Exclusive graphs: a new link among labelings
Rikio Ichishima, Francesc A. Muntaner-Batle, Akito Oshima
Indonesian Journal of Combinatorics · 2019
doi:10.19184/ijc.2019.3.1.1 (opens in a new tab)
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Abstract
<p>In this paper, we define a strongly felicitous graph to be lower-exclusive, upper-exclusive and exclusive depending on different restrictions for the vertex labels. With these new concepts, we show that the union of finite collection of strongly felicitous graphs, a lower-exclusive one and an upper-exclusive one results in a strongly felicitous graph. We also introduce the concept of decompositional graphs. By means of this, we provide some results involving the cartesian products of exclusive graphs.</p>
Abstract licence: CC BY-SA
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