2 papers
math.CO2020
Combinatorial proof of an identity on Genocchi numbers
Beáta Bényi, Matthieu Josuat-Vergès
In this note we present a combinatorial proof of an identity involving poly-Bernoulli numbers and Genocchi numbers. We introduce the combinatorial objects, barred Callan sequen…
math.CO2018
Extensions of partial cyclic orders and consecutive coordinate polytopes
Arvind Ayyer, Matthieu Josuat-Vergès, Sanjay Ramassamy
We introduce several classes of polytopes contained in and cut out by inequalities involving sums of consecutive coordinates. We show that the normalized volumes of these…