Odd Prime Labeling For Some Arrow Related Graphs

Gajalakshmi G, Meena S

Abstract


In a graph G a mapping g is known as odd prime labeling , if g is a
bijection from V to f1; 3; 5; ::::; 2jVj - 1g satisfying the condition that
for each line xy in G the gcd of the labels of end points (g(x); g(y)) is
one. In this article we prove that some new arrow related graphs such
as A2
y, A3 y,A5 y, are all odd prime graphs. Also we prove that double
arrow graphs, DA2 y and DA3 y are odd prime graphs.

Keywords


Prime graph, Odd prime graph, Arrow graphs.

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DOI: http://dx.doi.org/10.23755/rm.v46i0.1059

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