Abstract: Binary matching in bipartite graphs and its extensions have been well studied over the decades. A stable matching (or marriage) seeks to establish a stable binary pairing of two genders, ...

Bipartite matching finds the largest set of edges that pair nodes from two disjoint sets without overlap. This project implements the Hopcroft-Karp algorithm, which efficiently finds maximum matchings ...

Abstract: We design, implement, and evaluate algorithms for computing a matching of maximum cardinality in a bipartite graph on multicore and massively multithreaded computers. As computers with ...

We present an Oe(m + n 1.5 )-time randomized algorithm for maximum cardinality bipartite matching and related problems (e.g. transshipment, negative-weight shortest paths, and optimal transport) on ...

This repository provides the implementation of multiple algorithms for finding the top-r influential communities in a bipartite graph. The code includes both accurate and approximate solutions, using ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

This is a preview. Log in through your library . Abstract This paper investigates the group testing problem in graphs as follows. Given a graph G = (V, E), determine the minimum number t(G) such that ...

School of Mathematics and Statistics, Shandong Normal University, Jinan, China. In the next section, a statement of the problem is introduced. Afterwards, the proof of the main results is established.