Purwanto, Fryska Ayu Winanthi
Let G1, G2, G3,..., Gn be connected subgraph of G. If E(G) = E(G1) E(G2) ... E(Gn) and E(Gi) E(Gj) = ø for any i j, then (G1, G2, G3,..., Gn) is a decomposition of G. The even star decomposition (S2, S4,..., S2t) of a complate bipartite graph Km,n, where Si is a star with i vertices of degree 1, has been studied by Merley and Goldy in 2016. In this paper we study an odd star decomposition (S1, S3, S5,..., S2t-1) of a complete bipartite graph Km,n when 1 ≤ m ≤ 5. © 2020 Author(s).
Department of Mathematics, Universitas Negeri MalangJalan, Semarang 5, Malang, 65145, Indonesia