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Super Pair Sum Labeling of Graphs | ||
Journal of Algorithms and Computation | ||
مقاله 2، دوره 49، شماره 2، اسفند 2017، صفحه 13-22 اصل مقاله (554.22 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22059/jac.2017.7973 | ||
نویسندگان | ||
R. Vasuki1؛ S. Arockiaraj2؛ P. Sugirtha3 | ||
1Department of Mathematics, Dr. Sivanthi Aditanar College of Engineering, Tiruchendur-628 215,Tamil Nadu, INDIA | ||
2Department of Mathematics, Mepco Schlenk Engineering College, Sivakasi-626124, Tamil Nadu | ||
3Department of Mathematics Dr. Sivanthi Aditanar College of Engineering Tiruchendur-628 215,Tamil Nadu, INDIA. | ||
چکیده | ||
Let $G$ be a graph with $p$ vertices and $q$ edges. The graph $G$ is said to be a super pair sum labeling if there exists a bijection $f$ from $V(G)\cup E(G)$ to $\{0, \pm 1, \pm2, \dots, \pm (\frac{p+q-1}{2})\}$ when $p+q$ is odd and from $V(G)\cup E(G)$ to $\{\pm 1, \pm 2, \dots, \pm (\frac{p+q}{2})\}$ when $p+q$ is even such that $f(uv)=f(u)+f(v).$ A graph that admits a super pair sum labeling is called a {\it super pair sum graph}. Here we study about the super pair sum labeling of some standard graphs. | ||
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