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Nuovi risultati per il problema

Nuovi risultati per il problema

Zoubir Layouni

65,43 €
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Editorial:
KS OmniScriptum Publishing
Año de edición:
2025
Materia
Matemáticas
ISBN:
9786208992248
65,43 €
IVA incluido
Disponible

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In questo libro esaminiamo una proprietà speciale di una matrice binaria, nota come 'proprietà degli 1 consecutivi'. Un blocco consecutivo è una sequenza di 1 consecutivi. Il problema consiste nel trovare una permutazione delle colonne in modo che il numero di blocchi consecutivi nella matrice indotta sia minimo. Si sottolinea che è NP-completo per istanze generali, quindi si presentano le applicazioni che lo riguardano, le varianti e uno stato dell’arte. Il nostro primo contributo consiste nel dimostrare che la CBM è NP-completa anche quando la matrice binaria ha solo due 1 per riga, trasformando polinomialmente il problema della catena hamiltoniana di massimo peso in CBM ristretta alle istanze in questione.Un secondo contributo è consistito nel risolvere la domanda: la CBM è approssimabile con garanzia? La risposta è stata trovata sotto forma di un’euristica polinomiale che costruisce permutazioni che hanno come risultato un numero di blocchi consecutivi che non si discosta più del 50% dall’ottimo.

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