On totally magic cordial labeling

P. Jeyanthi; N. Angel Benseera; M. Immaculate Mary

doi:10.55937/sut/1378308983

January 2013 On totally magic cordial labeling

P. Jeyanthi, N. Angel Benseera, M. Immaculate Mary

Author Affiliations +

SUT J. Math. 49(1): 13-18 (January 2013). DOI: 10.55937/sut/1378308983

Abstract

A graph $G$ is said to have totally magic cordial(TMC) labeling with constant $C$ if there exists a mapping $f:V(G) \cup E(G) \to \left\{ {0,1} \right\}$ such that $f(a) + f(b) + f(ab) \equiv C\,({\rm{Mod}}\,2)$ for all $ab \in E(G)$ and $\left| {{n_f}(0) - {n_f}(1)} \right| \le 1$ , where ${n_f}(i)(i = 0,1)$ is the sum of the number of vertices and edges with label $i$ . In this paper, we investigate some new families of graphs that admit totally magic cordial labeling.

Acknowledgement

The authors are thankful to the referee for the valuable comments for a better presentation of the paper.

Citation

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P. Jeyanthi. N. Angel Benseera. M. Immaculate Mary. "On totally magic cordial labeling." SUT J. Math. 49 (1) 13 - 18, January 2013. https://doi.org/10.55937/sut/1378308983