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All Journal Indonesian Journal of Combinatorics
Francesc A. Muntaner-Batle
The University of Newcastle
Computer Science & IT Decision Sciences, Operations Research & Management

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Exclusive graphs: a new link among labelings Rikio Ichishima; Francesc A. Muntaner-Batle; Akito Oshima
Indonesian Journal of Combinatorics Vol 3, No 1 (2019)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (180.486 KB) | DOI: 10.19184/ijc.2019.3.1.1

Abstract

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.
Co-Authors Akito Oshima Rikio Ichishima