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Some new bounds on the general sum--connectivity index | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 2، دوره 5، شماره 2، پاییز و زمستان 2020، صفحه 97-109 اصل مقاله (437.37 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2019.26618.1125 | ||
| نویسندگان | ||
Akbar Ali 1؛ Mubeen Javaid1؛ Marjan Matejic2؛ Igor Milovanovic  3؛ Emina Milovanovic2
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| 1Knowledge Unit of Science University of Management and Technology, Sialkot 51310, Pakistan | ||
| 2Faculty of Electronic Engineering, 18000 Nis, Serbia | ||
| 3Faculty of Electronic Engineering, Nis, Serbia | ||
| چکیده | ||
| Let $G=(V,E)$ be a simple connected graph with $n$ vertices, $m$ edges and sequence of vertex degrees $d_1 ge d_2 ge cdots ge d_n>0$, $d_i=d(v_i)$, where $v_iin V$. With $isim j$ we denote adjacency of vertices $v_i$ and $v_j$. The general sum--connectivity index of graph is defined as $chi_{alpha}(G)=sum_{i sim j}(d_i+d_j)^{alpha}$, where $alpha$ is an arbitrary real number. In this paper we determine relations between $chi_{alpha+beta}(G)$ and $chi_{alpha+beta-1}(G)$, where $alpha$ and $beta$ are arbitrary real numbers, and obtain new bounds for $chi_{alpha}(G)$. Also, by the appropriate choice of parameters $alpha$ and $beta$, we obtain a number of old/new inequalities for different vertex--degree--based topological indices. | ||
| کلیدواژه‌ها | ||
| Topological indices؛ vertex degree؛ sum-connectivity index | ||
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آمار تعداد مشاهده مقاله: 159 تعداد دریافت فایل اصل مقاله: 160 |
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