Geodesic
Maximal sets of \(k\)-spaces pairwise intersecting in at least a \((k-2)\)-space
Jozefien D'haeseleer1 ; Giovanni Longobardi2 ; Ago-Erik Riet3 ; Leo Storme1
1Ghent University
2University of Padova
3University of Tartu
The electronic journal of combinatorics, Tome 29 (2022) no. 1
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In this paper, we analyze the structure of maximal sets of $k$-dimensional spaces in $\mathrm{PG}(n,q)$ pairwise intersecting in at least a $(k-2)$-dimensional space, for $3 \leq k\leq n-2$. We give an overview of the largest examples of these sets with size more than $f(k,q)=\max\{3q^4+6q^3+5q^2+q+1,\theta_{k+1}+q^4+2q^3+3q^2\}$.
DOI : 10.37236/10027
Classification : 05D05, 05B25, 51E20
Mots-clés : extremal set theory, Erdős-Ko-Rado theorem, \(q\)-analogue of the Erdős-Ko-Rado problem

Jozefien D'haeseleer  1   ; Giovanni Longobardi  2   ; Ago-Erik Riet  3   ; Leo Storme  1

1 Ghent University
2 University of Padova
3 University of Tartu 
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     author = {Jozefien D'haeseleer and Giovanni  Longobardi and Ago-Erik Riet and Leo Storme},
     title = {Maximal sets of \(k\)-spaces pairwise intersecting in at least a \((k-2)\)-space},
     journal = {The electronic journal of combinatorics},
     year = {2022},
     volume = {29},
     number = {1},
     doi = {10.37236/10027},
     zbl = {1486.05301},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/10027/}
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Jozefien D'haeseleer; Giovanni  Longobardi; Ago-Erik Riet; Leo Storme. Maximal sets of \(k\)-spaces pairwise intersecting in at least a \((k-2)\)-space. The electronic journal of combinatorics, Tome 29 (2022) no. 1. doi: 10.37236/10027

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