Total positivity of a class of combinatorial matrices
classification
🧮 math.CO
keywords
matricescombinatorialpositivitytotalclasscompleteconsiderconvolution
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In this paper, we consider matrices whose entries are combinatorial sequences which can be expressed in terms of a convolution of elementary and complete homogeneous symmetric functions. We establish the total positivity of these matrices using the Lindstr\"om-Gessel-Viennot Lemma.
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