Odd mean labeling on some new families of graphs

Lekha Bijukumar, Avani Matad

Abstract


A graph G = (V (G);E(G)) with p vertices and q edges is said to be
an odd mean graph if there is an injection f : V (G) ! f0; 1; 2; : : : ; 2q????
1g and the induced function f* : E(G) ! f1; 3; 5; : : : ; 2q ???? 1g dened
as
f*(e = uv) = f(u)+f(v)
2 ; if f(u) + f(v) is even
=f(u)+f(v)+1
2 ;if f(u) + f(v) is odd, is a bijection. In this
paper we investigate some new families of odd mean graphs.


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