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3-Total Super Sum Cordial Labeling for Union of Some Graphs
| International Journal of Applied Information Systems |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 8 - Number 4 |
| Year of Publication: 2015 |
| Authors: Abha Tenguria, Rinku Verma |
10.5120/ijais15-451303
|
Abha Tenguria, Rinku Verma . 3-Total Super Sum Cordial Labeling for Union of Some Graphs. International Journal of Applied Information Systems. 8, 4 ( February 2015), 25-30. DOI=10.5120/ijais15-451303
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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