Packing in a hypergraph information

In mathematics, a packing in a hypergraph is a partition of the set of the hypergraph's edges into a number of disjoint subsets such that no pair of edges...

In graph theory, a matching in a hypergraph is a set of hyperedges, in which every two hyperedges are disjoint. It is an extension of the notion of matching...

Asymptopia, with Laura Florescu, American Mathematical Society, 2014. Packing in a hypergraph Joel Spencer at the Mathematics Genealogy Project "Putnam Competition...

of d. This is also true for the weighted version. Hypergraph matching is equivalent to set packing: the sets correspond to the hyperedges. The independent...

Discrepancy of hypergraphs is an area of discrepancy theory. In the classical setting, we aim at partitioning the vertices of a hypergraph H = ( V , E )...

problem of 3-dimensional matching in a hypergraph). Abraham, Blum and Sandholm present two techniques for maximum cycle packing: column generation and constraint...

caratheodory theorem in the previous section. For a general r-uniform hypergraph (admitting a perfect matching of size n), the vectors 1e live in a (rn)-dimensional...

mathematics) In combinatorics, tripod packing is a problem of finding many disjoint tripods in a three-dimensional grid, where a tripod is an infinite polycube...

promoted to full professor in 2004. Haxell's research accomplishments include results on the Szemerédi regularity lemma, hypergraph generalizations of Hall's...

example above. In turn, the incidence matrix can be seen also as describing a hypergraph. The hypergraph includes one node for each element in X and one edge...

Venkatesan; Khot, Subhash; Regev, Oded (2003), A new multilayered PCP and the hardness of hypergraph vertex cover, Association for Computing Machinery...

Vertex cover problems have been generalized to hypergraphs, see Vertex cover in hypergraphs. Formally, a vertex cover V ′ {\displaystyle V'} of an undirected...

graph theory, hypergraphs, algebraic topology, and probabilistic couplings. Nonlocality, in the sense of Bell's theorem, may be viewed as a special case...

size and minimum transversal size in hypergraphs The second neighborhood problem: does every oriented graph contain a vertex for which there are at least...

The same notion can be applied to hypergraphs to define "laminar hypergraphs" as those whose set of hyperedges forms a laminar set family. Cheriyan, Joseph;...

Helly family Hypergeometric function identities Hypergeometric series Hypergraph Incidence structure Induction puzzles Integer partition Ferrers graph...

Set packing, the problem of finding the largest disjoint subfamily of a family of sets Halmos, P. R. (1960), Naive Set Theory, Undergraduate Texts in Mathematics...

hitting set, can be described as a vertex cover in a hypergraph. Decomposition, defined as partitioning the edge set of a graph (with as many vertices as...

Ströhlein in 1976. They formalized the timetable construction problem, and indicated an iterative process using logical matrices and hypergraphs to obtain a solution...

January 2019 to the current date, he was given a grant for "Approximate structure in large graphs and hypergraphs." With an education stemming back From the...

configurations of geometric shapes Graph theory and hypergraphs Coding theory, including error correcting codes and a part of cryptography Matroid theory Discrete...

algorithm hybrid algorithm hyperedge hypergraph Identity function ideal merge implication implies implicit data structure in-branching inclusion–exclusion principle...

concerning the 1-factorization of complete hypergraphs. One method for constructing a 1-factorization of a complete graph on an even number of vertices...