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On Zagreb Energy and edge-Zagreb energy | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 12، دوره 6، شماره 1، شهریور 2021، صفحه 155-169 اصل مقاله (405.66 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2020.26901.1160 | ||
| نویسنده | ||
| Rakshith B R* | ||
| Vidyavardhaka College of Engineering | ||
| چکیده | ||
| In this paper, we obtain some upper and lower bounds for the general extended energy of a graph. As an application, we obtain few bounds for the (edge) Zagreb energy of a graph. Also, we deduce a relation between Zagreb energy and edge-Zagreb energy of a graph $G$ with minimum degree $\delta \ge2$. A lower and upper bound for the spectral radius of the edge-Zagreb matrix is obtained. Finally, we give some methods to construct (edge) Zagreb equienergetic graphs and show that there are (edge) Zagreb equienergetic graphs of order $n\ge 9$. | ||
| کلیدواژهها | ||
| Zagreb energy؛ edge-Zagreb energy؛ equienergetic graphs | ||
| مراجع | ||
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