Graphs in which some and every maximum matching is uniquely restricted
نویسندگان
چکیده
منابع مشابه
Determining All Maximum Uniquely Restricted Matching in Bipartite Graphs
The approach mapping from a matching of bipartite graphs to digraphs has been successfully used for forcing set problem, in this paper, it is extended to uniquely restricted matching problem. We show to determine a uniquely restricted matching in a bipartite graph is equivalent to recognition a acyclic digraph. Based on these results, it proves that determine the bipartite graphs with all maxim...
متن کاملComputing Maximum Uniquely Restricted Matchings in Restricted Interval Graphs
A uniquely restricted matching is defined to be a matching M whose matched vertices induces a sub-graph which has only one perfect matching. In this paper, we make progress on the open question of the status of this problem on interval graphs (graphs obtained as the intersection graph of intervals on a line). We give an algorithm to compute maximum cardinality uniquely restricted matchings on c...
متن کاملLocal maximum stable sets in bipartite graphs with uniquely restricted maximum matchings
A maximum stable set in a graph G is a stable set of maximum size. S is a local maximum stable set of G, and we write S ∈0(G), if S is a maximum stable set of the subgraph spanned by S ∪ N (S), where N (S) is the neighborhood of S. A matching M is uniquely restricted if its saturated vertices induce a subgraph which has a unique perfect matching, namely M itself. Nemhauser and Trotter Jr. (Math...
متن کاملUniquely Restricted Matchings in Interval Graphs
A matching M in a graph G is said to be uniquely restricted if there is no other matching in G that matches the same set of vertices as M . We describe a polynomial-time algorithm to compute a maximum cardinality uniquely restricted matching in an interval graph, thereby answering a question of Golumbic et al. (“Uniquely restricted matchings”, M. C. Golumbic, T. Hirst and M. Lewenstein, Algorit...
متن کاملModules for which every non-cosingular submodule is a summand
A module $M$ is lifting if and only if $M$ is amply supplemented and every coclosed submodule of $M$ is a direct summand. In this paper, we are interested in a generalization of lifting modules by removing the condition"amply supplemented" and just focus on modules such that every non-cosingular submodule of them is a summand. We call these modules NS. We investigate some gen...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2018
ISSN: 0364-9024
DOI: 10.1002/jgt.22239