Some results on semi-total signed graphs

Deepa Sinha ; Pravin Garg

Discussiones Mathematicae Graph Theory, Tome 31 (2011), p. 625-638 / Harvested from The Polish Digital Mathematics Library

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

Publié le : 2011-01-01

Zbl 1255.05091

EUDML-ID : urn:eudml:doc:270833

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