Erdős-Ko-Rado theorem for vector spaces over residue class rings

DOI10.1142/s0219498824501664zbMATH Open1547.05297MaRDI QIDQ6607141

Jun Guo

Publication date: 18 September 2024

Published in: Journal of Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Erdős-Ko-Rado theoremclique numberresidue class ringGrassmann graph

Mathematics Subject Classification ID

Extremal set theory (05D05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Cites Work

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• 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
• Erdős-Ko-Rado theorem, Grassmann graphs and \(p^s\)-Kneser graphs for vector spaces over a residue class ring
• Erdős-Ko-Rado theorem for matrices 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
• Geometry of Semilinear Embeddings
• Direct Products of Cyclic Groups

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