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math.CO2026
The induced--free process
Hongyi Lou, Xinzhe Song, Guiying Yan
We study the random induced--free graph process. Let , where , be a uniformly random ordering of the edges of . Starting from the empty gr…
math.CO2026
An Erdős-Ko-Rado result for some principal series representations
Jiaqi Liao, Guiying Yan
Let be an irreducible principal series representation of satisfying certain conditions. Two subsets are called cross-$t…
cs.IT2026
Turán-Theoretic Bounds on Several Elementary Trapping Sets in LDPC Codes
Ziyang Zhao, Haoran Xiong, Zicheng Ye +2
LDPC codes have attracted significant attention due to their capacity-approaching performance. Elementary trapping sets are the main cause of the error floor phenomenon in LDPC cod…