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On 2-Movable Total Domination in the Join and Corona of Graphs

Year: 2026

Type: article

Abstract: Let G be a connected graph. A non-empty set T ⊆ V(G) is a 2-movable total dominating set of G if T is a total dominating set and for every pair x, y ∈ T , T \{x, y} is a total dominating set in G, or there exist u, v ∈ V(G)\T such that u and v are adjacent to x and y, respectively, and (T \{x, y}) ∪ {u, v} is a total dominating set in G. The 2-movable total domination number of G, denoted by γ 2 mt(G), is the minimum cardinality of a 2-movable total dominating set of G. A 2-movable total dominating set with cardinality equal to γ 2 mt(G) is called γ 2 mt-set of G. This paper present the 2-movable total domination in the join and corona of graphs.

Source: Annals of Communications in Mathematics

DOI: 10.62072/acm.2026.09037

Authors: Ariel C. Pedrano, Rolando N. Paluga

Institutions: University of Southeastern Philippines, Caraga State University

Language: English

Topic: Advanced Graph Theory Research

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7075994241

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