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Increasing integer sequences andGoldbach's conjecture

Published online by Cambridge University Press:  20 July 2006

Mauro Torelli
Mauro Torelli*
Affiliation:
Università di Milano, Dipartimento di Scienze dell'Informazione, via Comelico 39, 20135 Milano, Italy; torelli@dsi.unimi.it
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Abstract

Increasing integer sequences include many instances of interesting sequences and combinatorial structures, ranging from tournaments to addition chains, from permutations to sequences having the Goldbach property that any integer greater than 1 can be obtained as the sum of two elements in the sequence. The paper introduces and compares several of these classes of sequences, discussing recurrence relations, enumerative problems and questions concerning shortest sequences.

Keywords

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 40 , Issue 2: Alberto Bertoni: Climbing summits , April 2006 , pp. 107 - 121
Copyright
© EDP Sciences, 2006

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