Subdivision of Integral Root Labeling of Graphs |
Author(s): |
| V. L. Stella Arputha Mary , Department of Mathematics, St. Mary?s College (Autonomous), Thoothukudi-628001.; N. Nanthini, M.phil Scholar, St. Mary?s College (Autonomous), Thoothukudi-628001. |
Keywords: |
Abstract |
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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. |
Other Details |
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Paper ID: IJSRDV6I60149 Published in: Volume : 6, Issue : 6 Publication Date: 01/09/2018 Page(s): 496-499 |
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