3 papers
math.CO2026
On a conjecture of Kolokolnikov on algebraic connectivity
Cheng Chi, Junjie Wang, Jiaxin Zheng
For a graph , let be the second smallest eigenvalue of the Laplacian matrix of , also known as the algebraic connectivity. Algebraic connectivity plays an important ro…
math.CO2026
A lifting theorem for generalized Turán numbers of triangles
Junjie Wang, Yaoping Hou
For graphs and , the generalized Turán number denotes the maximum number of copies of in an -vertex -free graph. We prove a general lift…
math.CO2022
Spectral radius conditions for fractional -covered graphs
Junjie Wang, Jiaxin Zheng, Yonglei Chen
A graph is called fractional -covered if for every edge of there is a fractional -factor with the indicator function such that . In this paper…