Geodesic
On a~graph isomorphic to its intersection graph: self-graphoidal graphs
Algebra and discrete mathematics, Tome 26 (2018) no. 2, pp. 247-255

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A graph $G$ is called a graphoidal graph if there exists a graph $H$ and a graphoidal cover $\psi$ of $H$ such that $G\cong\Omega(H,\psi)$. Then the graph $G$ is said to be self-graphoidal if it is isomorphic to one of its graphoidal graphs. In this paper, we have examined the existence of a few self-graphoidal graphs from path length sequence of a graphoidal cover and obtained new results on self-graphoidal graphs.
Keywords: graphoidal cover, graphoidal covering number, self-graphoidal graph.
Mots-clés : graphoidal graph 
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     author = {P. K. Das and K. R. Singh},
     title = {On a~graph isomorphic to its intersection graph: self-graphoidal graphs},
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P. K. Das; K. R. Singh. On a~graph isomorphic to its intersection graph: self-graphoidal graphs. Algebra and discrete mathematics, Tome 26 (2018) no. 2, pp. 247-255. http://geodesic.mathdoc.fr/item/ADM_2018_26_2_a3/