New problem results: Consecutive Block Minimization
Language: English
Published by Omniscriptum, Our Knowledge Publishing Jun 2025, 2025
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 37.87
Quantity: 2 available
Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - Neuware -In this book, we focus on a special property in a binary matrix, known as the '1-consecutive property'. A consecutive block is a sequence of consecutively located 1s. The problem is to find a permutation of the columns so that the number of consecutive blocks in the induced matrix is minimal. We point out that it is NP-complete for general instances, then we present applications to it, variants and a state of the art. Our first contribution consists in proving that CBM is NP-complete even when the binary matrix has only two 1's per row, by polynomially transforming the maximum-weight Hamiltonian chain problem to CBM restricted to the instances in question.A second contribution consisted in solving the question: is CBM approximable with guarantee The answer was found in the form of a polynomial heuristic that constructs permutations leading to a number of consecutive blocks within 50% of the optimum. 52 pp. Englisch.
Seller Inventory # 9786208992170
- Title
- New problem results: Consecutive Block Minimization
- Author
- Zoubir Layouni
- Publisher
- Omniscriptum, Our Knowledge Publishing Jun 2025
- Publication year
- 2025
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 6208992176
- ISBN 13
- 9786208992170
- Item weight
- 96 grams
- Dimensions
- 220x150x33 mm
"Synopsis" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
Shipping rates from Germany to U.S.A.
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BuchWeltWeit Ludwig Meier e.K.
Germany
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