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math.HO2025
Amicable numbers and their connection to the Euler totient function
Ali Reza Mavaddat, Saeid Alikhani
A pair of numbers is amicable if each number equals the sum of the proper divisors of the other. This paper after exploring the history and evolution of amicable numbers, introduce…
math.CO2025
Some results on Hamming graphs and an extended Hamming graphs
Ali Zafari, Saeid Alikhani
In this paper we first obtain the spectrum of the folded hypercube in a new approach. Then we introduce a new family of graphs called the extended Hamming graph, denoted by $EH(n,2…
math.CO2025
On the Harmonic characteristic polynomial of specific graphs
Sadruddin Rahimi, Saeid Alikhani
This paper explores the Harmonic matrix associated with a simple graph , where each entry corresponds to for adjacent vertices and $ v_…