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On the extremal total irregularity index of n-vertex trees with fixed maximum degree | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 9، دوره 6، شماره 1، شهریور 2021، صفحه 113-121 اصل مقاله (428.5 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2020.26965.1168 | ||
| نویسندگان | ||
| Shamaila Adeel* ؛ Akhlaq Ahmad Bhatti | ||
| Fast NUCES, Lahore, Pakistan. | ||
| چکیده | ||
| In the extension of irregularity indices, Abdo et. al. {[H. Abdo, S. Brandt, D. Dimitrov, The total irregularity of a graph, Discrete Math. Theor. Comput. Sci. 16 (2014), 201--206]} defined the total irregularity of a graph $G = (V,E)$ as $irr_{t}(G)= \frac{1}{2} \sum_{u,v\in V(G)} \big|d_u - d_v \big| $, where $d_u $ denotes the vertex degree of a vertex $u \in V(G)$. In this paper, we investigate the total irregularity of trees with bounded maximal degree $\Delta$ and state integer linear programming problem which gives standard information about extremal trees and it also calculates the index. | ||
| کلیدواژه‌ها | ||
| Irregularity؛ total irregularity index؛ maximal degree؛ molecular trees؛ integer linear programming problem | ||
| مراجع | ||
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