Disjoint path covers with path length constraints in restricted hypercube-like graphs

作者:

Highlights:

• A disjoint path cover is a set of pairwise disjoint paths that altogether cover every vertex.

• A disjoint path cover with prescribed sources and path lengths is considered.

• Restricted hypercube-like graphs are a subfamily of nonbipartite hypercube-like graphs.

• Constructions of disjoint path covers in restricted hypercube-like graphs are presented.

• The constructions are optimal.

摘要

•A disjoint path cover is a set of pairwise disjoint paths that altogether cover every vertex.•A disjoint path cover with prescribed sources and path lengths is considered.•Restricted hypercube-like graphs are a subfamily of nonbipartite hypercube-like graphs.•Constructions of disjoint path covers in restricted hypercube-like graphs are presented.•The constructions are optimal.

论文关键词:Hypercube-like graph,Disjoint path cover,Path partition,Prescribed sources,Prescribed path lengths,Fault tolerance,Interconnection network

论文评审过程:Received 12 January 2016, Revised 18 August 2016, Accepted 21 May 2017, Available online 30 May 2017, Version of Record 7 August 2017.

论文官网地址:https://doi.org/10.1016/j.jcss.2017.05.007