A note on the zero divisor graph of the ring of Lipschitz integers modulo n

Abstract

In a recent paper, Grau et al. studied the zero divisor graphs of the ring of Lipschitz integers modulo [Formula: see text], and computed the domination number of the undirected zero divisor graph of the ring of Lipschitz integers modulo [Formula: see text]. But the case [Formula: see text] is a power of prime numbers remained open. In this paper, this problem is solved. We also show the automorphism group of the zero divisor graph of the ring of Lipschitz integers modulo [Formula: see text].