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Neighbourhood graph of a graph and its Excellence
Contributor(s): Gurusamy, G. Jothilakshmi (Author), Ponpandian, Pushpalatha (Author), Banu, Nasreen (Author)
ISBN: 6200431396     ISBN-13: 9786200431394
Publisher: LAP Lambert Academic Publishing
OUR PRICE:   $33.75  
Product Type: Paperback
Published: September 2019
Qty:
Additional Information
BISAC Categories:
- Mathematics
Physical Information: 0.17" H x 6" W x 9" (0.26 lbs) 72 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
Claude Berge in 1980 introduced B-graphs. There are graphs in which every vertex in the graph is contained in a maximum independent set of the graph. Fricke et al in 2002 made a beginning of the study of graphs which are excellent with respect to various graph parameters. A graph is neighbourhood excellent if every vertex in the graph is contained in a neighbourhood set. Given a graph, a new graph can be constructed by using neighbourhood sets of G. The vertices of the new graph are of course the neighbourgood sets of G and two such vertices will be adjacent if in the corresponding neighborhood sets, one can move from one of them to other by deletion of a vertex and addition of another vertex. This book is devoted to the study of Neighbourhood graph of a graph and its Excellence.