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» On Bounds for the k-Partitioning of Graphs
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CCCG
2003
14 years 11 months ago
Degree Bounds for Constrained Pseudo-Triangulations
We introduce the concept of a constrained pointed pseudo-triangulation TG of a point set S with respect to a pointed planar straight line graph G = (S, E). For the case that G for...
Oswin Aichholzer, Michael Hoffmann, Bettina Speckm...
DM
2007
100views more  DM 2007»
14 years 10 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
COMBINATORICS
1999
64views more  COMBINATORICS 1999»
14 years 9 months ago
Orthogonal Colorings of Graphs
An orthogonal coloring of a graph G is a pair {c1, c2} of proper colorings of G, having the property that if two vertices are colored with the same color in c1, then they must hav...
Yair Caro, Raphael Yuster
ISPD
2012
ACM
283views Hardware» more  ISPD 2012»
13 years 5 months ago
Low-power gated bus synthesis for 3d ic via rectilinear shortest-path steiner graph
In this paper, we propose a new approach for gated bus synthesis [16] with minimum wire capacitance per transaction in three-dimensional (3D) ICs. The 3D IC technology connects di...
Chung-Kuan Cheng, Peng Du, Andrew B. Kahng, Shih-H...
COMBINATORICA
2011
13 years 9 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller