Bibliographic Details
| Title: |
An algebraic approach to Erdős-Ko-Rado sets of flags in spherical buildings II. |
| Authors: |
De Beule, Jan1 (AUTHOR) jan.de.beule@vub.be, Mattheus, Sam1 (AUTHOR) sam.mattheus@vub.be, Metsch, Klaus2 (AUTHOR) klaus.metsch@math.uni-giessen.de |
| Source: |
Linear Algebra & its Applications. May2026, Vol. 737, p227-262. 36p. |
| Subjects: |
Algebraic combinatorics, Combinatorics, Graph theory, Invariant subspaces, Algebra |
| Abstract: |
We continue our investigation of Erdős-Ko-Rado (EKR) sets of flags in spherical buildings. In previous work, we used the theory of buildings and Iwahori-Hecke algebras to obtain upper bounds on their size. As the next step towards the classification of the maximal EKR-sets, we describe the eigenspaces for the smallest eigenvalue of the opposition graphs. We determine their multiplicity and provide a combinatorial description of spanning sets of these subspaces, from which a complete description of the maximal Erdős-Ko-Rado sets of flags may potentially be found. This was recently shown to be possible for type A n , n odd, by Heering, Lansdown, and the last author by making use of the current work. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
