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.
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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.
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.
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 ...
Jul 20, 2024 · We develop a new exact algorithm to solve the matroid interdiction problem. One of the key components of our algorithm is a dynamic programming upper bound.
By setting J = E and solving for k we solve a forest covering problem. Corollary 2 The minimum number of forests needed to cover the edges of a graph G is max{d ...
The interior and exterior activities of bases of a matroid are well-known notions that for instance permit one to define the Tutte polynomial.