Yiyang Li

activity

20092020

most citedThe Laplacian energy of random graphs

1 citations · 1 across the 10 of their papers we have counts for

collaborators

11 papers

math.CO2020

Asymptotic values of four Laplacian-type energies for matrices with degree-distance-based entries of random graphs

Xueliang Li, Yiyang Li, Zhiqian Wang

Let $f (D (i, j), d_{i}, d_{j})$ be a real function symmetric in $i$ and $j$ with the property that $f (d, (1 + o (1)) n p, (1 + o (1)) n p) = (1 + o (1)) f (d, n p, n p)$ for $d = 1, 2$ . Let $G$ be a graph, $…

math.CO2020

The asymptotic value of energy for matrices with degree-distance-based entries of random graphs

Xueliang Li, Yiyang Li, Zhiqian Wang

For a graph $G = (V, E)$ and $i, j \in V$ , denote the distance between $i$ and $j$ in $G$ by $D (i, j)$ and the degrees of $i$ , $j$ by $d_{i}$ , $d_{j}$ , respectively. Let $f(D(i, j), d_{i}…

math.CO2019

The asymptotic value of graph energy for random graphs with degree-based weights

Xueliang Li, Yiyang Li, Jiarong Song

In this paper, we investigate the energy of a weighted random graph $G_{p} (f)$ in $G_{n, p} (f)$ , in which each edge $ij$ takes the weight $f (d_{i}, d_{j})$ , where $d_{v}$ is a random variabl…

math.CO2012

The asymptotic number of different rooted trees of a tree

Xueliang Li, Yiyang Li, Yongtang Shi

Let $T_{n}$ be the set of trees with $n$ vertices. Suppose that each tree in $T_{n}$ is equally likely. We show that the number of different rooted trees of a tree…

math.CO2010

The asymptotic number of occurrences of a subtree in trees with bounded maximum degree and an application to the Estrada index

Xueliang LI, Yiyang Li

Let $T_{n}^{Δ}$ denote the set of trees of order $n$ , in which the degree of each vertex is bounded by some integer $Δ$ . Suppose that every tree in $T_{n}^{Δ}$ is equ…

math.CO2010

The asymptotic values of the general Zagreb and Randić indices of trees with bounded maximum degree

Xueliang Li, Yiyang Li

Let $T_{n}^{Δ}$ denote the set of trees of order $n$ , in which the degree of each vertex is bounded by some integer $Δ$ . Suppose that every tree in $T_{n}^{Δ}$ is equ…