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K-Zumkeller Labeling for Twig Graphs
, K. Thirusangu, D.G. Thomas
Published in Elsevier
2015
Volume: 48
   
Pages: 119 - 126
Abstract
Let G = (V, E) be a graph. An injective function f:V→N is said to be a k-Zumkeller labeling of the graph G if the induced function f*:E→N defined by f*(xy)=f(x)f(y) satisfies the following conditions(i)For every xy∈E, f*(xy) is a Zumkeller number.(ii)|f*(E)|=k, where |f*(E)| denotes the number of distinct Zumkeller numbers on the edges of the graph G. In this paper we prove that twig graphs admit a 4-Zumkeller labeling. © 2015 Elsevier B.V.
About the journal
JournalData powered by TypesetElectronic Notes in Discrete Mathematics
PublisherData powered by TypesetElsevier
ISSN15710653