ANTIMAGIC LABELING OF GENERALIZED SAUSAGE GRAPHS

Oudone Phanalasy


Abstract


An antimagic labeling of a graph with q edges is a bijection from the set of edges to the set of positive integers {1,2,...,q} such that all vertex weights are pairwise distinct, where the vertex weight of a vertex is the sum of the labels of all the edges incident with that vertex. A graph is antimagic if it has an antimagic labeling. In this paper we construct antimagic labeling for the family of generalized sausage graphs.

DOI : http://dx.doi.org/10.22342/jims.20.2.184.95-110


Keywords


Antimagic labeling, generalized sausage graph.

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Journal of the Indonesian Mathematical Society ( p-ISSN:2086-8952 | e-ISSN:2460-0245) published by the Indonesian Mathematical Society (IndoMS).

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p-ISSN:2086-8952e-ISSN:2460-0245