Decomposing hypercubes into regular connected subgraphs

Author:

Sonawane A. V.1,Borse Y. M.1

Affiliation:

1. Department of Mathematics, Savitribai Phule Pune University, Pune 411 007, India

Abstract

It is known that the [Formula: see text]-dimensional hypercube [Formula: see text] for [Formula: see text] with [Formula: see text] can be decomposed into two spanning bipancyclic subgraphs [Formula: see text] and [Formula: see text] such that [Formula: see text] is [Formula: see text]-regular and [Formula: see text]-connected for [Formula: see text] In this paper, we prove that if [Formula: see text] with [Formula: see text] and at most one [Formula: see text] odd, then [Formula: see text] can be decomposed into [Formula: see text] spanning subgraphs [Formula: see text], [Formula: see text] such that [Formula: see text] is [Formula: see text]-regular and [Formula: see text]-connected for [Formula: see text]

Funder

Department of Science and Technology, Government of India

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Decomposition of augmented cubes into regular connected pancyclic subgraphs;Journal of Parallel and Distributed Computing;2020-07

2. Factorizations of the product of cycles;AKCE International Journal of Graphs and Combinatorics;2019-12-01

3. Decomposition of the product of cycles based on degree partition;Discussiones Mathematicae Graph Theory;2019

4. On 4-regular 4-connected bipancyclic subgraphs of hypercubes;Discrete Mathematics, Algorithms and Applications;2017-03-20

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