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DM
2002
104views more  DM 2002»
13 years 8 months ago
Graphs induced by Gray codes
We disprove a conjecture of Bultena and Ruskey [1], that all trees which are cyclic graphs of cyclic Gray codes have diameter 2 or 4, by producing codes whose cyclic graphs are tre...
Elizabeth L. Wilmer, Michael D. Ernst
MST
2006
129views more  MST 2006»
13 years 8 months ago
Reachability Problems on Regular Ground Tree Rewriting Graphs
We consider the transition graphs of regular ground tree (or term) rewriting systems. The vertex set of such a graph is a (possibly infinite) set of trees. Thus, with a finite tree...
Christof Löding
ENDM
2010
122views more  ENDM 2010»
13 years 9 months ago
Complexity dichotomy on degree-constrained VLSI layouts with unit-length edges
Deciding whether an arbitrary graph admits a VLSI layout with unit-length edges is NP-complete [1], even when restricted to binary trees [7]. However, for certain graphs, the prob...
Vinícius G. P. de Sá, Celina M. Herr...
SAS
2000
Springer
14 years 12 days ago
Tree Schemata and Fair Termination
We present a new representation for possibly infinite sets of possibly infinite trees. This representation makes extensive use of sharing to achieve efficiency. As much as possible...
Laurent Mauborgne
COMBINATORICA
2007
117views more  COMBINATORICA 2007»
13 years 8 months ago
Embedding nearly-spanning bounded degree trees
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
Noga Alon, Michael Krivelevich, Benny Sudakov