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math.CO2026
An Exact Dominant Degree Condition for Transitive Tournament Factors in Digraphs
Yufei Chang, Shuo Wei, Jin Yan
Let , let denote the transitive tournament on vertices, and write . We prove that if and an -vertex digraph s…
math.CO2026
The exact total degree threshold for the square of a Hamilton cycle in digraphs
Zhilan Wang, Shuo Wei, Jin Yan
The paper determines the exact minimum total degree condition that guarantees the square of a Hamilton cycle in large directed graphs, confirming the conjecture of DeBiasio et al.…
math.CO2026
An Ore-type Theorem for Oriented Discrepancy of Hamilton Cycles
Yufei Chang, Yangyang Cheng, Zhilan Wang +2
Oriented graph discrepancy problems focus on finding specific subgraphs within a given oriented graph that contain a significant number of edges in one direction. This concept…