Some results on semi-total signed graphs

نویسندگان

  • Pravin Garg
  • Deepa Sinha
چکیده

A signed graph (or sigraph in short) is an ordered pair S = (Su, σ), where Su is a graph G = (V,E), called the underlying graph of S and σ : E → {+,−} is a function from the edge set E of Su 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 Su by assigning to each edge ef of L(Su), 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.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 31  شماره 

صفحات  -

تاریخ انتشار 2011