Decomposition of hypercubes into regular connected bipancyclic subgraphs

Author:

Borse Y. M.1,Kandekar S. A.1

Affiliation:

1. Department of Mathematics, Savitribai Phule Pune University, Pune 411007, India

Abstract

In this paper, we consider the problem of decomposing the edge set of the hypercube Qn into two spanning, regular, connected, bipancyclic subgraphs. We prove that if n = n1 + n2 with n1 ≥ 2 and n2 ≥ 2, then the edge set of Qn can be decomposed into two spanning, bipancyclic subgraphs H1 and H2 such that Hi is ni-regular and ni-connected for i = 1, 2.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics

Cited by 8 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. A Note on Conditional Edge Connectivity of Hypercube Networks;Journal of Interconnection Networks;2021-06

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

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

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

5. Regular Connected Bipancyclic Spanning Subgraphs of Torus Networks;Parallel Processing Letters;2018-12

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