activity
20202026
most citedCayley graphs of order 6pq are Hamiltonian

1 citations · 1 across the 7 of their papers we have counts for

collaborators

9 papers

math.CO2026

On -Matrix Product Factorization of graphs

Farzad Maghsoudi, Bobby Miraftab, Sho Suda

We introduce an approximate version of matrix product factorization for graphs. A simple graph on vertices is said to admit an -matrix product factorization if…

math.CO2026

Cayley Graphs Of Order Are Hamiltonian

Florian Lehner, Farzad Maghsoudi, Bobby Miraftab

Assume is a finite group with order , where , , , and are distinct prime numbers. We prove that every connected Cayley graph of conta…

math.CO2026

On the Spectra of Digraph Laplacians

Saieed Akbari, Michael Cavers, Farzad Maghsoudi +1

We present several Laplacian-type matrices associated with a loopless digraph : the out-/in-degree Laplacians , the incidence…

math.CO2026

Spectra of Subdivision Products of Digraphs

Michael Cavers, Farzad Maghsoudi, Babak Miraftab

This paper introduces four types of subdivision products for simple directed graphs extending those from the undirected case, in particular, the subdivision-vertex join, subdivisio…

math.CO2025

Spectra of Corona Products of Digraphs

Michael Cavers, Farzad Maghsoudi, Babak Miraftab

Two types of corona products for simple directed graphs are introduced, extending the classical notions from the undirected setting: the vertex-corona and the arc-corona. Their str…

math.CO2024

Hamiltonicity of Transitive Graphs Whose Automorphism Group Has as Commutator Subgroups

Florian Lehner, Farzad Maghsoudi, Babak Miraftab

In 1982, Durnberger proved that every connected Cayley graph of a finite group with a commutator subgroup of prime order contains a hamiltonian cycle. In this paper, we extend this…

math.CO2023

On Matrix Product Factorization of graphs

Farzad Maghsoudi, Babak Miraftab, Sho Suda

In this paper, we explore the concept of the ``matrix product of graphs," initially introduced by Prasad, Sudhakara, Sujatha, and M. Vinay. This operation involves the multiplicati…

math.NT2023

Wreath products and cascaded FSRs

Alexander Bors, Farzad Maghsoudi, Qiang Wang

We show that the transition function of the cascaded connection of two FSRs can be viewed as a wreath product element. This allows us to study periods of cascaded connections with…

math.CO2020★ 1 cited

Cayley graphs of order 6pq are Hamiltonian

Farzad Maghsoudi

Assume G is a finite group, such that |G|= 6pq or 7pq, where p and q are distinct prime numbers, and let S be a generating set of G. We prove there is a Hamiltonian cycle in the co…