On weakly uniform integer additive set-indexers of graphs
K. A. Germina, N. K. Sudev · International Mathematical Forum · 2013
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.