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math.GR2026
Automorphism groups of Cayley graphs on almost simple groups with normal connection sets
Mengyu Cao, Benjian Lv, Binzhou Xia
We determine the full automorphism group of every connected Cayley graph on an almost simple group with a normal connection set. We also characterize exactly when the full automorp…
math.CO2026
Extremal cross -intersecting families under -covering number constraints for vector spaces
Yu Zhu, Benjian Lv, Kaishun Wang
Let be an -dimensional vector space over the finite field , and denote the family of all -dimensional subspaces of . The families $\mathcal…
math.CO2026
On extremal cross -intersecting families with -covering number conditions
Yu Zhu, Benjian Lv, Kaishun Wang
Let , and be positive integers, and let be a collection of -subsets of . The -covering number of $\mathcal{F}…