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On a conjecture of Erdős for multiplicities of cliques

✍ Scribed by Deza, Antoine; Franek, Frantisek; Liu, Min Jing

Book ID
119292796
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
153 KB
Volume
17
Category
Article
ISSN
1570-8667

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It is conjectured by Erdős, Graham and Spencer that if 1 a 1 a 2 • • • a s with s i=1 1/a i < n -1/30, then this sum can be decomposed into n parts so that all partial sums are 1. This is not true for s i=1 1/a i = n -1/30 as shown by In 1997, Sándor proved that Erdős-Graham-Spencer conjecture is t