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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.CO2026
On the characterization of geometric distance-regular graphs
Chenhui Lv, Jack H. Koolen
In 2010, Koolen and Bang proposed the following conjecture: For a fixed integer , any geometric distance-regular graph with smallest eigenvalue , diameter …