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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 interestingsequences and combinatorial structures, ranging from tournaments to additionchains, from permutations to sequences having the Goldbach property that any integer greater than 1 can be obtained as the sum of two elementsin the sequence. The paper introduces and compares several of these classesof sequences, discussing recurrence relations, enumerative problems andquestions concerning shortest sequences.

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Type
Research Article
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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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