Independence and domination in divisor graph and mod‑difference graphs

Document Type : Original Article

Author

Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt

Abstract

We initiate the study of domination and inverse domination in labeled graphs. In this
paper, we determined the cardinality of maximal independent and minimum variant
dominating (total dominating/independent dominating/co-independent dominating)
sets and their inverse in divisor graph and in two new labeling definitions called
0-mod-difference and 1-mod-difference graphs.