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math.CO2024
Diameter bounds for distance-regular graphs via long-scale Ollivier Ricci curvature
Kaizhe Chen, Shiping Liu
In this paper, we derive new sharp diameter bounds for distance regular graphs, which better answer a problem raised by Neumaier and Penji\' c in many cases. Our proof is built upo…
math.DG2024★ 1 cited
Ricci curvature, diameter and eigenvalues of amply regular graphs
Kaizhe Chen, Chunyang Hu, Shiping Liu +1
Amply regular graphs are graphs with local distance-regularity constraints. In this paper, we prove a weaker version of a conjecture proposed by Qiao, Park, and Koolen on diameter…
math.CO2024
Curvature and local matchings of conference graphs and extensions
Kaizhe Chen, Shiping Liu, Heng Zhang
We prove a conjecture of Bonini et al. on the precise values of the Lin--Lu--Yau curvature of conference graphs, i.e., strongly regular graphs with parameters . Ou…