On the genus of products of graphs

  • Arthur T. White
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 186)


Bipartite Graph Betti Number Graphical Product Complete Bipartite Graph Arbitrary Graph 
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  1. 1.
    J. Battle, F. Harary, Y. Kodama, and J.W.T. Youngs, Additivity of the Genus of a Graph, Bull. Amer. Math. Soc. 68 (1962), 565–568.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    M. Behzad and S.E. Mahmoodian, On Topological Invariants of the Product of Graphs, Canad. Math. Bull. 12 (1969), 157–166.MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    R. Duke, The Genus, Regional Number, and Betti Number of a Graph, Can. J. Math. 18 (1966), 817–822.MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    F. Harary, On the Group of the Composition of Two Graphs, Duke Math. J. 26 (1959), 29–34.MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    G. Ringel, Das Geschlecht des Vollständigen Paaren Graphen, Abh. Math. Sem. Univ. Hamburg 28 (1965), 139–150.MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    G. Ringel and J.W.T. Youngs, Das Geschlecht des Symmetrische Vollständige Drei-Farbaren Graphen, Comment. Math. Helv. (to appear).Google Scholar
  7. 7.
    G. Sabidussi, Graph Multiplication, Math. Z. 72 (1960), 446–457.MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    G. Sabidussi, The Lexicographic Product of Graphs, Duke Math. J. 28 (1961), 575–578.MathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    P. Wiechsel, The Kronecker Product of Graphs, Proc. Amer. Math. Soc. 13 (1962), 47–52.MathSciNetCrossRefGoogle Scholar
  10. 10.
    A.T. White, The Genus of Repeated Cartesian Products of Bipartite Graphs, Trans. Amer. Math. Soc. (to appear).Google Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • Arthur T. White
    • 1
  1. 1.Western Michigan UniversityKalamazoo

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