Feb 1, 1994 · A forest cover of a graph is a spanning forest for which each component has at least two nodes. IfK is a subset of nodes, aK-forest cover is ...
We show that the weighted two matroid intersection algorithm determines the maximum cost K-forest cover. Keywords: Matroids; Forests; Covers; Matchings. 1.
Dec 9, 2017 · If you have two forests A and B, and |A|<|B|, then B will have fewer connected components than A, and so will have an edge e joining two components of A.
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This paper presents improved algorithms for matroid partitioning problems, such as finding a maximum cardinality set of edges of a graph that can be partitioned ...
A parallel swap (if needed) then transforms T/ into a triangulation that contains the vertex triples of v1,v2 and v3; this must be the vertex triangulation.
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Matroid union theorem gives polynomial-time algorithms to find a maximum number of edge- disjoint spanning trees in a given graph. We have also seen Nash- ...
In combinatorial optimization, the matroid parity problem is a problem of finding the largest independent set of paired elements in a matroid.
Oct 12, 2004 · A spanning forest of G = (V,E) with c components has precisely |V | − c edges. Theorem 3. If G is a non-empty simple graph, then MG is a matroid ...
Show how to model the arborescences rooted at r using the intersection of two matroids. Solution. (i) intersection of forest matroid and partition matroid.
Oct 23, 2014 · When applied to forests, this is exactly Kruskal's algorithm! But in fact it generalizes: the greedy algorithm is optimal on any matroid.