I. Haviv

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20152026

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math.CO2024

Larger Nearly Orthogonal Sets over Finite Fields

Ishay Haviv, Sam Mattheus, Aleksa Milojević +1

For a field $F$ and integers $d$ and $k$ , a set $A \subseteq F^{d}$ is called $k$ -nearly orthogonal if its members are non-self-orthogonal and every $k + 1$ ve…

math.CO2018

Sum-free Sets of Integers with a Forbidden Sum

Ishay Haviv

A set of integers is sum-free if it contains no solution to the equation $x + y = z$ . We study sum-free subsets of the set of integers $[n] = {1, \dots, n}$ for which the integer $2 n + 1$ …

math.CO2018

Topological Bounds on the Dimension of Orthogonal Representations of Graphs

Ishay Haviv

An orthogonal representation of a graph is an assignment of nonzero real vectors to its vertices such that distinct non-adjacent vertices are assigned to orthogonal vectors. We pro…