Maximum Reciprocal Degree Resistance Distance Index of Unicyclic Graphs
نویسندگان
چکیده
منابع مشابه
degree resistance distance of unicyclic graphs
let $g$ be a connected graph with vertex set $v(g)$. the degree resistance distance of $g$ is defined as $d_r(g) = sum_{{u,v} subseteq v(g)} [d(u)+d(v)] r(u,v)$, where $d(u)$ is the degree of vertex $u$, and $r(u,v)$ denotes the resistance distance between $u$ and $v$. in this paper, we characterize $n$-vertex unicyclic graphs having minimum and second minimum degree resista...
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The reverse degree distance of a connected graph $G$ is defined in discrete mathematical chemistry as [ r (G)=2(n-1)md-sum_{uin V(G)}d_G(u)D_G(u), ] where $n$, $m$ and $d$ are the number of vertices, the number of edges and the diameter of $G$, respectively, $d_G(u)$ is the degree of vertex $u$, $D_G(u)$ is the sum of distance between vertex $u$ and all other vertices of $G$, and $V(G)$ is the...
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Let G be a connected graph with vertex set V (G). The degree resistance distance of G is defined as DR(G) = ∑ fu,vg V (G)[d(u) +d(v)]R(u, v), where d(u) is the degree of vertex u, and R(u, v) denotes the resistance distance between u and v. In this paper, we characterize n-vertex unicyclic graphs having minimum and second minimum degree resistance distance.
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2020
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2020/7318968