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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.
Autorius: | G. Jothilakshmi Gurusamy, Pushpalatha Ponpandian, Nasreen Banu, |
Leidėjas: | LAP LAMBERT Academic Publishing |
Išleidimo metai: | 2019 |
Knygos puslapių skaičius: | 72 |
ISBN-10: | 6200431396 |
ISBN-13: | 9786200431394 |
Formatas: | 220 x 150 x 5 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Neighbourhood graph of a graph and its Excellence“