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A matching (aka **Independent Edge Set**) in a simple graph is the set of pairwise non-adjacent edges i.e. no two edges have common vertex.

2 votes
1 answer
1k views

Is there such a problem as b-Matching with different b values?

Naturally, a b-Matching problem is to find a set of edges $M \subset E$, such that each node in $L$ and $R$ are adjuscent to maximum $b$ neighbors, and a weight function $w(e), e \in E$ is maximized. … Is is constrained matching, or k-cardinality assignment, or what? I need to find some literature for it. Thanks! …
3 votes
1 answer
2k views

one-to-many matching in bipartite graphs?

I want to map each of the $L$ vertices to one node from $R$ (one-to-many matching), with minimum total edge-costs. …
0 votes
0 answers
27 views

Algorithm for b-matching on bipartite graph [duplicate]

I have a bipartite graph, where I want to assign nodes in Left set to Right set of nodes. There is a "b" constraint, which limits the maximum possible node degrees on the Right set. Since it is a clas …