On graphs with equal dominating and c-dominating energy

• Autores: Sunilkumar M. Hosamani, Vishwanath B. Awati, R.M Honmore
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 4, Nº. 2, 2019, págs. 503-512
• Idioma: inglés
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• Resumen

  • 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 cdominating 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