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» On the hyperbolicity constant in graphs
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SPAA
2006
ACM
16 years 7 days ago
A performance analysis of local synchronization
Synchronization is often necessary in parallel computing, but it can create delays whenever the receiving processor is idle, waiting for the information to arrive. This is especia...
Julia Lipman, Quentin F. Stout
JGT
2007
85views more  JGT 2007»
15 years 6 months ago
Between ends and fibers
Let Γ be an infinite, locally finite, connected graph with distance function δ. Given a ray P in Γ and a constant C ≥ 1, a vertex-sequence {xn}∞ n=0 ⊆ V P is said to be...
C. Paul Bonnington, R. Bruce Richter, Mark E. Watk...
ALGORITHMICA
2002
109views more  ALGORITHMICA 2002»
15 years 6 months ago
A Near-Linear Area Bound for Drawing Binary Trees
We present several simple methods to construct planar, strictly upward, strongly order-preserving, straight-line drawings of any n-node binary tree. In particular, it is shown that...
Timothy M. Chan
COMGEO
2002
ACM
15 years 6 months ago
Beta-skeletons have unbounded dilation
A fractal construction shows that, for any > 0, the -skeleton of a point set can have arbitrarily large dilation: (nc ), where c is a constant depending on and going to zero ...
David Eppstein
JCT
2010
101views more  JCT 2010»
15 years 4 months ago
Asymptotically optimal frugal colouring
We prove that every graph with maximum degree ∆ can be properly (∆ + 1)coloured so that no colour appears more than O(log ∆/ log log ∆) times in the neighbourhood of any v...
Michael Molloy, Bruce A. Reed