A diagonal form for the incidence matrices of \(t\)-subsets vs. \(k\)- subsets

From MaRDI portal
Publication:1814091

DOI10.1016/S0195-6698(13)80046-7zbMath0747.05016WikidataQ106164965 ScholiaQ106164965MaRDI QIDQ1814091

Richard M. Wilson

Publication date: 25 June 1992

Published in: European Journal of Combinatorics (Search for Journal in Brave)




Related Items

The Smith group of the hypercube graphSimple Signed Steiner Triple SystemsIntersection Matrices RevisitedLinear independence, a unifying approach to shadow theoremsQuasi-Random Set SystemsShift graphs and lower bounds on Ramsey numbers \(r_ k(l;r)\)Combinatorial \(S_ n\)-modules as codesA note on \(k\)-wise oddtown problemsVector invariants of \(U_ 2(\mathbb{F}_ p)\): A proof of a conjecture of RichmanOn the bases of tradesProbabilistic existence of regular combinatorial structuresOn modular homology in the Boolean algebra. IISome approaches for solving the general (\(t,k\))-design existence problem and other related problemsThe Shifted Partial Derivative Complexity of Elementary Symmetric PolynomialsRobust \(k\)-mer frequency estimation using gapped \(k\)-mersMore on the Wilson \(W_{tk}(v)\) matricesOn the inclusion matrix \(W_{23}(v)\)Odd covers of graphsHarmonic polynomials on perfect matchingsTrivariate monomial complete intersections and plane partitionsOrder shattering and Wilson's theoremInclusion matrices for rainbow subsetsStandard monomials for \(q\)-uniform families and a conjecture of Babai and FranklA group-based structure for perfect sequence covering arraysSmith normal forms of incidence matricesIrreducible tensor products for alternating groups in characteristics 2 and 3Rank of inclusion matrices and modular representation theoryInclusion matrices and chainsAlgebraic Properties of ModuloqComplete ℓ-Wide FamiliesThe effect of edge weights on clique weightsThe critical group of the Kneser graph on 2-subsets of an \(n\)-element setExtending small arcs to large arcsQuasi-random subsets of \(\mathbb{Z}_ n\)Some Combinatorial Applications of Gröbner BasesOn hypergraphs having evenly distributed subhypergraphsThe \(k\)-orbit reconstruction and the orbit algebraStudying designs via multisetsOn modular homology of simplicial complexes: ShellabilityA new proof of a classical theorem in design theorySaturated simplicial complexesTernary trades and their codesTags on subsetsIrreducible restrictions of representations of symmetric groups in small characteristics: reduction theoremsEquality of graphs up to complementationResilience of ranks of higher inclusion matricesThe Smith and critical groups of the square rook's graph and its complementInclusion matrices and the MDS conjectureThe determinants of certain matrices arising from the Boolean latticeCohomological Aspects of HypergraphsInclusion matrix of \(k\) vs. \(l\) affine subspaces and a permutation module of the general affine groupHypomorphy of graphs up to complementationOn 1-factorizations of bipartite Kneser graphsSome properties of a higher-order coboundary operatorEigenvalues and the Smith normal formOn set systems with restricted intersections modulo \(p\) and \(p\)-ary \(t\)-designsAn upper bound for the size of \(s\)-distance sets in real algebraic setsPerfect sequence covering arraysAlgebras related to matroids represented in characteristic zeroThe algebra of flows in graphsRecent progress in algebraic design theoryQuasi-randomness and the distribution of copies of a fixed graphThe invariant factors of the incidence matrices of points and subspaces in 𝑃𝐺(𝑛,𝑞) and 𝐴𝐺(𝑛,𝑞)A note on a conjecture regarding the weak Lefschetz property of a special class of Artinian algebrasThe uniformity space of hypergraphs and its applicationsMoore-Penrose inverse of set inclusion matricesOn the \(p\)-ranks of the adjacency matrices of distance-regular graphsA homological interpretation of certain incidence matrices \(\text{mod }p\)\(L\)-balancing familiesGröbner bases for complete uniform families



Cites Work