3 citations · 5 across the 4 of their papers we have counts for
8 papers
Mixed partition functions and exponentially bounded edge-connection rank
Guus Regts, Bart Sevenster
We study graph parameters whose associated edge-connection matrices have exponentially bounded rank growth. Our main result is an explicit construction of a large class of graph pa…
On the circular chromatic number of a subgraph of the Kneser graph
Bart Litjens, Sven Polak, Bart Sevenster +1
Let be positive integers with and . Consider a circle with~ points~ in clockwise order. The -stable \emph{interlacing graph} $\t…
Partition functions and a generalized coloring-flow duality for embedded graphs
Bart Litjens, Bart Sevenster
Let be a finite group and a class function. Let be a directed graph with for each vertex a cyclic order of the edges incident to it. T…
Enumerative Aspects of Nullstellensatz Certificates
Bart Sevenster, Jacob Turner
Using polynomial equations to model combinatorial problems has been a popular tool both in computational combinatorics as well as an approach to proving new theorems. In this paper…
Graph parameters from symplectic group invariants
Guus Regts, Bart Sevenster
In this paper we introduce, and characterize, a class of graph parameters obtained from tensor invariants of the symplectic group. These parameters are similar to partition functio…
The Strong Arnold Property for 4-connected flat graphs
Alexander Schrijver, Bart Sevenster
We show that if is a 4-connected flat graph, then any real symmetric matrix with exactly one negative eigenvalue and satisfying, for any two distinct vert…
On the existence of real R-matrices for virtual link invariants
Guus Regts, Alexander Schrijver, Bart Sevenster
We characterize the virtual link invariants that can be described as partition function of a real-valued R-matrix, by being weakly reflection positive. Weak reflection positivity i…
On partition functions for 3-graphs
Guus Regts, Alexander Schrijver, Bart Sevenster
A {\em cyclic graph} is a graph with at each vertex a cyclic order of the edges incident with it specified. We characterize which real-valued functions on the collection of cubic c…