Unpaired Many-to-Many Disjoint Path Covers in Hypercube-Like Interconnection Networks

نویسنده

  • Jung-Heum Park
چکیده

An unpaired many-to-many -disjoint path cover (-DPC) of a graph  is a set of  disjoint paths joining  distinct sources and sinks in which each vertex of  is covered by a path. Here, a source can be freely matched to a sink. In this paper, we investigate unpaired many-to-many DPC's in a subclass of hpercube-like interconnection networks, called restricted HL-graphs, and show that every -dimensional restricted HL-graph, ≥ , with  or less faulty elements (vertices and/or edges) has an unpaired many-to-many -DPC for any  ≥  and  ≥  with   ≤ .

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تاریخ انتشار 2014