On the unimodality of convolutions of sequences of binomial coefficients
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Publication:5742682
zbMATH Open1412.05011arXiv1810.08235MaRDI QIDQ5742682
Publication date: 15 May 2019
Abstract: We provide necessary and sufficient conditions on the unimodality of a convolution of two sequences of binomial coefficients preceded by a finite number of ones. These convolution sequences arise as as rank sequences of posets of vertex-induced subtrees for a particular class of trees. The number of such trees whose poset of vertex-induced subgraphs containing the root is not rank unimodal is determined for a fixed number of vertices .
Full work available at URL: https://arxiv.org/abs/1810.08235
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