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arXiv · 1310.5456

On Weakly Uniform Integer Additive Set-Indexers of Graphs

K A. Germina·N K. Sudev
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Abstract

Acharya introduced the notion of set-valuations of graphs as a set analogue of the number valuations of graphs. Also we have the notion of set-indexers, integer additive set-indexers and k-uniform integer additive set-indexers. In this paper, we initiate a study of the graphs which admit k-uniform integer additive set-indexers as a generalisation to the earlier studies of 1-uniform and 2-uniform integer additive set-indexers. We introduce the notion of weakly uniform integer additive set-indexers and arbitrarily uniform integer additive set-indexers based on the cardinality of the labeling sets and provide some useful results on these types of set-indexers.

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K A. Germina, N K. Sudev. 2013-12-30. On Weakly Uniform Integer Additive Set-Indexers of Graphs. https://doi.org/10.12988/imf.2013.310188

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