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Certain Product Set Labeling Of Graphs And Their Cardinality

Publication Type : Journal Article

Publisher : International Journal of Recent Technology and Engineering

Source : International Journal of Recent Technology and Engineering , Volume 8, Issue 1 (2019)

Url : https://www.ijrte.org/download/volume-8-issue-1

Campus : Kochi

School : School of Arts and Sciences

Department : Mathematics

Year : 2019

Abstract : A product set-labeling of a graph G is an injective function f : V (G) →P(N) such that the induced edge function f : E(G) →P(N)defined by f*(uv) = f(u)*f(v) is injective . A product set labeling of a graph G is a geometric product set labeling if the set labels of all its elements , that is vertices and edges with respect to the function f are geometric progressions .The number of elements in the set label of a vertex or edge of a graph G is called its cardinality .In this paper , we have found a labeling in which all the edges of a graph G are in geometric progressions even though the set labels of one of its vertex is not a geometric progression. Also the edge cardinalty of such graphs are found.

Cite this Research Publication : Veena Vincent and Supriya Rajendran, “Certain Product Set Labeling Of Graphs And Their Cardinality”, International Journal of Recent Technology and Engineering , vol. 8, no. 1, 2019.

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