Two algorithms for matroids
β Scribed by Bradley Hull
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 962 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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Efficient algorithms for the matroid intersection problem, both cardinality and weighted versions, are presented. The algorithm for weighted intersection works by scaling the weights. The cardinality algorithm is a special case, but takes advantage of greater structure. Efficiency of the algorithms
Ε½ 3 . Colbourn, Day, and Nel developed the first algorithm requiring at most O n Ε½ arithmetic operations for ranking and unranking spanning trees of a graph n is the . number of vertices of the graph . We present two algorithms for the more general problem of ranking and unranking rooted spanning ar