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» Acyclic and Frugal Colourings of Graphs
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COCOON
2006
Springer
15 years 1 months ago
Optimal Acyclic Edge Colouring of Grid Like Graphs
We determine the values of the acyclic chromatic index of a class of graphs referred to as d-dimensional partial tori. These are graphs which can be expressed as the cartesian prod...
Rahul Muthu, N. Narayanan, C. R. Subramanian
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...
IPL
2008
128views more  IPL 2008»
14 years 9 months ago
About acyclic edge colourings of planar graphs
Anna Fiedorowicz, Mariusz Haluszczak, Narayanan Na...
DM
2007
100views more  DM 2007»
14 years 9 months ago
Improved bounds on acyclic edge colouring
We prove that the acyclic chromatic index a (G) 6 for all graphs with girth at least 9. We extend the same method to obtain a bound of 4.52 with the girth requirement g 220. We al...
Rahul Muthu, N. Narayanan, C. R. Subramanian
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