The Journal of the Indian Mathematical Society

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A Remark on Dot-Compositions of Graphs


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1 Department of Mathematics, Liberec, Czechoslovakia, Czech Republic
     

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If G and H are graphs with the property that the identification of any vertex of G with an arbitrary vertex of H results in a unique graph (up to isomorphism), then we write G.H for the thus obtained graph. This definition is in [2], p. 23. The graph G.H is called the dot-composition of G and H, the graphs G and H are called dot-components of this graph.
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  • A Remark on Dot-Compositions of Graphs

Abstract Views: 243  |  PDF Views: 0

Authors

Bohdan Zelinka
Department of Mathematics, Liberec, Czechoslovakia, Czech Republic

Abstract


If G and H are graphs with the property that the identification of any vertex of G with an arbitrary vertex of H results in a unique graph (up to isomorphism), then we write G.H for the thus obtained graph. This definition is in [2], p. 23. The graph G.H is called the dot-composition of G and H, the graphs G and H are called dot-components of this graph.