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Matroid intersection

In combinatorial optimization, the matroid intersection problem is to find a largest common independent set in two matroids over the same ground set… 
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Papers overview

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2016
2016
The fundamental result of Edmonds [5] started the area of packing arborescences and the great number of recent results shows… 
2015
2015
  • Jinyu Huang
  • 2015
  • Corpus ID: 33366516
A maximum linear matroid parity set is called a basic matroid parity set, if its size is the rank of the matroid. We show that… 
2012
2012
  • Jinyu Huang
  • 2012
  • Corpus ID: 16396326
Let two linear matroids have the same rank in matroid intersection. A maximum linear matroid intersection (maximum linear matroid… 
2012
2012
We consider four weighted matching-type problems: the bipartite graph and general graph versions of matching and f -factors. The… 
2011
2011
Let G = (V,E) be an undirected graph with a weight function and a cost function on edges. The bicriteria minimum spanning tree… 
2011
2011
One nice feature about matroids is that a simple greedy algorithm allows to optimize over its independent sets or over its bases… 
2010
2010
We consider the number of queries needed to solve the matroid intersection problem, a question raised by Welsh (1976). Given two… 
2006
2006
This paper extends the Held-Karp's lower bound available for a single Travelling Salesman Problem to the following symmetric… 
1984
1984
Matroid intersection problems are considered in which one of the matroids is a partition matroid specifying that exactly q… 
1983
1983
Given two matroids M1 = (S, 1 1 ) and M2 = (S, 12) and a weight function s on S, the weighted matroid intersection problem is to…