Erdős–Ko–Rado Theorems: Algebraic Approaches

From MaRDI portal
Publication:3453101

DOI10.1017/CBO9781316414958zbMath1343.05002OpenAlexW2290756947MaRDI QIDQ3453101

Karen Meagher, Chris D. Godsil

Publication date: 20 November 2015

Full work available at URL: https://doi.org/10.1017/cbo9781316414958




Related Items (97)

Gauss sums and the maximum cliques in generalized Paley graphs of square orderErdős-Ko-Rado theorems for ovoidal circle geometries and polynomials over finite fieldsAn Erdős-Ko-Rado theorem for finite 2-transitive groupsThin distance-regular graphs with classical parameters \((D, q, q, \frac{q^t-1}{q-1}-1)\) with \(t> D\) are the Grassmann graphsCombinatorics in the exterior algebra and the Bollobás Two Families TheoremAlgebras, graphs and thetasInverse problems of the Erdős-Ko-Rado type theorems for families of vector spaces and permutationsThe Katona cycle proof of the Erdős-Ko-Rado theorem and its possibilitiesEigenvalues of the matching derangement graphIntersection density of transitive groups of certain degreesBoolean degree 1 functions on some classical association schemesEigenvalues of Cayley graphsSome Erdös-Ko-Rado results for linear and affine groups of degree twoUpper bounds for \(s\)-distance sets and equiangular linesErdős-Ko-Rado sets of flags of finite setsOn the spectrum of the perfect matching derangement graphAn algebraic approach to Erdős-Ko-Rado sets of flags in spherical buildingsVan Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fieldsGraphs whose Kronecker covers are bipartite Kneser graphsAn EKR-theorem for finite buildings of type \(D_{\ell }\)On intersecting families of independent sets in treesThe spectral radii of intersecting uniform hypergraphsAn Erdős-Ko-Rado theorem for finite buildings of type \(F_4\)A semidefinite programming approach to a cross-intersection problem with measuresAn extension of the Erdős-Ko-Rado theorem to set-wise 2-intersecting families of perfect matchingsAn algebraic groups perspective on Erdős–Ko–RadoThe perfect matching association schemeThe unique coclique extension property for apartments of buildingsThe core of a complementary prismThere is no going back: properties of the non-backtracking LaplacianGraph homomorphisms via vector coloringsOn t-Intersecting Hypergraphs with Minimum Positive CodegreesHarmonic polynomials on perfect matchingsThe core of a vertex-transitive complementary prismOn the 430-cap of \(\mathrm{PG}(6,4)\) having two intersection sizes with respect to hyperplanesThe \(q\)-analogue of zero forcing for certain families of graphsSynchronising primitive groups of diagonal type existHilton-Milner results in projective and affine spacesTwo conjectured strengthenings of Turán's theoremOn the flip graphs on perfect matchings of complete graphs and signed reversal graphsIntersection theorems for finite general linear groupsAn extension of the Erdős-Ko-Rado theorem to uniform set partitionsIntegral graphs obtained by dual Seidel switchingGraphical designs and extremal combinatoricsImproved lower bounds on the extrema of eigenvalues of graphsConic linear optimization for computer-assisted proofs. Abstracts from the workshop held April 10--16, 2022Separating rank 3 graphsOn the intersection density of the symmetric group acting on uniform subsets of small sizeOn eigenfunctions and maximal cliques of generalised Paley graphs of square orderStrongly cospectral vertices in normal Cayley graphsNew eigenvalue bound for the fractional chromatic numberOn the intersection density of the Kneser graph \(K(n, 3)\)Combinatorial designs, difference sets, and bent functions as perfect colorings of graphs and multigraphsHigh dimensional Hoffman bound and applications in extremal combinatoricsNonassociativity of the Norton algebras of some distance regular graphsIndependence number of products of Kneser graphsWeakly Hadamard diagonalizable graphsErdős-Ko-Rado theorem, Grassmann graphs and \(p^s\)-Kneser graphs for vector spaces over a residue class ringThe Erdős-Ko-Rado theorem for 2-intersecting families of perfect matchingsAn Erdős-Ko-Rado theorem for the group \(\mathrm{PSU}(3, q)\)The Erdős-Ko-Rado theorem for 2-pointwise and 2-setwise intersecting permutationsSpectral linear matrix inequalitiesNew injective proofs of the Erdős-Ko-Rado and Hilton-Milner theoremsStability for 1-intersecting families of perfect matchingsOn the clique number of a strongly regular graphMiklós-Manickam-Singhi conjectures on partial geometriesAn inertial lower bound for the chromatic number of a graphCameron-Liebler sets of \(k\)-spaces in \(\mathrm{PG}(n,q)\)The Erdős-Ko-Rado theorem for the derangement graph of the projective general linear group acting on the projective spaceThe second eigenvalue of some normal Cayley graphs of highly transitive groupsAll 2-transitive groups have the EKR-module propertyThe \(p\)-restricted edge-connectivity of Kneser graphsEndomorphisms of quadratic forms graph in characteristic twoErdős-Ko-Rado theorems on the weak Bruhat lattice3-setwise intersecting families of the symmetric groupThe toughness of Kneser graphsRecent progress on graphs with fixed smallest adjacency eigenvalue: a surveyInvitation to intersection problems for finite setsA distributed computing perspective of unconditionally secure information transmission in Russian cards problemsSome observations on the smallest adjacency eigenvalue of a graphOn non-optimally expanding sets in Grassmann graphsCirculant association schemes on triplesThe EKR property for flag pure simplicial complexes without boundaryA distributed computing perspective of unconditionally secure information transmission in Russian cards problemsErdős-Ko-Rado theorem for matrices over residue class ringsUnnamed ItemUsing the existence of \(t\)-designs to prove Erdős-Ko-RadoRegular intersecting familiesOn the \(P_3\)-hull numbers of \(q\)-Kneser graphs and Grassmann graphsDual bounds for the positive definite functions approach to mutually unbiased basesOn complete multipartite derangement graphsAlternating sign property of the perfect matching derangement graphOn the intersection density of primitive groups of degree a product of two odd primesOn state transfer in Cayley graphs for abelian groupsThe EKR-module property of pseudo-Paley graphs of square orderOn the eigenvalues of Grassmann graphs, bilinear forms graphs and Hermitian forms graphsHomogeneous coherent configurations from spherical buildings and other edge-coloured graphs




This page was built for publication: Erdős–Ko–Rado Theorems: Algebraic Approaches