Mohamed Omar

activity

20102026

most citedSparse Neural Codes and Convexity

10 citations · 27 across the 20 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.AC2016★ 8 cited

Neural Ideal Preserving Homomorphisms

R. Amzi Jeffs, Mohamed Omar, Nora Youngs

The neural ideal of a binary code $C \subseteq F_{2}^{n}$ is an ideal in $F_{2} [x_{1}, \dots, x_{n}]$ closely related to the vanishing ideal of $C$ . The n…

math.CO2016

A proof of the peak polynomial positivity conjecture

Alexander Diaz-Lopez, Pamela E. Harris, Erik Insko +1

We say that a permutation $π = π_{1} π_{2} \dots π_{n} \in S_{n}$ has a peak at index $i$ if $π_{i - 1} < π_{i} > π_{i + 1}$ . Let $P (π)$ denote the set of indices where $π$ has…