5 papers
A probabilistic bijection between twenty-vertex configurations with a free west boundary and Gelfand-Tsetlin patterns avoiding three equal entries in a row
Atsuro Yoshida
We study a coincidence between two enumerations governed by the same product formula, reminiscent of the Robbins numbers: the unweighted enumeration of twenty-vertex configurations…
Cyclotomic generating functions, empty weighted complete intersections and positivity
Mona Gatzweiler, Fabián Levicán-Santibáñez, Atsuro Yoshida
We give a sufficient combinatorial condition for the non-negativity of the coefficients of polynomial quotients of products of -integers, also known as cyclotomic generating fun…
More minor summation formulae
Shane Chern, Theresia Eisenkölbl, Ilse Fischer +8
We prove determinantal-Pfaffian formulae that simultaneously generalise the Pfaffian minor summation formula of Ishikawa and Wakayama and Byun's recent minor summation formula. The…
Domino tilings, nonintersecting lattice paths and subclasses of Koutschan-Krattenthaler-Schlosser determinants
Qipin Chen, Shane Chern, Atsuro Yoshida
Koutschan, Krattenthaler and Schlosser recently considered a family of binomial determinants. In this work, we give combinatorial interpretations of two subclasses of these determi…
Two Online Map Matching Algorithms Based on Analytic Hierarchy Process and Fuzzy Logic
Jeremy J. Lin, Tomoro Mochida, Riley C. W. O'Neill +3
Our aim of this paper is to develop new map matching algorithms and to improve upon previous work. We address two key approaches: Analytic Hierarchy Process (AHP) map matching and…