Work

Domination Defect of Some Parameterized Families of Graphs

Year: 2024

Type: article

Abstract: In this paper, we study the concept of \(k\)-domination defect of a graph \(G\) and investigate it for some parameterized families of graphs. We produce characterizations of the \(\zeta_k\)-sets of the path, cycle, centipede graph, sunlet graph, bi-star graph, crown graph, and complete bipartite graph, and then from these characterizations, the corresponding \(k\)-domination defects of the aforesaid graphs are determined.

Source: Communications in Mathematics and Applications

DOI: 10.26713/cma.v15i2.1984

Authors: Aldwin T. Miranda, Rolito G. Eballe

Institutions: Southern Philippines Agri-Business and Marine and Aquatic School of Technology, Central Mindanao University

Language: English

Topic: Advanced Graph Theory Research

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: Commission on Higher Education

OpenAlex ID: W4407059161

FWCI:

Cites:

Cited by: 2

Related to: 10