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» On the extension of vertex maps to graph homomorphisms
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CORR
2008
Springer
104views Education» more  CORR 2008»
14 years 11 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
97
Voted
AAIM
2008
Springer
120views Algorithms» more  AAIM 2008»
15 years 6 months ago
Minimum Cost Homomorphism Dichotomy for Oriented Cycles
For digraphs D and H, a mapping f : V (D)→V (H) is a homomorphism of D to H if uv ∈ A(D) implies f(u)f(v) ∈ A(H). If, moreover, each vertex u ∈ V (D) is associated with co...
Gregory Gutin, Arash Rafiey, Anders Yeo
GC
2010
Springer
14 years 10 months ago
20 Years of Negami's Planar Cover Conjecture
In 1988, Seiya Negami published a conjecture stating that a graph G has a finite planar cover (i.e. a homomorphism from some planar graph onto G which maps the vertex neighbourhoo...
Petr Hlinený
IPPS
2007
IEEE
15 years 6 months ago
Incorporating Latency in Heterogeneous Graph Partitioning
Parallel applications based on irregular meshes make use of mesh partitioners for efficient execution. Some mesh partitioners can map a mesh to a heterogeneous computational plat...
Eric E. Aubanel, Xiaochen Wu