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» About acyclic edge colourings of planar graphs
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DM
2008
127views more  DM 2008»
14 years 9 months ago
An adjacency lemma for critical multigraphs
In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
David Cariolaro
GC
2011
Springer
14 years 4 months ago
Properly Edge-Coloured Subgraphs in Colourings of Bounded Degree
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
Klas Markström, Andrew Thomason, Peter Wagner...
SBACPAD
2003
IEEE
125views Hardware» more  SBACPAD 2003»
15 years 2 months ago
Applying Scheduling by Edge Reversal to Constraint Partitioning
— Scheduling by Edge Reversal (SER) is a fully distributed scheduling mechanism based on the manipulation of acyclic orientations of a graph. This work uses SER to perform constr...
Marluce Rodrigues Pereira, Patrícia Kayser ...
LICS
2010
IEEE
14 years 8 months ago
Highly Acyclic Groups, Hypergraph Covers and the Guarded Fragment
We construct finite groups whose Cayley graphs have large girth even w.r.t. a discounted distance measure that contracts arbitrarily long sequences of edges from the same colour ...
Martin Otto
SIAMCOMP
1998
85views more  SIAMCOMP 1998»
14 years 9 months ago
Separator-Based Sparsification II: Edge and Vertex Connectivity
We consider the problem of maintaining a dynamic planar graph subject to edge insertions and edge deletions that preserve planarity but that can change the embedding. We describe a...
David Eppstein, Zvi Galil, Giuseppe F. Italiano, T...