Decomposing the Complete Graph Into Hamiltonian Paths (Cycles) and 3-Stars

Let H be a graph. A decomposition of H is a set of edge-disjoint subgraphs of H whose union is H. A Hamiltonian path (respectively, cycle) of H is a path (respectively, cycle) that contains every vertex of H exactly once. A k-star, denoted by Sk, is a star with k edges. In this paper, we give necess...

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Bibliographic Details
Main Authors: Lee Hung-Chih, Chen Zhen-Chun
Format: Article
Language:English
Published: Sciendo 2020-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2153