On some automorphism related parameters in graphs

Abstract

In this paper, we deduce some properties of $f$-sets of connected graphs. Also, we introduce the concept of fixing share of each vertex of a fixing set $D$ to see the participation of each vertex when fixing a connected graph $G$. We define a parameter, called the fixing percentage, by using the concept of fixing share, which is helpful in determining the measure of the amount of fixing done by the elements of $D$ in $G$.

7 pages, 1 figure

References in corpus (1)

• Resolving Share and Topological Index

Cited by in corpus (1)

• On the Fractional fixing number of graphs