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Theoretical Computer Science, ISSN 0304-3975, 07/2015, Volume 588, pp. 131 - 137
Extending results of Kobler and Rotics (2003), Cameron and Walker (2005) gave a complete structural description of the graphs G where the matching number ν(G)... 
Strong matching | Induced matching | Fixed parameter tractability | COMPUTER SCIENCE, THEORY & METHODS | SIZE | GRAPHS | Matching | Graphs | Polynomials | Recognition | Proving
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 07/2018, Volume 243, pp. 304 - 310
An induced matching is a matching where no two edges are connected by a third edge. Finding a maximum induced matching on graphs with maximum degree Δ, for... 
Maximum induced matching | Approximation algorithms | MATHEMATICS, APPLIED | MAXIMUM INDUCED MATCHINGS | APPROXIMABILITY | SIZE | SUBCUBIC GRAPHS | BIPARTITE GRAPHS | Algorithms
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 04/2018, Volume 239, pp. 38 - 44
A matching M in a graph G is r-degenerate if the subgraph of G induced by the set of vertices incident with an edge in M is r-degenerate. Goddard, Hedetniemi,... 
Matching | Uniquely restricted matching | Acyclic matching | Induced matching | Edge coloring | MATHEMATICS, APPLIED | MAXIMUM INDUCED MATCHINGS | STRONG CHROMATIC INDEX | GRAPHS | Computer Science
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2011, Volume 159, Issue 7, pp. 509 - 520
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 04/2018, Volume 720, pp. 64 - 72
It is an easy observation that a natural greedy approach yields a (d−O(1))-factor approximation algorithm for the maximum induced matching problem in d-regular... 
Local search | Strong matching | Induced matching | COMPUTER SCIENCE, THEORY & METHODS | MAXIMUM INDUCED MATCHINGS | BIPARTITE GRAPHS
Journal Article
PloS one, ISSN 1932-6203, 2018, Volume 13, Issue 10, p. e0206381
Journal Article
Information Processing Letters, ISSN 0020-0190, 08/2017, Volume 124, pp. 26 - 29
As a natural variant of the many decycling notions studied in graphs, we consider the problem to decide whether a given graph G has a matching M such that G−M... 
Matching | Graph algorithms | Feedback vertex set | Decycling | INDUCED TREES | COMPUTER SCIENCE, INFORMATION SYSTEMS | GRAPHS
Journal Article
SIAM Journal on Discrete Mathematics, ISSN 0895-4801, 2014, Volume 28, Issue 1, pp. 468 - 473
We prove that a cubic graph with m edges has an induced matching with at least m/9 edges. Our result generalizes a result for planar graphs due to Kang, Mnich,... 
Strong chromatic index | Strong matching | Induced matching | MATHEMATICS, APPLIED | strong chromatic index | strong matching | induced matching
Journal Article
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 10/2015, Volume 602, pp. 32 - 38
We prove that, for every integer d with d≥3, there is an approximation algorithm for the maximum induced matching problem restricted to {C3,C5}-free d-regular... 
Greedy algorithm | Induced matching | Approximation algorithm | Strong chromatic index | Degenerate graph | COMPUTER SCIENCE, THEORY & METHODS | Management science | Algorithms | Integers | Matching | Approximation | Mathematical analysis | Graphs | Graph theory
Journal Article
Journal of Graph Theory, ISSN 0364-9024, 11/2016, Volume 83, Issue 3, pp. 231 - 250
An induced matching in a graph is a set of edges whose endpoints induce a 1‐regular subgraph. It is known that every n‐vertex graph has at most 10n/5≈1.5849n... 
polynomial delay | maximal induced matchings | combinatorial bounds | extremal graphs | triangle‐free graphs | triangle-free graphs | MATHEMATICS | INDEPENDENT SETS
Journal Article
Journal Article
Discrete Mathematics, ISSN 0012-365X, 08/2018, Volume 341, Issue 8, pp. 2237 - 2242
Finding the maximum number of maximal independent sets in an n-vertex graph G, i(G), from a restricted class is an extensively studied problem. Let kK2 denote... 
Set cover | Induced matching | Transversals | Maximal independent set | Clutter minor | Blocker | Clutter | k-SAT | MATHEMATICS | NUMBER | Transversals Maximal independent set | CLIQUES | MAXIMAL INDEPENDENT SETS | GRAPHS
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 01/2020, Volume 804, pp. 126 - 138
For a matching M in a graph G, let G(M) be the subgraph of G induced by the vertices of G that are incident with an edge in M. The matching M is induced, if... 
Strong matching | Uniquely restricted matching | Induced matching | COMPUTER SCIENCE, THEORY & METHODS
Journal Article