Decomposing a Star Graph Into Disjoint Cycles

Abstract The star graph was proposed by S.B. Akers, D. Harel, and B. Krishnamurthy as an attractive alternative to the n -cube for interconnecting processors on a parallel computer. In this paper, we show that an n -star can be decomposed into ( n −2)! vertex disjoint cycles of lenght ( n −1) n . These cycles may be used in designing parallel algorithms on an interconnection network based on the star topology.