Some properties of alternating group networks (Q2274504)

An ``alternating group network'' is a specific Cayley graph defined on the alternating group \(A_n\), with connection set \(\{(123),(132),(12)(3i): 4 \le i \le n\}\). For this family of Cayley graphs, the author determines the full automorphism group. This leads to the conclusions that the fixing number for these graphs is \(2\), the independence number is \(n!/6\), and the domination number is \((n-1)!/2\).