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DM
2002
104views more  DM 2002»
13 years 5 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
GC
2007
Springer
13 years 5 months ago
Gray Code Enumeration of Plane Straight-Line Graphs
We develop Gray code enumeration schemes for geometric graphs in the plane. The considered graph classes include plane straight-line graphs, plane spanning trees, and connected pl...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
IPL
2011
96views more  IPL 2011»
12 years 11 months ago
Restricted compositions and permutations: From old to new Gray codes
Any Gray code for a set of combinatorial objects defines a total order relation on this set: x is less than y if and only if y occurs after x in the Gray code list. Let ≺ denot...
Vincent Vajnovszki, Rémi Vernay
CORR
2010
Springer
135views Education» more  CORR 2010»
13 years 5 months ago
Constant-Weight Gray Codes for Local Rank Modulation
We consider the local rank-modulation scheme in which a sliding window going over a sequence of real-valued variables induces a sequence of permutations. The local rankmodulation, ...
Moshe Schwartz
CORR
2011
Springer
161views Education» more  CORR 2011»
13 years 8 days ago
Generalized Gray Codes for Local Rank Modulation
—We consider the local rank-modulation scheme in which a sliding window going over a sequence of real-valued variables induces a sequence of permutations. Local rankmodulation is...
Eyal En Gad, Michael Langberg, Moshe Schwartz, Jeh...