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math.CO2026
Note on near-spanning balanced antidirected trees missing from regular tournaments
Gregory Gutin, Yiming Hao
We construct near-spanning balanced antidirected trees that fail to embed in highly symmetric tournaments despite the conjectured semidegree condition being satisfied. More precise…
math.CO2026
A linear bound for nested cycles without geometric crossings
Jiangdong Ai, Gregory Gutin, Yiming Hao
Cycles in a graph are called nested without geometric crossings if they are pairwise edge-disjoint, , and each pair of conse…
math.CO2026
Bounds on Odd and Odd-Even Induced Subgraphs
Qiwen Guo, Gregory Gutin, Yiming Hao +3
Let be an -vertex graph and let prescribe degree parities. A set is -admissible if every has degree congruent to…
math.CO2026
Weighted Counting Formula and Lower Bound for Induced Subgraphs with Prescribed Degree Parities
Gregory Gutin, Yiming Hao, Yacong Zhou
Let be a finite simple graph of order , and let be a prescribed parity labeling. A set is called -admissible if $d_S(v)\e…