Exclusive graphs: a new link among labelings

Rikio Ichishima, Francesc A. Muntaner-Batle, Akito Oshima


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.


exclusive graph; (strongly) felicitous graph; decompositional

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DOI: http://dx.doi.org/10.19184/ijc.2019.3.1.1


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