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Estimate of a multidimensional sum with the Legendre symbol for a polynomial of odd degree

✍ Scribed by G. I. Perel'muter


Publisher
SP MAIK Nauka/Interperiodica
Year
1976
Tongue
English
Weight
399 KB
Volume
20
Category
Article
ISSN
0001-4346

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## Abstract We show that every 1‐tough graph __G__ on __n__ β‰₯ 3 vertices with Οƒ~3~≧ __n__ has a cycle of length at least min{__n, n__ + (Οƒ~3~/3 ) βˆ’ Ξ± + 1}, where Οƒ~3~ denotes the minimum value of the degree sum of any 3 pairwise nonadjacent vertices and Ξ± the cardinality of a miximum independent se