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3-Total Super Sum Cordial Labeling for Union of Some Graphs

Abha Tenguria, Rinku Verma Published in Applied Mathematics

3-Total Super Sum Cordial Labeling for Union of Some Graphs
International Journal of Applied Information Systems
Year of Publication: 2015
© 2013 by IJAIS Journal
Series Volume 8 Number 4
Authors Abha Tenguria, Rinku Verma
10.5120/ijais15-451303
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  1. Abha Tenguria and Rinku Verma. Article: 3-Total Super Sum Cordial Labeling for Union of Some Graphs. International Journal of Applied Information Systems 8(4):25-30, February 2015. BibTeX

    @article{key:article,
	author = "Abha Tenguria and Rinku Verma",
	title = "Article: 3-Total Super Sum Cordial Labeling for Union of Some Graphs",
	journal = "International Journal of Applied Information Systems",
	year = 2015,
	volume = 8,
	number = 4,
	pages = "25-30",
	month = "February",
	note = "Published by Foundation of Computer Science, New York, USA"
}

Abstract

In this paper we investigate 3-total super sum cordial labeling for union of some graphs. Suppose G=(V(G),E(G) ) be a graph with vertex set V(G) and edge set E(G). A vertex labeling f:V(G)→{0,1,2}. For each edge uv assign the label(f(u)+f(v))mod 3. The map f is called a 3-total super sum cordial labeling if |f(i)-f(j)|≤1 for i,j ε {0,1,2} where f(x) denotes the total number of vertices and edges labeled with x={0,1,2} and for each edge uv,|f(u)-f(v)|≤1 . Any graph which satisfies 3-total super sum cordial labeling is called 3-total super sum cordial graphs. Here we prove some graphs like Pm∪Pn,Cm∪Cn,k1,m∪k1,n are 3-total super sum cordial graphs.

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Keywords

3-total super sum cordial labeling, 3-total super sum cordial graphs.