Title
Maximum induced matchings close to maximum matchings
Abstract
Extending results of Kobler and Rotics (2003), Cameron and Walker (2005) gave a complete structural description of the graphs G where the matching number ¿ ( G ) equals the induced matching number ¿ 2 ( G ) . We present a short proof of their result and use it to study graphs G with ¿ ( G ) - ¿ 2 ( G ) ¿ k . We show that the recognition of these graphs can be done in polynomial time for fixed k, and is fixed parameter tractable when parameterized by k for graphs of bounded maximum degree.
Year
DOI
Venue
2015
10.1016/j.tcs.2015.04.001
Theoretical Computer Science
Keywords
Field
DocType
Induced matching,Strong matching,Fixed parameter tractability
Discrete mathematics,Graph,Parameterized complexity,Combinatorics,Degree (graph theory),Time complexity,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
588
C
0304-3975
Citations 
PageRank 
References 
3
0.39
6
Authors
5
Name
Order
Citations
PageRank
Márcio Antônio Duarte130.39
Felix Joos23711.20
Lucia Draque Penso319620.46
Dieter Rautenbach4946138.87
Uéverton S. Souza52021.12