Erdős-Ko-Rado theorem for matrices over residue class rings
DOI10.1007/s00373-021-02371-0zbMath1479.05344OpenAlexW3187480245MaRDI QIDQ2053711
Publication date: 30 November 2021
Published in: Graphs and Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00373-021-02371-0
Erdős-Ko-Rado theoremindependence numberchromatic numberclique numberresidue class ringbilinear forms graph
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Extremal set theory (05D05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Coloring of graphs and hypergraphs (05C15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)
Cites Work
- An Erdős-Ko-Rado theorem for the group \(\mathrm{PSU}(3, q)\)
- The exact bound in the Erdős-Ko-Rado theorem
- The Erdős-Ko-Rado theorem for vector spaces
- An analogue of the Erdős-Ko-Rado theorem for the distance-regular graphs of bilinear forms
- Characterization of intersecting families of maximum size in \(\mathrm{PSL}(2,q)\)
- Generalized bilinear forms graphs and MRD codes over a residue class ring
- Anzahl theorems of matrices over the residue class ring modulo \(p^sq^{t}\) and their applications
- Bilinear forms graphs over residue class rings
- Theorems of Erdős-Ko-Rado type in polar spaces
- Classification of subsets with minimal width and dual width in Grassmann, bilinear forms and dual polar graphs
- INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- Erdős–Ko–Rado Theorems: Algebraic Approaches
- Direct Products of Cyclic Groups
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