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math.CO2026
Poset dimension and maximum comparability degree
Carla Groenland, Richard Montgomery, Rajko Nenadov +1
In 1986, Füredi and Kahn showed that the dimension of any finite poset satisfies , where is the maximum degree of the comparability graph…
math.CO2026
Permanents of random matrices over finite fields
Zach Hunter, Matthew Kwan, Lisa Sauermann
Fix a finite field and let be a uniformly random matrix over . The asymptotic distribution of the determinant…
math.CO2026
On Graham's rearrangement conjecture
Huy Tuan Pham, Lisa Sauermann
Graham conjectured in 1971 that for any prime , any subset admits an ordering where all partial sums $s_1, s_1+s…