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math.CO2023
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…
math.CO2023
On the -spectral radius of graphs without linear forests
Ming-Zhu Chen, A-Ming Liu, Xiao-Dong Zhang
Let and be the adjacency and degree matrices of a simple graph on vertices, respectively. The \emph{-spectral radius} of is the largest eigenvalue of…