Könyv Combinatorial Generation Shariful I. Bhuyan

Combinatorial Generation

A Genealogical Tree-based Approach

Nyelv: Angol
Kötés: Puha kötésű
Kiadó: VDM Verlag
Elérhetőség: Kiadói készleten rendelésre
Küldés 17-27 napon belül
17 206 Ft
Efficient generation of combinatorial objects is a well-researched area. Among them many literature...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2010
oldal
56
EAN
9783639232202
ISBN
3639232208
Enbook ID
06830953
Kiadó
Súly
95
Méretek
152 x 229 x 3

Teljes leírás

Efficient generation of combinatorial objects is a well-researched area. Among them many literature devoted on the combinatorial Gray code approach where the goal is to find a Hamiltonian path or cycle in a representative graph of the corresponding combinatorial class. Another approach namely genealogical tree approach has been recently introduced where the goal is to find a rooted spanning tree in the representative graph. Researchers have also focused on finding general patterns in the generation techniques of combinatorial classes so that common approaches can be applied to a large number of related problems. Here, we propose a unifying framework for combinatorial generation by giving recursive definition of an abstract combinatorial class. The definition can be instantiated to an array of specific combinatorial classes namely n-tuple, combination, integer partition, set partition and binary trees by specifying the framework parameters appropriately. As an illustration, we show the instantiation of the combinatorial class of n-tuples, combinations and balanced parenthesis strings and also give novel constant-time generation algorithm for each of them.

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