广义彼得森图的2-可扩性
- Extendability of Generalized Petersen Graphs
本文证明了当k≥3,n≠2k,3k时,广义彼得森图GP(n,k)中的任意两条不邻接边都包含在GP(n,k)的1-因子中。
The paper has proved that any two non-adjacent edges of a generalized Petersen graph GP ( n , k ) are contained in a 1-factor of GP ( n , k ) if k ≥ 3 , and n ≠ 2k or 3k .