Domination number on an octagonal chain and an octagonal grid

• Date: 2025
• Main Author: Mihajlov Carević, Miroslava
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7995
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.1 Domination of the graph and topological indices are essential topics in the graph theory. We analyze the problem of $k$-domination, $k\in\{1,2,3\}$, on octagonal chains and an octagonal grid. We determine the minimal $k$-dominating sets and&nb...