Results 71 to 80 of about 26,723 (134)
Graphs with few 3-cliques and 3-anticliques are 3-universal [PDF]
For given integers k, l we ask whether every large graph with a sufficiently small number of k-cliques and k-anticliques must contain an induced copy of every l-vertex graph. Here we prove this claim for k=l=3 with a sharp bound.
Linial, Nati, Morgenstern, Avraham
core +2 more sources
The Mixing Time for a Random Walk on the Symmetric Group Generated by Random Involutions [PDF]
The involution walk is a random walk on the symmetric group generated by involutions with a number of 2-cycles sampled from the binomial distribution with parameter p.
Megan Bernstein
doaj +1 more source
The history of the Gothenburg--Reykjavík--Strathclyde combinatorics group
: This is an overview of the history of the combinatorics group that was born in Gothenburg, Sweden, in the late 1990s and then lived in Reykjav´ık, Iceland, and now in Glasgow, Scotland.
E. Steingrímsson
semanticscholar +1 more source
Order Filter Model for Minuscule Plücker Relations [PDF]
The Plücker relations which define the Grassmann manifolds as projective varieties are well known. Grass-mann manifolds are examples of minuscule flag manifolds.
David C Lax
doaj +1 more source
A bijection for nonorientable general maps [PDF]
We give a different presentation of a recent bijection due to Chapuy and Dołe ̨ga for nonorientable bipartite quadrangulations and we extend it to the case of nonorientable general maps.
Jérémie Bettinelli
doaj +1 more source
Quasi-isomorphisms of cluster algebras and the combinatorics of webs (extended abstract) [PDF]
We provide bijections between the cluster variables (and clusters) in two families of cluster algebras which have received considerable attention. These cluster algebras are the ones associated with certain Grassmannians of k-planes, and those associated
Chris Fraser
doaj +1 more source
Categorifying the tensor product of the Kirillov-Reshetikhin crystal B1,1 and a fundamental crystal [PDF]
We use Khovanov-Lauda-Rouquier (KLR) algebras to categorify a crystal isomorphism between a funda-mental crystal and the tensor product of a Kirillov-Reshetikhin crystal and another fundamental crystal, all in affine type.
Henry Kvinge, Monica Vazirani
doaj +1 more source
Rational Dyck Paths in the Non Relatively Prime Case [PDF]
We study the relationship between rational slope Dyck paths and invariant subsets in Z, extending the work of the first two authors in the relatively prime case.
Eugene Gorsky+2 more
doaj +1 more source
Some open problems on permutation patterns [PDF]
This is a brief survey of some open problems on permutation patterns, with an emphasis on subjects not covered in the recent book by Kitaev, \emph{Patterns in Permutations and words}.
Steingrimsson, Einar
core +1 more source
Polytopal Bier spheres and Kantorovich-Rubinstein polytopes of weighted cycles
The problem of deciding if a given triangulation of a sphere can be realized as the boundary sphere of a simplicial, convex polytope is known as the "Simplicial Steinitz problem".
Jevtić, Filip D.+2 more
core +1 more source