From the 1 of 3 linked papers with an AI index.
5 papers · 1 filter
A note on the chromatic number of Kneser graphs on chambers of projective planes and incidence-free sets
Philipp Heering, Klaus Metsch, Vladislav Taranchuk +1
The paper provides an elementary proof of a perfect matching in the incidence graph of a symmetric design, links the chromatic number of Kneser graphs on projective‑plane chambers…
A Completion Result for Partial Affine and Inversive Spaces
Cassie Grace, Klaus Metsch, Geertrui Van de Voorde
A partial affine plane of order is a point-line incidence structure with points and points on each line, such that every two lines meet in at most one point. In this…
The largest sets of non-opposite chambers in spherical buildings of type
Jan De Beule, Philipp Heering, Sam Mattheus +1
The investigation into large families of non-opposite flags in finite spherical buildings has been a recent addition to a long line of research in extremal combinatorics, extending…
An algebraic approach to ErdÅs-Ko-Rado sets of flags in spherical buildings II
Jan De Beule, Sam Mattheus, Klaus Metsch
We continue our investigation of ErdÅs-Ko-Rado (EKR) sets of flags in spherical buildings. In previous work, we used the theory of buildings and Iwahori-Hecke algebras to obtain u…
Maximum ErdÅs-Ko-Rado sets of chambers and their antidesigns in vector-spaces of even dimension
Philipp Heering, Jesse Lansdown, Klaus Metsch
A chamber of the vector space is a set of subspaces of where and $\dim(S_i)…