Further Results on Even Vertex Odd Mean Labeling of Graphs

Document Type : Primary Research paper

Authors

1 Department of Mathematics, Government Arts and Science College, Sivakasi- 626 124, Tamil Nadu, INDIA.

2 Department of Mathematics, Maharani’s Science College for Women, Mysore- 570 005, Karnataka, INDIA

Abstract

A graph with ๐’‘ vertices and ๐’’ edges is said to have an even vertex odd mean labeling if there exists an injective function ๐’‡:๐‘ฝ(๐‘ฎ)→{๐ŸŽ,๐Ÿ,๐Ÿ’,…,๐Ÿ๐’’−๐Ÿ,๐Ÿ๐’’} such that the induced map ๐’‡∗:๐‘ฌ(๐‘ฎ)→{๐Ÿ,๐Ÿ‘,๐Ÿ“,…, ๐Ÿ๐’’−๐Ÿ} defined by ๐’‡∗(๐’–๐’—)=๐’‡(๐’–)+๐’‡(๐’—)๐Ÿ is a bijection. A graph that admits an even vertex odd mean labeling is called an even vertex odd mean graph. Here we investigate the even vertex odd mean behaviour of some standard graphs.

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Int. J. of Aquatic Science
Volume 12, Issue 2 - Serial Number 2
June 2021
Pages 5134-5146

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