3 papers
math.NT2025
Goldbach Conjecture: Violation Probability and Generalization to Prime-like Distributions
Ameneh Farhadian
Due to the distribution of primes among integers, we establish an upper bound for the probability that the Goldbach conjecture fails. Assuming the conjecture holds t…
math.CO2018
A Simple Algorithm for a Computationally Hard Problem
Ameneh Farhadian
Graph isomorphism problem is a known hard problem. In this paper, a novel randomized algorithm is proposed for this problem which is very simple and fast. It solves the graph isomo…
math.CO2018
Almost every -vertex graph is determined by its -vertex subgraphs
Ameneh Farhadian
The paper shows that almost every -vertex graph is such that the multiset of its induced subgraphs on vertices is sufficient to determine it up to isomorphism. The…