Affiliation:
1. Department of Mathematics , Rani Channamma University , Belagavi , India
Abstract
Abstract
Graph energy and domination in graphs are most studied areas of graph theory. In this paper we try to connect these two areas of graph theory by introducing c-dominating energy of a graph G. First, we show the chemical applications of c-dominating energy with the help of well known statistical tools. Next, we obtain mathematical properties of c-dominating energy. Finally, we characterize trees, unicyclic graphs, cubic and block graphs with equal dominating and c-dominating energy.
Subject
Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science
Reference31 articles.
1. C. Adiga, A. Bayad, I. Gutman and S. Srinivas, The minimum covering energy of a graph, Kragujevac Journal of Science 34 (2012), 39–56.
2. S.Arumugam, J. Paulraj Joseph, On graphs with equal domination and connected domination numbers, Discrete Math. 206 (1999) 45-49.
3. A. Aslam, S. Ahmad, M. A. Binyamin, W. Gao, Calculating topological indices of certain OTIS Interconnection networks, Open Chemistry, 2019, 17, 220-228.
4. A. Balban, Chemical applications of graph theory, Academic Press (1976).
5. R. Bapat, Graphs and Matrices, Hindustan Book Agency (2011).
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献