منابع مشابه
A Note on B 2 [ G ] Sets
Suppose g is a fixed positive integer. For N ≥ 2, a set A ⊂ Z ⋂ [1, N ] is called a B2[g] set if every integer n has at most g distinct representations as n = a + b with a, b ∈ A and a ≤ b. In this note, we introduce a new idea to give a small improvement to the upper bound for the size of such A when g is small.
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This article was presented by the author at the Vaccination Seminar of May 26, 1972, National University Medical School.
متن کاملNote on Distance Magic Products G ∘ C4
A distance magic labeling of a graph G = (V, E) of order n is a bijection l : V → {1, 2, . . . , n} with the property that there is a positive integer k (called magic constant) such that w(x) = k for every x ∈ V . If a graph G admits a distance magic labeling, then we say that G is a distance magic graph. In the case of non-regular graph G, the problem of determining whether there is a distance...
متن کاملA NUMERICAL NOTE ON UPPER BOUNDS FOR B 2 [g] SETS
Sidon sets are those sets such that the sums of two of its elements never coincide. They go back to the 30s when Sidon asked for the maximal size of a subset of consecutive integers with that property. This question is now answered in a satisfactory way. Their natural generalization, called B2[g] sets and defined by the fact that there are at most g ways (up to reordering the summands) to repre...
متن کاملA note on the eigenvalues of g-circulants (and of g-Toeplitz, g-Hankel matrices)
A matrix A of size n is called g-circulant if A = [ a(r−gs) mod n ]n−1 r,s=0 , while a matrix A is called g-Toeplitz if its entries obey the rule A = [ar−gs] n−1 r,s=0. In this note we study the eigenvalues of g-circulants and we provide a preliminary asymptotic analysis of the eigenvalue distribution of g-Toeplitz sequences, in the case where the numbers {ak} are the Fourier coefficients of an...
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ژورنال
عنوان ژورنال: Science
سال: 1897
ISSN: 0036-8075,1095-9203
DOI: 10.1126/science.5.115.447