Title1: Least Q-eigenvalue and domination number of graphs

Speaker: Prof. Guanglong Yu（Lingnan Normal University）

Time: Sat, Oct.31 2020, AM: 08:30-09:30

Title 2: Unified methods and results on the spectral property of hamiltonian problem

Speaker: Prof. Muhuo Liu（South China Agricultural University ）

Time: Sat, Oct.31 2020, AM: 09:30-10:30

Title 3: Characterizing the extremal graphs with respect to the eccentricity eigenvalues, and beyond

Speaker: Prof. Shuchao Li（Central China Normal University ）

Time: Sat, Oct.31 2020, AM: 10:30-11:30

Location: Tencent Conference

Meeting Number: 364 707 335

Inviter: Dr. Jing Huang

Abstract1:

      In this talk, somer structural properties for with fixed domination number are represented. Using these properties, among some classes of graphs with dominaton number, the minimum least Q-eigenvalues are completely determined. 

Abstract2:

      There have been researches on sufficient spectral conditions for Hamiltonian properties of graphs. Utilizing the Bondy-Chvatal closure, we provide a unified approach to study sufficient graph eigenvalue conditions for these properties and sharpen several former spectral Hamiltonian results on (balanced bipartite) graphs and complementary graphs.

Abstract3: