Results 21 to 30 of about 569 (30)

Koszul binomial edge ideals

, 2013
It is shown that if the binomial edge ideal of a graph $G$ defines a Koszul algebra, then $G$ must be chordal and claw free.
A. Conca, A. Rauf, G.A. Dirac, H. Ohsugi, H. Ohsugi, J. Backelin, J. Herzog, J. Tate, J.E. Roos, K. Matsuda, L.L. Avramov, L.L. Avramov, M. Crupi, M. Ohtani, T.H. Gulliksen, V. Ene, V. Ene   +16 more
core   +1 more source

Rank Bounded Hibi Subrings for Planar Distributive Lattices [PDF]

, 2019
Let $L$ be a distributive lattice and $R[L]$ the associated Hibi ring. We show that if $L$ is planar, then any bounded Hibi subring of $R[L]$ has a quadratic Gr\"obner basis.
Irfan, Rida, Shoukat, Nadia
core   +2 more sources

The structure of Deitmar Schemes, II. Zeta functions and automorphism groups [PDF]

, 2016
We provide a coherent overview of a number of recent results obtained by the authors in the theory of schemes defined over the field with one element.
Merida-Angulo, Manuel, Thas, Koen
core   +1 more source

Stanley's Major Contributions to Ehrhart Theory

, 2015
This expository paper features a few highlights of Richard Stanley's extensive work in Ehrhart theory, the study of integer-point enumeration in rational polyhedra.
Beck, Matthias
core   +1 more source

The Golod property for Stanley-Reisner rings in varying characteristic

, 2016
We show that the Golod property of a Stanley-Reisner ring can depend on the characteristic of the base field. More precisely, for every finite set $T$ of prime numbers we construct simplicial complexes $\Delta$ and $\Gamma$, such that $\mathbb{K}[\Delta]$
Katthän, Lukas
core   +1 more source

The regularity of binomial edge ideals of graphs [PDF]

, 2013
We prove two recent conjectures on some upper bounds for the Castelnuovo-Mumford regularity of the binomial edge ideals of some different classes of graphs.
Dariush Kiani, Saeedi Madani, Sara
core  

Pure simplicial complexes and well-covered graphs [PDF]

, 2012
A graph $G$ is called well-covered if all maximal independent sets of vertices have the same cardinality. A simplicial complex $\Delta$ is called pure if all of its facets have the same cardinality.
Zaare-Nahandi, Rashid
core  

Cayley sums and Minkowski sums of $2$-convex-normal lattice polytopes

, 2019
In this paper, we discuss the integer decomposition property for Cayley sums and Minkowski sums of lattice polytopes. In fact, we characterize when Cayley sums have the integer decomposition property in terms of Minkowski sums.
Tsuchiya, Akiyoshi
core  

Vertex covers and sensor networks

, 2012
We consider algebraic developments of graph theory through suitable applications in real connection problems. We investigate ideals of vertex covers for the edge ideals associated to a significative class of connected graphs.
Imbesi, Maurizio, La Barbiera, Monica
core  

Theta functions, broken lines and 2-marked log Gromov-Witten invariants. [PDF]

Manuscr Math
Gräfnitz T.
europepmc   +1 more source