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20222026
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10 papers · 1 filter

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.…

math.CO2025

Pair state transfer in tensor product and double cover

Ming Jiang, Xiaogang Liu, Jing Wang

Quantum state transfer, first introduced by Bose in 2003, is an important physical phenomenon in quantum networks, which plays a vital role in quantum communication and quantum com…

math.CO2025

Enumeration of Cayley graphs over a nonabelian group of order

Bei Ye, Xiaogang Liu, Jing Wang

Let be a nonabelian group of order , where is an odd prime number. In this paper, we give…

math.CO2024

Enumeration of dicirculant digraphs

Jing Wang, Ligong Wang, Xiaogang Liu

Let be the dicyclic group of order . A Cayley digraph over is called a dicirculant digraph. In this p…

math.CO2024

Laplacian pair state transfer in Q-graph

Ming Jiang, Xiaogang Liu, Jing Wang

In 2018, Chen and Godsil proposed the concept of Laplacian perfect pair state transfer which is a brilliant generalization of Laplacian perfect state transfer. In this paper, we st…