Simon Griffiths

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20072023

most citedThe triangle-free process and the Ramsey number

R (3, k)

33 citations · 131 across the 23 of their papers we have counts for

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math.NT2010

(k+1)-sums versus k-sums

Simon Griffiths

A $k$ -sum of a set $A \subseteq Z$ is an integer that may be expressed as a sum of $k$ distinct elements of $A$ . How large can the ratio of the number of $(k + 1)$ -sums to th…

math.NT2008★ 4 cited

Asymptotically tight bounds on subset sums

Simon Griffiths

For a subset A of a finite abelian group G we define Sigma(A)={sum_{a\in B}a:B\subset A}. In the case that Sigma(A) has trivial stabiliser, one may deduce that the size of Sigma(A)…