The week's pick
Reseach Article
Square Difference 3-Equitable Labeling of Paths and Cycles
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 123 - Number 17 |
| Year of Publication: 2015 |
| Authors: S. Murugesan, J. Shiama |
10.5120/ijca2015905774
|
S. Murugesan, J. Shiama . Square Difference 3-Equitable Labeling of Paths and Cycles. International Journal of Computer Applications. 123, 17 ( August 2015), 1-5. DOI=10.5120/ijca2015905774
Abstract
A square difference 3-equitable labeling of a graph G with vertex set V is a bijection f from V to {1, 2,…. | V | } jg such that if each edge uv is assigned the label -1 if |[f (u)]2 - [f (v)]2 | = -1(mod 4), the label 0 if |[f (u)]2 - [f (v)]2 | = 0(mod 4) and the label 1 if |[f (u)]2 - [f (v)]| = 1(mod 4), then the number of edges labeled with i and the number of edges labelled with j differ by atmost 1 for -1 = I, j = 1. If a graph has a square difference 3-equitable labeling, then it is called square difference 3-equitable graph. In this paper, we investigate the square difference 3-equitable labeling behaviour of paths and cycles.
References
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- J.Shiama, Square sum labeling for some middle and total graphs, International Journal of Computer Applications (0975-8887) Volume 37- No.4 January 2012.
- J.Shiama, Square difference labeling for some graphs, International Journal of Computer Applications (0975-8887) Volume 44- No.4, April 2012.
- J.Shiama, Some Special types of Square difference graphs, International Journal of Mathematical archives- 3(6), 2012, 2369-2374 ISSN 2229-5046.
- J.Shiama, Square difference labeling for some path, fan and gear graphs, International Journal of Scientific and Engineering Research volume 4, issues 3, March -2013, ISSN 2229- 5518.
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