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• # Artykuł - szczegóły

## Discussiones Mathematicae Graph Theory

2015 | 35 | 2 | 215-227

## On •-Line Signed Graphs L•(S)

EN

### Abstrakty

EN
A signed graph (or sigraph for 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 {+,−}. For a sigraph S its •-line sigraph, L•(S) is the sigraph in which the edges of S are represented as vertices, two of these vertices are defined adjacent whenever the corresponding edges in S have a vertex in common, any such L-edge ee′ has the sign given by the product of the signs of the edges incident with the vertex in e ∩ e′. In this paper we establish a structural characterization of •-line sigraphs, extending a well known characterization of line graphs due to Harary. Further we study several standard properties of •-line sigraphs, such as the balanced •-line sigraphs, sign-compatible •-line sigraphs and C-sign-compatible •-line sigraphs.

EN

215-227

wydano
2015-05-01
otrzymano
2013-09-25
poprawiono
2014-04-07
zaakceptowano
2014-04-09
online
2015-04-18

### Twórcy

autor
• South Asian University Akbar Bhawan, Chanakyapuri New Delhi-110 021, India
autor
• Centre for Mathematical Sciences Banasthali University Banasthali-304 022 Rajasthan, India

### Bibliografia

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