Year: 2026
Type: article
Abstract: In this work, we introduce a new graph polynomial counting the locating total dominating sets of G. This polynomial encodes the full distribution of such sets. Using known structural characterizations of locating total dominating sets, we derive explicit formulas for the join of graphs. In particular, we obtain a product formula for the join and related formulas for joins with complete graphs. These results extend the numerical theory of locating total domination to an enumerative setting.
Author: Benjamin Omamalin
Institution: Bohol Island State University-Balilihan Campus
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7161237453