M. Murtaza

Centre for advanced studies in Pure and Applied Mathematics‎, ‎Bahauddin Zakariya University Multan‎, ‎Pakistan.

[ 1 ] - On the fixed number of graphs

‎A set of vertices $S$ of a graph $G$ is called a fixing set of $G$‎, ‎if only the trivial automorphism of $G$ fixes every vertex in $S$‎. ‎The fixing number of a graph is the smallest cardinality of a fixing‎ ‎set‎. ‎The fixed number of a graph $G$ is the minimum $k$‎, ‎such that ‎every $k$-set of vertices of $G$ is a fixing set of $G$‎. ‎A graph $G$‎ ‎is called a $k$-fixed graph‎, ‎if its fix...

Co-Authors

F. Iftikhar 1  

I. Javaid 1  

M. Asif 1