Sigma Labeling and Circulant Graphs

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49,90 

ISBN: 6202529016
ISBN 13: 9786202529013
Autor: Vilfred, Dr V
Verlag: LAP LAMBERT Academic Publishing
Umfang: 144 S.
Erscheinungsdatum: 30.04.2020
Auflage: 1/2020
Format: 0.9 x 22 x 15
Gewicht: 233 g
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 9130989 Kategorie:

Beschreibung

This book is a copy of my Ph.D. thesis entitled, -Labeled Graphs and Circulant Graphs submitted in March 1994 under the guidance of Dr. M.I. Jinnah, University of Kerala, India. Defined -Labeling, a new type of labeling of graphs and developed its theory. Got motivation to define sigma labeling by observing two similar situations in the number labeled to the faces of dice where the sum of the numbers assigned to each pair of opposite faces is 7 and of magic squares. Suppose, we have an n×n magic square in which each row sum is r. If we form a complete multipartite graph with each row of the square representing a partite set and if we label each vertex with the corresponding integers in the magic squares we find that the sum of labels of all vertices in the neighborhood set for each vertex is the same, equal to r(n-1). In the study, we could notice that many regular -labeled graphs are circulant graphs and extended our study on circulant graphs.

Autorenporträt

Dr. V. Vilfred - Associate Professor, Department of Mathematics, Central University of Kerala.Have good academic records and more than 37 years of teaching Mathematics in college and university.

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