Elegant labeling of some graphs and their line graphs
Journal Title: RA Journal Of Applied Research - Year 2016, Vol 2, Issue 8
Abstract
An elegant labeling f of graph G with ‘ q ’ edges an injective function from the vertices of G to the set {0, 1, 2,--- ---- q} such that when each edge ( e = xy ) is assigned the label { ( f (x) + f (y) ) mod( q + 1) } the resulting edge labels are distinct and non zero. In this paper it is shown to be certain families of line graphs of elegant graphs are elegant graphs.
Authors and Affiliations
Vijayalaxmi . Shigehalli
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