On Minimum Maximal Distance-k Matchings
نویسندگان
چکیده
منابع مشابه
On Minimum Maximal Distance-k Matchings
We study the computational complexity of several problems connected with the problems of finding a maximal distance-k matching of minimum cardinality or minimum weight. We introduce the class of k-equimatchable graphs which is an edge analogue of k-equipackable graphs. We prove that the recognition of k-equimatchable graphs is co-NP-complete for any fixed k ≥ 2. We provide a simple characteriza...
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We present a collection of new structural, algorithmic, and complexity results for two types of matching problems. The first problem involves the computation of k-maximal matchings, where a matching is k-maximal if it admits no augmenting path with ≤ 2k vertices. The second involves finding a maximal set of vertices that is matchable — comprising one side of the edges in some matching. Among ou...
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In this paper, we study lower bounds on the size of maximal and maximum matchings in 3-connected planar graphs and graphs with bounded maximum degree. For each class, we give a lower bound on the size of matchings, and show that the bound is tight for some graph within the class. 1 Research supported by NSERC. 2 Research supported by NSF grant ACR-0222920. Preprint submitted to Elsevier Science...
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ژورنال
عنوان ژورنال: Electronic Notes in Discrete Mathematics
سال: 2016
ISSN: 1571-0653
DOI: 10.1016/j.endm.2016.11.011