Cartesian Products of Graphs as Subgraphs of De Bruijn Graphs of Dimension at Least Three

نویسندگان

  • Thomas Andreae
  • Martin Hintz
  • Michael Nölle
  • Gerald Schreiber
  • Gerald W. Schuster
  • Hajo Seng
چکیده

Given a Cartesian product G = GI x x G,, (m > 2) of nontrivial connected graphs G, and the base d, dimension D de Bruijn graph B(d,D), it is investigated under which conditions G is (or is not) a subgraph of B(d, D). We present a complete solution of this problem for the case D 3 4. For D = 3, we give partial results including a complete solution for the case that G is a torus, i.e., G is the Cartesian product of cycles. Kqwor& de Bruijn graphs; Cartesian products of graphs; Interconnection networks; Subgraph embeddings; Hypercubes; Tori; Parallel and distributed computing

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 79  شماره 

صفحات  -

تاریخ انتشار 1997