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

**Year of Publication:**2015

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 P_{m}∪P_{n},C_{m}∪C_{n},k_{1},m∪k_{1},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.