3 papers
math.CO2026
Spectral bounds for distance coloring and packing parameters of graphs via semidefinite programming
Aida Abiad, Yue Yang, Jiang Zhou
Using methods from spectral graph theory and semidefinite programming, we obtain sharp spectral bounds for several graph parameters related to distance colorings and packing, inclu…
math.CO2025
Spherical two-distance sets and graph eigenvalues
Jiang Zhou
A set of unit vectors in is a called a spherical two-distance set if the inner products of distinct vectors only take two values. In this paper, we give explicit cor…
math.CO2024
Unified bounds for the independence number of graph powers
Aida Abiad, Jiang Zhou
For a graph , its -th power is constructed by placing an edge between two vertices if they are within distance of each other. The -independence number …