First distribution invariants and EKR theorems

DOI10.1016/0097-3165(88)90077-5zbMath0645.05023OpenAlexW1973107454WikidataQ105583570 ScholiaQ105583570MaRDI QIDQ1102971

Nachimuthu Manickam, Navin M. Singhi

Publication date: 1988

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(88)90077-5

zbMATH Keywords

projective planespreadsubsetssubspacesJohnson scheme

Mathematics Subject Classification ID

Other designs, configurations (05B30) Combinatorial aspects of finite geometries (05B25) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (25)

A new discrete dynamical system of signed integer partitions ⋮ The adjacency matrix of a graph as a data table: a geometric perspective ⋮ Minimum supports of eigenfunctions of graphs: a survey ⋮ MMS-type problems for Johnson scheme ⋮ On a problem concerning the weight functions ⋮ Real subset sums and posets with an involution ⋮ Extremal problems for subset divisors ⋮ The minimum number of nonnegative edges in hypergraphs ⋮ A note on the Manickam-Miklós-Singhi conjecture for vector spaces ⋮ Nonnegative \(k\)-sums, fractional covers, and probability of small deviations ⋮ A remark on the problem of nonnegative \(k\)-subset sums ⋮ Solution of a problem on non-negative subset sums ⋮ On a conjecture of Manickam and Singhi ⋮ A linear programming approach to the Manickam-Miklós-Singhi conjecture ⋮ An improved bound for the Manickam-Miklós-Singhi conjecture ⋮ The Manickam-Miklós-Singhi conjectures for sets and vector spaces ⋮ On the number of nonnegative sums ⋮ New results related to a conjecture of Manickam and Singhi ⋮ Miklós-Manickam-Singhi conjectures on partial geometries ⋮ A note on the Manickam-Miklós-Singhi conjecture ⋮ On the number of nonnegative sums for certain function ⋮ On the number of nonnegative sums for semi-partitions ⋮ A linear bound on the Manickam-Miklós-Singhi conjecture ⋮ A method to count the positive 3-subsets in a set of real numbers with non-negative sum ⋮ Minimum number of edges in a hypergraph guaranteeing a perfect fractional matching and the MMS conjecture

Cites Work

• The first distribution invariant of the Johnson-scheme
• A distribution invariant for association schemes and strongly regular graphs
• The Erdős-Ko-Rado theorem for vector spaces
• Some bounds for the distribution numbers of an association scheme
• Sharp sets of permutations
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