Article
On graphs with equal dominating and c-dominating energy
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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.
Keywords
Dominating set, Connected dominating set, Energy, Dominating energy, c-Dominating energy, 05C69, 05C90, 05C35, 05C12
Citation
Hosamani, S. M., Awati, V. B., & Honmore, R. M. (2019). On graphs with equal dominating and c-dominating energy. Applied Mathematics and Nonlinear Sciences, 4(2), 503–512. https://doi.org/10.2478/AMNS.2019.2.00047
S. M. Hosamani, V. B. Awati and R. M. Honmore, “On graphs with equal dominating and c-dominating energy,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, pp. 503–512, 2019, doi: 10.2478/AMNS.2019.2.00047.
Hosamani SM, Awati VB, Honmore RM. On graphs with equal dominating and c-dominating energy. Applied Mathematics and Nonlinear Sciences. 2019;4(2):503–512. doi:10.2478/AMNS.2019.2.00047.
Hosamani, S. M., Awati, V. B. and Honmore, R. M. (2019), ‘On graphs with equal dominating and c-dominating energy’, Applied Mathematics and Nonlinear Sciences, 4(2), pp. 503–512. Available at: https://doi.org/10.2478/AMNS.2019.2.00047.
Hosamani, S. M., et al. “On Graphs with Equal Dominating and C-dominating Energy.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, 2019, pp. 503–512. https://doi.org/10.2478/AMNS.2019.2.00047.
Hosamani, S. M., V. B. Awati, and R. M. Honmore. “On Graphs with Equal Dominating and C-dominating Energy.” Applied Mathematics and Nonlinear Sciences 4, no. 2 (2019): 503–512. https://doi.org/10.2478/AMNS.2019.2.00047.
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Published by: Engineering Journals
