Fork-decomposition of strong product of graphs

Samuel Issacraj, Paulraj Joseph

Abstract


Decomposition of arbitrary graphs into subgraphs of small size is assuming importance in the literature. There are several studies on the isomorphic decomposition of graphs into paths, cycles, trees, stars, sunlet etc. Fork is a tree obtained by subdividing any edge of a star of size three exactly once. In this paper, we investigate the necessary and sufficient for the fork-decomposition of Strong product of graphs.

Keywords


Decomposition, Fork, Product graph, Strong Product

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DOI: http://dx.doi.org/10.23755/rm.v48i0.1134

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.