Searching for authors named "Thomas Andreae" – sorted by Relevance.
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Cartesian products of graphs as spanning subgraphs of de Bruijn graphs (Extended Abstract)
- Thomas Andreae , Michael Nolle , Gerald Schreiber Mathematisches Seminar Universitat Hamburg Bundesstrae 55 Technische Universitat Hamburg-Harburg Technische Informatik I Harburger Schlostrae 20 To appear in: Proceedings of the 20. Workshop "Graph-Theoretic Concepts in Computer Sci
- Cited by 7 (5 self) – Add To MetaCart
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On embedding 2-dimensional toroidal grids into de Bruijn graphs with clocked congestion one
- For integers m; d; D with m 3; d 2; and D 2, let T (m) be a 2--dimensional quadratic toroidal grid with side length m and let B(d;D) be the base d, dimension D de Bruijn graph; assume that jT (m)j = jB(d; D)j. The starting point for our investigations is the observation that, for m;D even, em
- Cited by 2 (0 self) – Add To MetaCart
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Embedding Cartesian Products of Graphs into de Bruijn Graphs
- For Cartesian products G = G 1 \Theta : : :\Theta Gm (m 2) of nontrivial connected graphs G i and the n- dimensional base B de Bruijn graph D = DB (n), we investigate whether or not there exists a spanning subgraph of D which is isomorphic to G. We show that G is never a spanning subgraph of D when
- Cited by 4 (1 self) – Add To MetaCart
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Cartesian products of graphs as subgraphs of de Bruijn graphs of dimension at least three
- Given a Cartesian product G = G 1 \Theta : : : \Theta Gm (m 2) of nontrivial connected graphs G i 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
- Cited by 2 (1 self) – Add To MetaCart
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Embedding Cartesian Products of Graphs
- Given a Cartesian product G = G 1 \Theta : : : \Theta Gm (m 2) of nontrivial connected graphs G i and the n--dimensional base B de Bruijn graph D = DB (n), it is investigated whether or not G is a spanning subgraph of D. Special attention is given to graphs G = G 1 \Theta : : : \Theta Gm which a
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