Paley-type graphs of order a product of two distinct primes

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Author: Das, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188476
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Paley-type graphs of order a product of two distinct primes / A. Das // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 1. — С. 44–59. — Бібліогр.: 17 назв. — англ.

In this paper, we initiate the study of Paley-type graphs ГN modulo N = pq, where p, q are distinct primes of the form 4k + 1. It is shown that ГN is an edge-regular, symmetric, Eulerian and Hamiltonian graph. Also, the vertex connectivity, edge connectivity, diameter and girth of ГN are studied and...