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IJCAI
2001
15 years 1 months ago
Search on High Degree Graphs
We show that nodes of high degree tend to occur infrequently in random graphs but frequently in a wide variety of graphs associated with real world search problems. We then study ...
Toby Walsh
DCG
2008
82views more  DCG 2008»
14 years 12 months ago
Schnyder Woods and Orthogonal Surfaces
In this paper we study connections between planar graphs, Schnyder woods, and orthogonal surfaces. Schnyder woods and the face counting approach have important applications in gra...
Stefan Felsner, Florian Zickfeld
CORR
2010
Springer
185views Education» more  CORR 2010»
14 years 12 months ago
Estimating and Sampling Graphs with Multidimensional Random Walks
Estimating characteristics of large graphs via sampling is a vital part of the study of complex networks. Current sampling methods such as (independent) random vertex and random w...
Bruno F. Ribeiro, Donald F. Towsley
FCT
2009
Springer
15 years 6 months ago
Martingales on Trees and the Empire Chromatic Number of Random Trees
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Colin Cooper, Andrew R. A. McGrae, Michele Zito
ICALP
2009
Springer
16 years 3 days ago
Derandomizing Random Walks in Undirected Graphs Using Locally Fair Exploration Strategies
Colin Cooper, David Ilcinkas, Ralf Klasing, Adrian...