Definition, Betydelse & Synonymer | Engelska ordet BIPARTITE

Definition av BIPARTITE

1. bipartit; tvådelad

Exempel på hur du använder BIPARTITE i en mening

• An (N, M, D, K, e)-disperser is a bipartite graph with N vertices on the left side, each with degree D, and M vertices on the right side, such that every subset of K vertices on the left side is connected to more than (1 − e)M vertices on the right.
• Complete bipartite graph (or biclique), a special bipartite graph where every vertex on one side of the bipartition is connected to every vertex on the other side.
• The assignment problem consists of finding, in a weighted bipartite graph, a matching of a given size, in which the sum of weights of the edges is minimum.
• The graph theoretic formulation answers whether a finite bipartite graph has a perfect matching—that is, a way to match each vertex from one group uniquely to an adjacent vertex from the other group.
• Perfection of bipartite graphs is easy to see (their chromatic number is two and their maximum clique size is also two) but perfection of the complements of bipartite graphs is less trivial, and is another restatement of Kőnig's theorem.
• In 1973 he and John Hopcroft published the Hopcroft–Karp algorithm, the fastest known method for finding maximum cardinality matchings in bipartite graphs.
• Petri nets use variations on exactly one diagramming technique and topology, namely the bipartite graph.
• The 2006 general election could have marked the end of the bipartite scheme, as the anti-Sandinista forces split into two major political alliances: the Nicaraguan Liberal Alliance (ALN) and the Constitutionalist Liberal Party (PLC).
• The church also disavows plural marriage, and is unique in the Latter Day Saint movement in that it teaches the existence of a bipartite god (God the Father and Jesus Christ), as opposed to the usual three part godhead of Mormonism (God the Father, Jesus Christ, and the Holy Spirit).
• Mantel's result was generalized to -partite graphs and graphs that avoid larger cliques as subgraphs in Turán's theorem, and these two complete bipartite graphs are examples of Turán graphs, the extremal graphs for this more general problem.
• It is also #P-complete to count perfect matchings, even in bipartite graphs, because computing the permanent of an arbitrary 0–1 matrix (another #P-complete problem) is the same as computing the number of perfect matchings in the bipartite graph having the given matrix as its biadjacency matrix.
• The unoriented incidence matrix of a bipartite graph, which is the coefficient matrix for bipartite matching, is totally unimodular (TU).
• He is also known for the Kővári–Sós–Turán theorem bounding the number of edges that can exist in a bipartite graph with certain forbidden subgraphs, and for raising Turán's brick factory problem, namely of determining the crossing number of a complete bipartite graph.
• Perfect graphs include many important graphs classes including bipartite graphs, chordal graphs, and comparability graphs.
• The Meyniel graphs contain the chordal graphs, the parity graphs, and their subclasses the interval graphs, distance-hereditary graphs, bipartite graphs, and line perfect graphs.
• A perfect graph is a graph in which, for every induced subgraph, the size of the maximum clique equals the minimum number of colors in a coloring of the graph; perfect graphs include many well-known graph classes including the bipartite graphs, chordal graphs, and comparability graphs.
• These include the bipartite matroids, in which every circuit is even, and the Eulerian matroids, which can be partitioned into disjoint circuits.
• In an application to fast solvers for Laplacian linear systems, Lee, Peng, and Spielman relied on the existence of bipartite Ramanujan graphs of every degree in order to quickly approximate the complete graph.
• The more general edge list coloring conjecture states that the same holds not only for bipartite graphs, but also for any loopless multigraph.
• Murray was born with a bipartite patella, a condition in which the kneecap remains as two separate bones instead of fusing together in early childhood.

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