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20032025
most citedEnabling Research through the SCIP Optimization Suite 8.0

67 citations

Showing 2017Show all

6 papers · 1 filter

math.OC2017

On the Circuit Diameter of some Combinatorial Polytopes

Sean Kafer, Kanstantsin Pashkovich, Laura Sanità

The combinatorial diameter of a polytope is the maximum value of a shortest path between two vertices of , where the path uses the edges of only. In contrast to the comb…

math.CO2017

The geometry of hyperbolic lines in polar spaces

Hans Cuypers

In this paper we consider partial linear spaces induced on the point set of a polar space, but with as lines the hyperbolic lines of this polar space. We give some geometric charac…

math.GR2017

On some subgroups of linear groups over generated by elements of order

Hans Cuypers

Let be a vector space over the field of order . We investigate subgroups of the linear group which are generated by a conjugacy class of elements of order su…

math.RA2017

A geometric characterization of the classical Lie algebras

Hans Cuypers, Yael Fleischmann

A nonzero element x in a Lie algebra g over a field F with Lie product [ , ] is called a extremal element if [x, [x, g]] is contained in Fx. Long root elements in classical Lie alg…

math.CO20173 cited

Firefighting on trees and Cayley graphs

Florian Lehner

We study Hartnell's firefighter problem on infinite trees and characterise the branching number in terms of the firefighting game. Using our results about trees, we give a partial…

math.NT2017

Binomial collisions and near collisions

Aart Blokhuis, Andries Brouwer, Benne de Weger

We describe efficient algorithms to search for cases in which binomial coefficients are equal or almost equal, give a conjecturally complete list of all cases where two binomial co…