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COMBINATORICA
2007
117views more  COMBINATORICA 2007»
15 years 4 months ago
Embedding nearly-spanning bounded degree trees
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
Noga Alon, Michael Krivelevich, Benny Sudakov
CVPR
2004
IEEE
16 years 6 months ago
Estimating Illumination Direction from Textured Images
We study the problem of estimating the illuminant's direction from images of textured surfaces. Given an isotropic, Gaussian random surface with constant albedo, Koenderink an...
Manik Varma, Andrew Zisserman
MFCS
2004
Springer
15 years 10 months ago
Online Algorithms for Disk Graphs
We study the on-line versions of two fundamental graph problems, maximum independent set and minimum coloring, for the case of disk graphs which are graphs resulting from intersect...
Ioannis Caragiannis, Aleksei V. Fishkin, Christos ...
COMBINATORICS
2006
169views more  COMBINATORICS 2006»
15 years 4 months ago
The Diameter and Laplacian Eigenvalues of Directed Graphs
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
Fan R. K. Chung
CORR
2007
Springer
132views Education» more  CORR 2007»
15 years 4 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing