2 problems

A sequence of positive integers is a Sidon sequence if all sums $a+a'$ with $a,a'$ in the sequence and $a\leq a'$ are distinct; it is an asymptotic basis of order $g$ if every suff…

Let $f_2(n)$ denote the maximum, over all $n$-vertex 2-connected graphs, of the number of cycle lengths that occur exactly once. The authors' conjecture is … This conjecture assert…