Consider a collection C of subsets of a nite set V . (V; C) is called a hypergraph. A hypergraph (V; C) is 3-regular if every su

Question

3 years ago

7

Consider a collection C of subsets of a nite set V . (V; C) is called a hypergraph. A hypergraph (V; C) is 3-regular if every su

bset in C contains exactly three elements. A subcollection M of C is matching if all subsets in M are disjoint. Show that there exists a polynomial-time 3-approximation for the maximum matching problem in 3-regular hypergraphs as follows: Given a 3-regular hypergraph, find a matching with maximum cardinality.

Computers and Technology

1 answer:

kodGreya [7K] · Answer 1 · 2022-05-11T23:12:35+03:00

kodGreya [7K]3 years ago

6 0

Explanation:

polynomial-time 3-approximation for the maximum matching problem in 3-regular hypergraphs as follows: Given a 3-regular hypergraph, find a matching with maximum cardinality.