Xueliang Li

collaborators

8 papers

math.CO2009

Note on the energy of regular graphs

Xueliang Li, Yiyang Li, Yongtang Shi

For a simple graph $G$ , the energy $E (G)$ is defined as the sum of the absolute values of all the eigenvalues of its adjacency matrix $A (G)$ . Let $n, m$ , respectively, be…

math.CO2009★ 15 cited

All Connected Graphs with Maximum Degree at Most 3 whose Energies are Equal to the Number of Vertices

Xueliang Li, Hongping Ma

The energy $E (G)$ of a graph $G$ is defined as the sum of the absolute values of its eigenvalues. Let $S_{2}$ be the star of order 2 (or $K_{2}$ ) and $Q$ be the graph obtained from $S_…

math.CO2009★ 1 cited

Randić index, diameter and the average distance

Xueliang Li, Yongtang Shi

The Randić index of a graph $G$ , denoted by $R (G)$ , is defined as the sum of $1/ d (u) d (v)$ over all edges $uv$ of $G$ , where $d (u)$ denotes the degree of a vertex $u$ in $G$ .…

math.CO2009

A proof of the conjecture on hypoenergetic graphs with maximum degree $Δ \leq 3$

Xueliang Li, Hongping Ma

The energy $E (G)$ of a graph $G$ is defined as the sum of the absolute values of its eigenvalues. A graph $G$ of order $n$ is said to be hypoenergetic if $E (G) < n$ . Majstorović et a…

math.CO2009

The limiting spectral distribution of the generalized Wigner matrix

Wenxue Du, Xueliang Li, Yiyang Li

The properties of eigenvalues of large dimensional random matrices have received considerable attention. One important achievement is the existence and identification of the limiti…

math.CO2009

Note for Nikiforov's two conjectures on the energy of trees

Xueliang Li, Jianxi Liu

The energy $E$ of a graph is defined to be the sum of the absolute values of its eigenvalues. Nikiforov in {\it ``V. Nikiforov, The energy of $C_{4}$ -free graphs of bounded degree, L…

Note on the energy of regular graphs

All Connected Graphs with Maximum Degree at Most 3 whose Energies are Equal to the Number of Vertices

Randić index, diameter and the average distance

A proof of the conjecture on hypoenergetic graphs with maximum degree Δ≤3

The limiting spectral distribution of the generalized Wigner matrix

Note for Nikiforov's two conjectures on the energy of trees

A proof of the conjecture on hypoenergetic graphs with maximum degree $Δ \leq 3$