (1996) European J. Combin. , vol.17 , pp. 625-628
    • Fronček, D.1    Rosa, A.2    Širáň, J.3
  • 15
    • 0001599668 scopus 로고
    • On Cayley graphs isomorphisms
    • C. D. Godsil, On Cayley graphs isomorphisms, Ars Combin. 15(1983), 231-246.
    • (1983) Ars Combin. , vol.15 , pp. 231-246
    • Godsil, C.D.1
  • 16
    • 84986439495 scopus 로고
    • New lower bounds of some diagonal Ramsey numbers
    • F. Gulden and P. Tomasta, New lower bounds of some diagonal Ramsey numbers, J. Graph Theory 7(1983), 149-151.
    • (1983) J. Graph Theory , vol.7 , pp. 149-151
    • Gulden, F.1    Tomasta, P.2
  • 17
    • 0346722946 scopus 로고    scopus 로고
    • Constructions of self-complementary circulants with no multiplicative isomorphisms
    • submitted
    • R. Jajcay and C. H. Li, Constructions of self-complementary circulants with no multiplicative isomorphisms, submitted.
    • Jajcay, R.1    Li, C.H.2
  • 18
    • 0039702337 scopus 로고
    • The isomorphism problem for Cayley digraphs on groups of primesquared order
    • A. Joseph, The isomorphism problem for Cayley digraphs on groups of primesquared order, Disc. Math. 141(1995), 173-183.
    • (1995) Disc. Math. , vol.141 , pp. 173-183
    • Joseph, A.1
  • 20
    • 0001564690 scopus 로고
    • Primitive permutation groups of odd degrees
    • M. Liebeck and J. Saxl, Primitive permutation groups of odd degrees, J. London Math. Soc. (2) 31(1985), 250-264.
    • (1985) J. London Math. Soc. , vol.31 , Issue.2 , pp. 250-264
    • Liebeck, M.1    Saxl, J.2
  • 21
    • 0018292109 scopus 로고
    • On the Shannon capacity of a graph
    • L. Lovász, On the Shannon capacity of a graph, IEEE Trans. Info. Theory 25(1979), 1-7.
    • (1979) IEEE Trans. Info. Theory , vol.25 , pp. 1-7
    • Lovász, L.1
  • 22
    • 38249027685 scopus 로고
    • On selfcomplementary strongly regular graphs
    • R. Mathon, On selfcomplementary strongly regular graphs, Disc. Math. 69(1988), 263-281.
    • (1988) Disc. Math. , vol.69 , pp. 263-281
    • Mathon, R.1
  • 23
    • 0030506360 scopus 로고    scopus 로고
    • Vertex-transitive graphs that are not Cayley graphs, II
    • B. McKay and C. E. Praeger, Vertex-transitive graphs that are not Cayley graphs, II, J. Graph Theory 22(1996), 321-334.
    • (1996) J. Graph Theory , vol.22 , pp. 321-334
    • McKay, B.1    Praeger, C.E.2
  • 24
    • 33751003747 scopus 로고    scopus 로고
    • Isomorphic Cayley graphs on different groups
    • J. Morris, Isomorphic Cayley graphs on different groups, Congr. Numer. 121 (1996), 93-96.
    • (1996) Congr. Numer. , vol.121 , pp. 93-96
    • Morris, J.1
  • 25
    • 0002190572 scopus 로고
    • Vertex primitive graphs of order a product of two distinct primes
    • C. E. Praeger and M. Y. Xu, Vertex primitive graphs of order a product of two distinct primes, J. Combin. Theory (B) 59(1993),245-266.
    • (1993) J. Combin. Theory (B) , vol.59 , pp. 245-266
    • Praeger, C.E.1    Xu, M.Y.2
  • 26
    • 0013253186 scopus 로고
    • On Regular and strongly regular selfcomplementary graphs
    • S. B. Rao, On Regular and strongly regular selfcomplementary graphs, Disc. Math. 54(1985), 73-82.
    • (1985) Disc. Math. , vol.54 , pp. 73-82
    • Rao, S.B.1
  • 27
    • 49249147186 scopus 로고
    • Solution of the Hamiltonian problem for self-complementary graphs
    • S. B. Rao, Solution of the Hamiltonian problem for self-complementary graphs, J. Combin. Theory (B) 27(1979), 13-41.
    • (1979) J. Combin. Theory (B) , vol.27 , pp. 13-41
    • Rao, S.B.1
  • 28
    • 84962991633 scopus 로고
    • On the number of self-complementary graphs and digraphs
    • R. C. Read, On the number of self-complementary graphs and digraphs, J. London Math. Soc. 38(1963), 99-104.
    • (1963) J. London Math. Soc. , vol.38 , pp. 99-104
    • Read, R.C.1
  • 29
    • 84885905893 scopus 로고
    • Note on Ramsey numbers and self-complementary graphs
    • V. Rödl and E. Šiňajová, Note on Ramsey numbers and self-complementary graphs, Math. Slovaca 45(1995), 155-159.
    • (1995) Math. Slovaca , vol.45 , pp. 155-159
    • Rödl, V.1    Šiňajová, E.2
  • 30
    • 77957067281 scopus 로고
    • On a family of self-complementary graphs
    • S. Ruiz, On a family of self-complementary graphs, Ann. Disc. Math. 9(1980), 267-268.
    • (1980) Ann. Disc. Math. , vol.9 , pp. 1980
    • Ruiz, S.1
  • 31
    • 0001613706 scopus 로고
    • Über selbstcomplementare graphen
    • H. Sachs, Über selbstcomplementare graphen, Publ. Math. Debrecen 9(1962), 270-288.
    • (1962) Publ. Math. Debrecen , vol.9 , pp. 1962
    • Sachs, H.1
  • 32
    • 0022126655 scopus 로고
    • Selfcomplementary graphs
    • D. A. Suprunenko, Selfcomplementary graphs, Cybernetics 21(1985), 559-567.
    • (1985) Cybernetics , vol.21 , pp. 559-567
    • Suprunenko, D.A.1
  • 33
    • 0043144188 scopus 로고    scopus 로고
    • Coloring edges of self-complementary graphs
    • A. P. Wojda and M. Zwonek, Coloring edges of self-complementary graphs, Disc. Applied Meth. 79(1997), 279-284.
    • (1997) Disc. Applied Meth. , vol.79 , pp. 279-284
    • Wojda, A.P.1    Zwonek, M.2
  • 35
    • 0002467420 scopus 로고
    • Self-complementary vertex-transitive undirected graphs
    • B. Zelinka, Self-complementary vertex-transitive undirected graphs, Math. Slovaca 29(1979), 91-95.
    • (1979) Math. Slovaca , vol.29 , pp. 91-95
    • Zelinka, B.1
  • 36
    • 84987472516 scopus 로고
    • Self-complementary symmetric graphs
    • H. Zhang, Self-complementary symmetric graphs, J. Graph Theory 16(1992), 1-5.
    • (1992) J. Graph Theory , vol.16 , pp. 1-5
    • Zhang, H.1
  • 37
    • 0007337812 scopus 로고    scopus 로고
    • Characterization of self-complementary symmetric digraphs
    • H. Zhang, Characterization of self-complementary symmetric digraphs, Disc. Math. 161(1996), 323-327.
    • (1996) Disc. Math. , vol.161 , pp. 323-327
    • Zhang, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.