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math.CO2026
On the Smallest Eigenvalues and Quantum Chromatic Numbers of Hamming Graphs and Generalizations
Yu Ning, Jack H. Koolen, Xiande Zhang
The smallest eigenvalues of (distance-j) Hamming graphs with distance parameter j at least half the length were completely determined by Brouwer et al. (2018). In the present work,…
math.CO2025
Quantum Chromatic Number of Subgraphs of Orthogonality Graphs and the Distance-2 Hamming Graph
Tao Luo, Yu Ning, Xiande Zhang
The determination of the quantum chromatic number of graphs has attracted considerable attention recently. However, there are few families of graphs whose quantum chromatic numbers…