Some Studies on Dominating Sets and Restrained Dominating Sets - Sudhakaraiah, Anupalli;Gnana Deepika, E.
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In general an undirected graph is an interval graph (IG), if the vertex set V can be put into one-to-one correspondence with a set of intervals on the real line , such that two vertices are adjacent in G if and only if their corresponding intervals have non-empty intersection. The set I is called an interval representation of G and G is referred to as the intersection graph Let be any interval family where, each is an interval on the real line and , for . Here is called the left end point labeling and is the right end point labeling of . Circular - arc graphs are introduced as generalization…mehr

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Produktbeschreibung
In general an undirected graph is an interval graph (IG), if the vertex set V can be put into one-to-one correspondence with a set of intervals on the real line , such that two vertices are adjacent in G if and only if their corresponding intervals have non-empty intersection. The set I is called an interval representation of G and G is referred to as the intersection graph Let be any interval family where, each is an interval on the real line and , for . Here is called the left end point labeling and is the right end point labeling of . Circular - arc graphs are introduced as generalization of Interval graphs. If we bend the real line into a circle, then any family of intervals of the real line is transformed into a family of arcs of the circle. Therefore, every interval graph is a circular - arc graph. But, the converse need not be true. However both these classes of graphs have received considerable attention in the literature in recent years and have been studied extensively.A circular - arc graph is the intersection graph of a set of arcs on the circle.
Autorenporträt
Dr.A. SUDHAKARAIAH MSC,PHD is an Assistant professor department of mathematics S.V.UNIVERSITY TIRUPATI,AP INDIA.He is having 15 years teaching experience,35published ,36 presented papers national and international leval.He was given by 4 PHDs,11 MPhil Degrees.Dr.VENNAPUSA RAMALATHA as an assistant professor in SIET ,and She has 15journalpublished.