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20162025
most citedA Simple Explanation for the Reconstruction of Graphs

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

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6 papers · 1 filter

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…