Some results on semi-total signed graphs

Sinha, Deepa ; Garg, Pravin

Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 4, pp. 625-638.

Résumé

A signed graph (or sigraph in short) is an ordered pair S = (S^u,σ), where S^u is a graph G = (V,E), called the underlying graph of S and σ:E → +, - is a function from the edge set E of S^u into the set +,-, called the signature of S. The ×-line sigraph of S denoted by L_×(S) is a sigraph defined on the line graph L(S^u) of the graph S^u by assigning to each edge ef of L(S^u), the product of signs of the adjacent edges e and f in S. In this paper, first we define semi-total line sigraph and semi-total point sigraph of a given sigraph and then characterize balance and consistency of semi-total line sigraph and semi-total point sigraph.

Détail

Keywords: sigraph, semi-total line sigraph, semi-total point sigraph, balanced sigraph, consistent sigraph

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