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» On cyclically orientable graphs
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GC
2008
Springer
13 years 4 months ago
A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations
Gioan showed that the number of cycle reversing classes of totally cyclic orientations of a given graph can be calculated as an evaluation of the corresponding Tutte polynomial. We...
Beifang Chen, Arthur L. B. Yang, Terence Y. J. Zha...
DM
2008
127views more  DM 2008»
13 years 4 months ago
On cyclically orientable graphs
Vladimir Gurvich
JCT
2007
98views more  JCT 2007»
13 years 4 months ago
Triangular embeddings of complete graphs from graceful labellings of paths
We show that to each graceful labelling of a path on 2s + 1 vertices, s ≥ 2, there corresponds a current assignment on a 3-valent graph which generates at least 22s cyclic orien...
Luis A. Goddyn, R. Bruce Richter, Jozef Sirá...
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
COMBINATORICA
2008
97views more  COMBINATORICA 2008»
13 years 5 months ago
Cyclic orders: Equivalence and duality
Cyclic orders of graphs and their equivalence have been promoted by Bessy and Thomass
Pierre Charbit, András Sebö