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DM
2002
104views more  DM 2002»
13 years 4 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 4 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 4 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»
12 years 11 months 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...