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From the 2 of 7 linked papers with an AI index.

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20242026
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7 papers

math.CO2026

On -Matrix Product Factorization of graphs

Farzad Maghsoudi, Bobby Miraftab, Sho Suda

The paper defines an ε‑approximate matrix product factorization for graphs, where two graphs H and K on the same vertex set multiply to approximate the adjacency matrix of a target…

math.CO2026

Cayley Graphs Of Order Are Hamiltonian

Florian Lehner, Farzad Maghsoudi, Bobby Miraftab

The paper proves that every connected Cayley graph of a finite group whose order is the product of four distinct primes (pqrs) contains a Hamiltonian cycle.

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.CO2025

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…