Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Tang, Zikai"'
Autor:
Tang, Zikai, Deng, Hanyuan
A new geometric background of graph invariants was introduced by Gutman, of which the simplest is the second Sombor index $SO_2$, defined as $SO_2=SO_2(G)=\sum_{uv\in E}\frac{|d^2_G(u)-d^2_G(v)|}{d^2_G(u)+d^2_G(v)}$, where $G = (V, E)$ is a simple gr
Externí odkaz:
http://arxiv.org/abs/2208.09154
The zeroth-order general Randi\'{c} index $R^{0}_{a+1}$ of an $n$-vertices oriented graph $D$ is equal to the sum of $(d^{+}_{u_i})^{a}+(d^{-}_{u_j})^{a}$ over all arcs $u_iu_j$ of $D$, where we denote by $d^{+}_{u_i}$ the out-degree of the vertex $u
Externí odkaz:
http://arxiv.org/abs/2205.09955
Publikováno v:
In Discrete Applied Mathematics 30 October 2024 356:96-103
Let $D=(V,A)$ be a digraphs without isolated vertices. A vertex-degree based invariant $I(D)$ related to a real function $\varphi$ of $D$ is defined as a summation over all arcs, $I(D) = \frac{1}{2}\sum_{uv\in A}{\varphi(d_u^+,d_v^-)}$, where $d_u^+$
Externí odkaz:
http://arxiv.org/abs/2104.14742
Autor:
Song, Ling, Tang, Zikai
The leap eccentric connectivity index of $G$ is defined as $$L\xi^{C}(G)=\sum_{v\in V(G)}d_{2}(v|G)e(v|G)$$ where $d_{2}(v|G) $ be the second degree of the vertex $v$ and $e(v|G)$ be the eccentricity of the vertex $v$ in $G$. In this paper, we first
Externí odkaz:
http://arxiv.org/abs/2104.03482
Let $G =(V_{G}, E_{G})$ be a simple connected graph with its vertex set $V_{G}$ and edge set $E_{G}$. The Mostar index $Mo(G)$ was defined as $Mo(G)=\sum\limits_{e=uv\in E(G)}|n_{u}-n_{v}|$, where $n_{u}$ (resp., $n_{v}$) is the number of vertices wh
Externí odkaz:
http://arxiv.org/abs/2103.04018
Publikováno v:
In Discrete Applied Mathematics 15 October 2023 337:202-217
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Autor:
Qiu, Zhengping, Tang, Zikai
Publikováno v:
In Discrete Applied Mathematics 31 March 2022 310:75-85
The connective eccentricity index $\xi^{ce}=\sum^{}_{u\in V}\frac{d(u)}{\varepsilon(u)}$, where $\varepsilon(u)$ and $d(u)$ denote the eccentricity and the degree of the vertex $u$, respectively. In this paper, we first determine the extremal trees w
Externí odkaz:
http://arxiv.org/abs/1702.04608