29 citations · 154 across the 72 of their papers we have counts for
6 papers · 1 filter
The Chromatic Polynomials of Signed Petersen Graphs
Matthias Beck, Erika Meza, Bryan Nevarez +2
Zaslavsky proved in 2012 that, up to switching isomorphism, there are six different signed Petersen graphs and that they could be told apart by their chromatic polynomials, by show…
Rademacher-Carlitz Polynomials
Matthias Beck, Florian Kohl
We introduce and study the \emph{Rademacher-Carlitz polynomial} \[ \RC(u, v, s, t, a, b) := \sum_{k = \lceil s \rceil}^{\lceil s \rceil + b - 1} u^{\fl{\frac{ka + t}{b}}} v^k \] wh…
Very ample and Koszul segmental fibrations
Matthias Beck, Jessica Delgado, Joseph Gubeladze +1
In the hierarchy of structural sophistication for lattice polytopes, normal polytopes mark a point of origin; very ample and Koszul polytopes occupy bottom and top spots in this hi…
Bipartite graphs are weak antimagic
Matthias Beck, Michael Jackanich
The \emph{Antimagic Graph Conjecture} asserts that every connected graph except admits an edge labeling such that each label is used exactly onc…
Nowhere-Zero -Flows on Graphs
Matthias Beck, Alyssa Cuyjet, Gordon Rojas Kirby +2
We introduce and study a multivariate function that counts nowhere-zero flows on a graph G, in which each edge of G has an individual capacity. We prove that the associated countin…
Relations for Bernoulli--Barnes Numbers and Barnes Zeta Functions
Abdelmejid Bayad, Matthias Beck
The \emph{Barnes -function} is \[ ζ_n (z, x; \a) := \sum_{\m \in \Z_{\ge 0}^n} \frac{1}{\left(x + m_1 a_1 + \dots + m_n a_n \right)^z} \] defined for and $\Re(z) >…