Regular factors in regular multipartite graphs
The paper presents sufficient conditions for a regular multipartite graph to have a regular factor and demonstrates that these are best possible. In particular, it is shown that a \(d\)-regular \(p\)-partite graph has a \(k\)-factor in the following cases: \(p= 2\); or if \(p\geq 3\) and \(d\) and \(k\) are even, plus a few other combinations.
scientific article; zbMATH DE number 1839021