Integral Root Labeling of Pm ∪ G Graphs


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Article type :

Original Article

Author :

V. L. Stella Arputha Mary | N. Nanthini

Volume :

2

Issue :

5

Abstract :

Let G= V,E be a graph with p vertices and q edges. Let f V {1,2,…q 1} is called an Integral Root labeling if it is possible to label all the vertices v V with distinct elements from {1,2,…q 1} such that it induces an edge labeling f^ E {1,2,…q} defined as f^ uv = v f u ^2 f v ^2 f u f v 3 is distinct for all uv E. i.e. The distinct vertex labeling induces a distinct edge labeling on the graph. The graph which admits Integral Root labeling is called an Integral Root Graph. In this paper, we investigate the Integral Root labeling of P m G graphs likeP m P n,P m P n K 1 , P m L n,P m P n K 1,2 , P m P n K 1,3 , P m P n K 1 K 1,2 V. L. Stella Arputha Mary | N. Nanthini "Integral Root Labeling of Pm ∪ G Graphs" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-5 , August 2018, URL: https://www.ijtsrd.com/papers/ijtsrd18233.pdf Paper URL: http://www.ijtsrd.com/mathemetics/other/18233/integral-root-labeling-of-pm-∪-g-graphs/v-l-stella-arputha-mary

Keyword :

P_m?P_n, P_m?(P_n ?K_1), P_m?L_n, P_m?(P_n ?K_1,2), P_m?(P_n ?K_1,3), P_m?(T_n ?K_1), P_m?(P_n ?K_1)?K_1,2
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