Some Studies on Dominating Sets and Restrained Dominating Sets: Some Studies on Dominating Sets and Restrained Dominating Sets of Interval Graphs and Circular – Arc Graphs - Couverture souple

Sudhakaraiah, Anupalli; Gnana Deepika, E.

Couverture souple

ISBN 10 : 6200619913 ISBN 13 : 9786200619914

Editeur : GlobeEdit, 2021

Synopsis

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.

Détails de l'édition

• Éditeur: GlobeEdit
• Date d'édition: 2021
• Langue: anglais
• ISBN 10: 6200619913
• ISBN 13: 9786200619914
• Reliure: Broché
• Nombre de pages: 160
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible