## Mercurial > repos > shellac > sam_consensus_v3

### view env/lib/python3.9/site-packages/networkx/algorithms/approximation/matching.py @ 0:4f3585e2f14b draft default tip

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"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"

author | shellac |
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date | Mon, 22 Mar 2021 18:12:50 +0000 |

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""" ************** Graph Matching ************** Given a graph G = (V,E), a matching M in G is a set of pairwise non-adjacent edges; that is, no two edges share a common vertex. `Wikipedia: Matching <https://en.wikipedia.org/wiki/Matching_(graph_theory)>`_ """ import networkx as nx __all__ = ["min_maximal_matching"] def min_maximal_matching(G): r"""Returns the minimum maximal matching of G. That is, out of all maximal matchings of the graph G, the smallest is returned. Parameters ---------- G : NetworkX graph Undirected graph Returns ------- min_maximal_matching : set Returns a set of edges such that no two edges share a common endpoint and every edge not in the set shares some common endpoint in the set. Cardinality will be 2*OPT in the worst case. Notes ----- The algorithm computes an approximate solution fo the minimum maximal cardinality matching problem. The solution is no more than 2 * OPT in size. Runtime is $O(|E|)$. References ---------- .. [1] Vazirani, Vijay Approximation Algorithms (2001) """ return nx.maximal_matching(G)