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math.CO2026
Fractional revival on oriented Cayley and semi-Cayley graphs over abelian groups
Ming Jiang, Xiaogang Liu, Jing Wang
Fractional revival (FR), a generalization of perfect state transfer (PST), is a significant phenomenon in quantum state transfer that allows quantum information to be transmitted b…
math.CO2026
Strong counterexamples to Mubayi's supersaturation conjecture in every uniformity
Heng Li, Hong Liu, Xizhi Liu +1
The supersaturation problem asks, for a fixed -graph , for the minimum number of copies of in an -vertex -graph with $\ex(n,\mathcal F)+q$ edges.…