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Example code of motley/hopcroft-karp

Informations about the package hopcroft-karp

HopcroftKarp

PHP implementation of the Hopcroft-Karp algorithm

The Algorithm

The Hopcroft–Karp algorithm is the most efficient way to find a maximum cardinality matching in a bipartite graph.

Think of applicants for jobs, each applicant has skills for a certain sub-set of the jobs, and we need to employ the maximum number of applicants to jobs. Or scheduling appointments for a set of time slots when each person is only available at specific time slots.

The Implementation

Installation

Usage

You have to provide a set of edges describing your biparite graph. The vertex values can be object, string or int. The edge shall be one to many. Example:

The resulting matching object has a few helper methods to inspect it.

Freezing edges

You can pass in a previous matching as an optional argument and the algorithm will try to keep as many edges from it as possible. Example:

Contributions

Issues and pull requests are welcome.

All versions of hopcroft-karp with dependencies

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Requires php Version ^8.1
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