Please use this identifier to cite or link to this item: https://idr.l3.nitk.ac.in/jspui/handle/123456789/8607
Title: On multiplicative labelings of a graph
Authors: Hegde, S.M.
Issue Date: 2008
Citation: Journal of Combinatorial Mathematics and Combinatorial Computing, 2008, Vol.65, , pp.181-195
Abstract: A (p, q)-graph G is said to be multiplicative if its vertices can be assigned distinct positive integers so that the values of the edges, obtained as the products of the numbers assigned to their end vertices are all distinct. Such an assignment is called a multiplicative labeling of G. A multiplicative labeling is said to be (a, r)-geometric if the values of the edges, can be arranged as a geometric progression a, ar, ar2,..., arq-1. In this paper we prove that some well known classes of graphs are geometric for certain values of a,r and also initiate a study on the structure of finite (a,r)-geometric graphs.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/8607
Appears in Collections:2. Conference Papers

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