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COMBINATORICS
2007

Maximum Cardinality 1-Restricted Simple 2-Matchings

14 years 18 hour ago
Maximum Cardinality 1-Restricted Simple 2-Matchings
A simple 2-matching in a graph is a subgraph all of whose nodes have degree 1 or 2. A simple 2-matching is called k-restricted if every connected component has > k edges. We consider the problem of finding a k-restricted simple 2-matching with a maximum number of edges, which is a relaxation of the problem of finding a Hamilton cycle in a graph. Our main result is a min-max theorem for the maximum number of edges in a 1-restricted simple 2-matching. We prove this result constructively by presenting a polynomial time algorithm for finding a 1-restricted simple 2-matching with a maximum number of edges.
David Hartvigsen
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2007
Where COMBINATORICS
Authors David Hartvigsen
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