97 citations · 499 across the 139 of their papers we have counts for
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Orders induced by segments in floorplan partitions and (2-14-3,3-41-2)-avoiding permutations
Andrei Asinowski, Gill Barequet, Mireille Bousquet-Mélou +2
A floorplan is a tiling of a rectangle by rectangles. There are natural ways to order the elements---rectangles and segments---of a floorplan. Ackerman, Barequet and Pinter studied…
Bilinear Forms on Skein Modules and Steps in Dyck Paths
Xuanting Cai, Toufik Mansour
We use Jones-Wenzl idempotents to construct bases for the relative Kauffman bracket skein module of a square with n points colored 1 and one point colored h. We consider a natural…
A characterization of horizontal visibility graphs and combinatorics on words
Gregory Gutin, Toufik Mansour, Simone Severini
An Horizontal Visibility Graph (for short, HVG) is defined in association with an ordered set of non-negative reals. HVGs realize a methodology in the analysis of time series, thei…
A new class of sum rules for products of Bessel functions
G. Bevilacqua, V. Biancalana, Y. Dancheva +2
In this paper we derive a new class of sum rules for products of the Bessel functions of first kind. Using standard algebraic manipulations we extend some of the well known propert…
On the degeneracy of topological phases
Stephen P. Jordan, Toufik Mansour, Simone Severini
The ground state degeneracy of an topological phase with quasiparticle excitations is relevant quantity for quantum computation, condensed matter physics, and knot th…