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CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 7 months ago
De Bruijn Graph Homomorphisms and Recursive De Bruijn Sequences
This paper presents a method to find new De Bruijn cycles based on ones of lesser order. This is done by mapping a De Bruijn cycle to several vertex disjoint cycles in a De Bruijn ...
Abbas Alhakim, Mufutau Akinwande
DM
1998
57views more  DM 1998»
13 years 7 months ago
Note on alternating directed cycles
The problem of the existence of an alternating simple dicycle in a 2-arc-coloured digraph is considered. This is a generalization of the alternating cycle problem in 2-edgecoloure...
Gregory Gutin, Benny Sudakov, Anders Yeo
COMBINATORICS
2007
86views more  COMBINATORICS 2007»
13 years 7 months ago
On Directed Triangles in Digraphs
Using a recent result of Chudnovsky, Seymour, and Sullivan, we slightly improve two bounds related to the Caccetta-Haggkvist Conjecture. Namely, we show that if α ≥ 0.35312, th...
Peter Hamburger, Penny E. Haxell, Alexandr V. Kost...
DAM
1999
81views more  DAM 1999»
13 years 7 months ago
On the Complexity of Hamiltonian Path and Cycle Problems in Certain Classes of Digraphs
We survey results on the sequential and parallel complexity of hamiltonian path and cycle problems in various classes of digraphs which generalize tournaments. We give detailed in...
Jørgen Bang-Jensen, Gregory Gutin
GC
2007
Springer
13 years 7 months ago
Consistent Cycles in Graphs and Digraphs
Let Γ be a finite digraph and let G be a subgroup of the automorphism group of Γ. A directed cycle C of Γ is called G-consistent whenever there is an element of G whose restri...
Stefko Miklavic, Primoz Potocnik, Steve Wilson