q-Weighted log-concavity and q-product theorem on the normality of posets |
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| Authors: | Jun Wang Huajun Zhang |
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| Institution: | aDepartment of Mathematics, Shanghai Normal University, Shanghai 200034, PR China;bDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, PR China |
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| Abstract: | We show that q-weighted log-concavity and the strict normalized matching property are preserved under the q-direct product over weighted posets. As consequences, two classes of weighted posets including the finite linear lattices are strictly q-weighted log-concave and strictly normal. |
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| Keywords: | Log-concavity Direct product of posets Normal poset Normalized matching property LYM property |
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