On the monophonic global domination number of a graph

• Date: 2026
• Main Authors: Selvi, V., John, J., Flower, V. Sujin
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7618
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.17 We introduce the monophonic global domination number $\overline{\gamma}_m(G)$ by combining monophonic convexity (via chordless paths) with the global domination in a graph and its complement. A monophonic global dominating set is defined, and $\overline{\gamma}_m(G)$ is regarded as the mi...