23 citations · 47 across the 10 of their papers we have counts for
13 papers
Ehrhart theory of symmetric edge polytopes via ribbon structures
Tamás Kálmán, Lilla Tóthmérész
Using a ribbon structure of the graph, we construct a dissection of the symmetric edge polytope of a graph into unimodular simplices. Our dissection is shellable, and one can inter…
Root polytopes and Jaeger-type dissections for directed graphs
Tamás Kálmán, Lilla Tóthmérész
We associate root polytopes to directed graphs and study them by using ribbon structures. Most attention is paid to what we call the semi-balanced case, i.e., when each cycle has t…
Ruling invariants for Legendrian graphs
Byung Hee An, Youngjin Bae, Tamás Kálmán
We define ruling invariants for even-valence Legendrian graphs in standard contact three-space. We prove that rulings exist if and only if the DGA of the graph, introduced by the f…
The sandpile group of a trinity and a canonical definition for the planar Bernardi action
Tamás Kálmán, Seunghun Lee, Lilla Tóthmérész
Baker and Wang define the so-called Bernardi action of the sandpile group of a ribbon graph on the set of its spanning trees. This potentially depends on a fixed vertex of the grap…
Hypergraph polynomials and the Bernardi process
Tamás Kálmán, Lilla Tóthmérész
Recently O. Bernardi gave a formula for the Tutte polynomial of a graph, based on spanning trees and activities just like the original definition, but using a fixed ribbon…
Clock theorems for triangulated surfaces
Camden Hine, Tamás Kálmán
We investigate triangulations of the two-dimensional sphere and torus with the faces properly colored white and black. We focus on matchings between white triangles and incident ve…