Title
On Graphs with Induced Matching Number Almost Equal to Matching Number
Abstract
Kobler and Rotics in 2003, and Cameron and Walker in 2005, gave a complete structural description of the graphs G where the matching number ν(G) equals the induced matching number ν2(G). We study their result and use it to analyse graphs G with ν(G)−ν2(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.endm.2015.07.003
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
induced matching,strong matching,fixed parameter tractability
Discrete mathematics,Graph,Combinatorics,Parameterized complexity,Indifference graph,Chordal graph,Degree (graph theory),Time complexity,3-dimensional matching,Mathematics,Bounded function
Journal
Volume
ISSN
Citations 
50
1571-0653
0
PageRank 
References 
Authors
0.34
7
5
Name
Order
Citations
PageRank
Márcio Antônio Duarte100.68
Felix Joos23711.20
Lucia Draque Penso319620.46
Dieter Rautenbach4946138.87
Uéverton S. Souza52021.12