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Jeyanthi, P., Saratha Devi, T.. (1395). Edge pair sum labeling of some cycle related graphs. , 48(1), 57-68. doi: 10.22059/jac.2016.7940
P. Jeyanthi; T. Saratha Devi. "Edge pair sum labeling of some cycle related graphs". , 48, 1, 1395, 57-68. doi: 10.22059/jac.2016.7940
Jeyanthi, P., Saratha Devi, T.. (1395). 'Edge pair sum labeling of some cycle related graphs', , 48(1), pp. 57-68. doi: 10.22059/jac.2016.7940
Jeyanthi, P., Saratha Devi, T.. Edge pair sum labeling of some cycle related graphs. , 1395; 48(1): 57-68. doi: 10.22059/jac.2016.7940

Edge pair sum labeling of some cycle related graphs

Journal of Algorithms and Computation
مقاله 4، دوره 48، شماره 1، اسفند 2016، صفحه 57-68    اصل مقاله (704.25 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2016.7940
نویسندگان
P. Jeyanthi* 1؛ T. Saratha Devi2
1Govindammal Aditanar College for Women Tiruchendur-628 215, Tamil Nadu, India
2Department of Mathematics, G.Venkataswamy Naidu College, Kovilpatti-628502,Tamilnadu,India.
چکیده
Let G be a (p,q) graph. An injective map f : E(G) → {±1,±2,...,±q} is said to be an edge pair sum labeling if the induced vertex function f*: V (G) → Z - {0} defi ned by f*(v) = ΣP∈Ev f (e) is one-one where Ev denotes the set of edges in G that are incident with a vertex v and f*(V (G)) is either of the form {±k1,±k2,...,±kp/2} or {±k1,±k2,...,±k(p-1)/2} U {±k(p+1)/2} according as p is even or odd. A graph with an edge pair sum labeling is called an edge pair sum graph. In this paper we prove that the graphs GL(n), double triangular snake D(Tn), Wn, Fln, <Cm,K1,n> and <Cm * K1,n> admit edge pair sum labeling.
کلیدواژه‌ها
Edge pair sum labeling؛ edge pair sum graph؛ double triangular snake؛ wheel graph؛ ower graph
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