Simultaneous systems of representatives and combinatorial number theory
نویسندگان
چکیده
منابع مشابه
Combinatorial Number Theory
Background. The integer distance graph G(Z, D) with distance set D = {d1, d2, . . .} has the set of integers Z as the vertex set and two vertices x, y ∈ Z are adjacent if and only if |x − y| ∈ D. The integer distance graphs (under Euclidean norm) were first systematically studied by Eggleton–Erdős–Skilton in 1985 [12, 13], and have been investigated in many ways [50, 56, 57, 61]. One of main go...
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The set A of nonnegative integers is an asymptotic basis of order h if every sufficiently large integer is the sum of h elements of A . For example, the squares form an asymptotic basis of order 4 and the square-free numbers form an asymptotic basis of order 2 . If A is an asymptotic basis of order h, but no proper subset of A is an asymptotic basis of order h, then A is a minimal asymptotic ba...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1990
ISSN: 0012-365X
DOI: 10.1016/0012-365x(90)90034-f