On topological integer additive set-labeling of star graphs

Hafizh M. Radiapradana, Suhadi Wido Saputro, Erma Suwastika, Oki Neswan, Andrea Semanicova-Fenovcıkova

Abstract


For integer k ≥ 2, let X = {0, 1, 2, …, k}. In this paper, we determine the order of a star graph K1, n of n + 1 vertices, such that K1, n admits a topological integer additive set-labeling (TIASL) with respect to a set X. We also give a condition for a star graph K1, n such that K1, n is not a TIASL-graph on set X.


Keywords


set-labeling, set topology, star graph, sumset, topological integer additive set-labeling

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DOI: http://dx.doi.org/10.5614/ejgta.2018.6.2.13

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ISSN: 2338-2287

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