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Abstract
We give a canonical partition of shifted intersecting set systems, from which
one can obtain unified and elementary proofs of the Erdős–Ko–Rado and
Hilton–Milner theorems, as well as a characterization of maximal shifted
k n
Keywords
shifted intersecting set systems, $k$-uniform,
Erdős–Ko–Rado theorem, Hilton–Milner theorem
Mathematical Subject Classification
Primary: 05D05
Milestones
Received: 24 August 2022
Revised: 7 October 2022
Accepted: 28 October 2022
Published: 29 March 2023
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Publishers).
