AUTHOR=Pandian Shoba , N. Mohana 

TITLE=Domination and power domination in a one-pentagonal carbon nanocone structure

JOURNAL=Frontiers in Chemistry

VOLUME=Volume 12 - 2024

YEAR=2024

URL=https://www.frontiersin.org/journals/chemistry/articles/10.3389/fchem.2024.1423055

DOI=10.3389/fchem.2024.1423055

ISSN=2296-2646

ABSTRACT=Domination is an important factor in determining the robustness of a graph structure.A thorough examination of the graph's topological structure is necessary for analyzing and examining the graph for various aspects. Understanding the stability of a chemical compound is a significant criterion in chemistry that necessitates conducting numerous experimental tests. The domination number and power-domination number are pivotal in defining a wide range of physical properties, which include physiochemical properties, thermodynamic properties, chemical activities, and biological activities. The one pentagonal carbon nanocone (1-PCNC) is a member of the carbon nanocone family and has a similar structure to that of honeycomb networks, which are renowned for their robustness. In this paper, we find the domination number and power domination number of 1-PCNC by considering it as an (m-1)-layered infinite graph.