2 papers
math.CO2026
The Sharp Upper Bounds for the Median Eigenvalues of Graphs
Zhengbo Chen, Yuzhenni Wang, Xiao-Dong Zhang
Let be the eigenvalues of a simple graph of order . The HL-index of is defined by with $h=\lfloor(n+1)/2\rfloo…
math.CO2024
A class of trees determined by their chromatic symmetric functions
Yuzhenni Wang, Xingxing Yu, Xiao-Dong Zhang
Stanley introduced the concept of chromatic symmetric functions of graphs which extends and refines the notion of chromatic polynomials of graphs, and asked whether trees are deter…