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» About acyclic edge colourings of planar graphs
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DM
2008
127views more  DM 2008»
13 years 7 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
13 years 2 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»
14 years 24 days 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
13 years 6 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»
13 years 7 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...