Huiqiu Lin

activity

20132026

most citedEigenvalues and triangles in graphs

84 citations · 255 across the 31 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.CO2019

On $k$ -idempotent 0-1 matrices

Zejun Huang, Huiqiu Lin

Let $k \geq 2$ be an integer. If a square 0-1 matrix $A$ satisfies $A^{k} = A$ , then $A$ is said to be $k$ -idempotent. In this paper, we give a characterization of $k$ -idempotent 0-1 mat…

math.CO2019★ 40 cited

A Complete Solution to the Cvetković-Rowlinson Conjecture

Huiqiu Lin, Bo Ning

In 1990, Cvetković and Rowlinson [The largest eigenvalue of a graph: a survey, Linear Multilinear Algebra 28(1-2) (1990), 3--33] conjectured that among all outerplanar graphs on $n…

math.CO2019★ 84 cited

Eigenvalues and triangles in graphs

Huiqiu Lin, Bo Ning, Baoyindureng Wu

Bollobás and Nikiforov [J. Combin. Theory, Ser. B. 97 (2007) 859--865] conjectured the following. If $G$ is a $K_{r + 1}$ -free graph on at least $r + 1$ vertices and $m$ edges, then $λ…

math.CO2019★ 1 cited

Signless Laplacian eigenvalue problems of Nordhaus-Gaddum type

Xueyi Huang, Huiqiu Lin

Let $G$ be a graph of order $n$ , and let $q_{1} (G) \geq q_{2} (G) \geq \dots \geq q_{n} (G)$ denote the signless Laplacian eigenvalues of $G$ . Ashraf and Tayfeh-Rezaie [Electron. J. Combin. 2…

On k-idempotent 0-1 matrices

A Complete Solution to the Cvetković-Rowlinson Conjecture

Eigenvalues and triangles in graphs

Signless Laplacian eigenvalue problems of Nordhaus-Gaddum type

On $k$ -idempotent 0-1 matrices