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Paper Title: RESULTS ON INTEGRAL ROOT LABELING OF P_m∪G GRAPHS
Authors Name: V.L. Stella Arputha Mary , N.Nanthini
Unique Id: IJRTI1808023
Published In: Volume 3 Issue 8, August-2018
Abstract: 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)=⌈√((〖(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 Result on Integral Root labeling of P_m∪G graphs like P_m∪T_n, P_m∪Q_n, P_m ʘD(T_n), P_m ʘD(Q_n), P_m∪(T_n ʘK_1), P_m∪(Q_n ʘK_1),
Keywords: P_m∪T_n, P_m∪Q_n, P_m ʘD(T_n), P_m ʘD(Q_n), P_m∪(T_n ʘK_1), P_m∪(Q_n ʘK_1),
Cite Article: "RESULTS ON INTEGRAL ROOT LABELING OF P_m∪G GRAPHS", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.3, Issue 8, page no.142 - 151, August-2018, Available :http://www.ijrti.org/papers/IJRTI1808023.pdf
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Publication Details: Published Paper ID: IJRTI1808023
Registration ID:180412
Published In: Volume 3 Issue 8, August-2018
DOI (Digital Object Identifier):
ISSN Number: 2456 - 3315
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