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» A note on generalized chromatic number and generalized girth
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CPC
2007
101views more  CPC 2007»
13 years 7 months ago
Colouring Random 4-Regular Graphs
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
Lingsheng Shi, Nicholas C. Wormald
ICALP
2004
Springer
14 years 29 days ago
A Note on Karr's Algorithm
We give a simple formulation of Karr’s algorithm for computing all affine relationships in affine programs. This simplified algorithm runs in time O(nk3 ) where n is the progr...
Markus Müller-Olm, Helmut Seidl
CCCG
2003
13 years 9 months ago
Coloring Objects Built From Bricks
We address a question posed by Sibley and Wagon. They proved that rhombic Penrose tilings in the plane can be 3colored, but a key lemma of their proof fails in the natural 3D gene...
Suzanne Gallagher, Joseph O'Rourke
JUCS
2002
79views more  JUCS 2002»
13 years 7 months ago
Some Notes on Fine Computability
: A metric defined by Fine induces a topology on the unit interval which is strictly stronger than the ordinary Euclidean topology and which has some interesting applications in Wa...
Vasco Brattka
ESWA
2010
101views more  ESWA 2010»
13 years 6 months ago
A note on the truck and trailer routing problem
This study considers a relaxation of the truck and trailer routing problem (TTRP), called the relaxed truck and trailer routing problem (RTTRP). In the TTRP, the number of availab...
Shih-Wei Lin, Vincent F. Yu, Shuo-Yan Chou