We take a special \(1\)-factorization of \(K_{n,n}\), and investigate the subgraphs suborthogonal to the \(1\)-factorization. Some interesting results are obtained, including an identity involving \(n^n\) and \(n!\) and a property of permutations.
Citation
Dave Cowan, Jiping Liu. Subgraphs Orthogonal to a \(1\)-Factorization of Complete Bipartite Graphs[J], Ars Combinatoria, Volume 062. 161-172. .
