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Efficient Algorithms for Listing Combinatorial Structures

Language EnglishEnglish
Book Hardback
Book Efficient Algorithms for Listing Combinatorial Structures Leslie Ann Goldberg
Libristo code: 02031294
Publishers Cambridge University Press, April 1993
First published in 1993, this thesis is concerned with the design of efficient algorithms for listin... Full description
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First published in 1993, this thesis is concerned with the design of efficient algorithms for listing combinatorial structures. The research described here gives some answers to the following questions: which families of combinatorial structures have fast computer algorithms for listing their members? What general methods are useful for listing combinatorial structures? How can these be applied to those families which are of interest to theoretical computer scientists and combinatorialists? Amongst those families considered are unlabelled graphs, first order one properties, Hamiltonian graphs, graphs with cliques of specified order, and k-colourable graphs. Some related work is also included, which compares the listing problem with the difficulty of solving the existence problem, the construction problem, the random sampling problem, and the counting problem. In particular, the difficulty of evaluating Pólya's cycle polynomial is demonstrated.

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About the book

Full name Efficient Algorithms for Listing Combinatorial Structures
Language English
Binding Book - Hardback
Date of issue 1993
Number of pages 178
EAN 9780521450218
ISBN 0521450217
Libristo code 02031294
Weight 49
Dimensions 170 x 244 x 11
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