activity
20162025
most citedA Simple Explanation for the Reconstruction of Graphs

1 citations · 2 across the 8 of their papers we have counts for

collaborators

8 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.NT2022

A Simple Explanation for the Goldbach Conjecture

Ameneh Farhadian, Hamid Reza Fanai

In this paper, a simple explanation for the Goldbach Conjecture is given. We have shown that the probability of violating the conjecture not only for the prime numbers, but also fo…

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…

math.CO2017★ 1 cited

A Simple Explanation for the Reconstruction of Graphs

Ameneh Farhadian

The graph reconstruction conjecture states that all graphs on at least three vertices are determined up to isomorphism by their deck. In this paper, a general framework for this pr…

math.CO2017

A Coordinate System for Graphs

Ameneh Farhadian

In this paper, a function on any pair of graphs is defined whose properties are similar to the properties of dot product in vector space. This function enables us to define graph o…

math.CO2016

Discrimination of Graph Isomorphism Classes by Continuous Spectrum and Split Technique

Ameneh Farhadian

The graph isomorphism problem is a main problem which has numerous applications in different fields. Thus, finding an efficient and easy to implement method to discriminate non-iso…

math.CO2016★ 1 cited

Reconstruction of graphs via asymmetry

Ameneh Farhadian

Any graph which is not vertex transitive has a proper induced subgraph which is unique due to its structure or the way of its connection to the rest of the graph. We have called su…