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math.CO2026
Pairs of lattice complements with complementary homology
Sara Faridi, Dharm Veer, Volkmar Welker
In this paper we study whether there is a global to local principle for the homology of order complexes of finite lattices. We explore whether the non-vanishing of the homology of…
math.CO2023
On Cohen-Macaulay posets of dimension two and permutation graphs
Rizwan Jahangir, Dharm Veer
We characterize Cohen-Macaulay posets of dimension two; they are precisely the shellable and strongly connected posets of dimension two. We also give a combinatorial description of…