TITLE

SOME RESULTS ON SEMI-TOTAL SIGNED GRAPHS

AUTHOR(S)
SINHA, DEEPA; GARG, PRAVIN
PUB. DATE
November 2011
SOURCE
Discussiones Mathematicae: Graph Theory;2011, Vol. 31 Issue 4, p625
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A signed graph (or sigraph in short) is an ordered pair S = (Suδ), where Su is a graph G = (V,E), called the underlying graph of S and δ : E → {+,-} is a function from the edge set E of Suinto the set {+,-}, called the signature of S. The x-line sigraph of S denoted by L x (S) is a sigraph defined on the line graph L(Su) of the graph Suby assigning to each edge of L(Su), the product of signs of the adjacent edge ∈ 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.
ACCESSION #
66787065

 

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