22 citations · 106 across the 24 of their papers we have counts for
10 papers · 1 filter
Multiple cluster algebra structures for TCD maps I: theoretical framework
Niklas Affolter, Terrence George, Max Glick +1
We introduce triple crossing diagram (TCD) maps, which encode projective configurations of points and lines, as a unified framework for constructions arising in various areas of ge…
Points and lines configurations for perpendicular bisectors of convex cyclic polygons
Paul Melotti, Sanjay Ramassamy, Paul Thévenin
We characterize the topological configurations of points and lines that may arise when placing n points on a circle and drawing the n perpendicular bisectors of the sides of the co…
Cube moves for -embeddings and -realizations
Paul Melotti, Sanjay Ramassamy, Paul Thévenin
Chelkak introduced -embeddings as tilings by tangential quads which provide the right setting to study the Ising model with arbitrary coupling constants on arbitrary planar grap…
Vector-relation configurations and plabic graphs
Niklas Affolter, Max Glick, Pavlo Pylyavskyy +1
We study a simple geometric model for local transformations of bipartite graphs. The state consists of a choice of a vector at each white vertex made in such a way that the vectors…
The Foata correspondence, cycle lengths and anomalies
Sanjay Ramassamy
In their study of the densest jammed configurations for theater models, Krapivsky and Luck observe that two classes of permutations have the same cardinalities and ask for a biject…
Laminations of a graph on a pair of pants
Sanjay Ramassamy
A lamination of a graph embedded on a surface is a collection of pairwise disjoint non-contractible simple closed curves drawn on the graph. In the case when the surface is a spher…
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…
Modular periodicity of the Euler numbers and a sequence by Arnold
Sanjay Ramassamy
For any positive integer , the sequence of the Euler up/down numbers reduced modulo was proved to be ultimately periodic by Knuth and Buckholtz. Based on computer simulation…
Extensions of partial cyclic orders, Euler numbers and multidimensional boustrophedons
Sanjay Ramassamy
We enumerate total cyclic orders on where we prescribe the relative cyclic order of consecutive triples , these integers being taken mo…
Coupling any number of balls in the infinite-bin model
Ksenia Chernysh, Sanjay Ramassamy
The infinite-bin model, introduced by Foss and Konstantopoulos, describes the Markovian evolution of configurations of balls placed inside bins, obeying certain transition rules. W…