A Remark on Dot-Compositions of Graphs


Affiliations

  • Department of Mathematics, Liberec, 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.

Subject Discipline

Mathematical Sciences

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References

B. DEVADAS ACHARYA: A research problem. Graph Theory Newsletter 2(1973), . No. 3, p. 6.

F. HARARY: Graph Theory. Addison-Wesey Publishing Company, 1969.

O. ORF: Theory of Graphs. Providence 1962.


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