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AINA
2010
IEEE
14 years 1 months ago
The Power of Orientation in Symmetry-Breaking
—Symmetry breaking is a fundamental operation in distributed computing. It has applications to important problems such as graph vertex and edge coloring, maximal independent sets...
Satya Krishna Pindiproli, Kishore Kothapalli
SPAA
2009
ACM
14 years 9 months ago
On randomized representations of graphs using short labels
Informative labeling schemes consist in labeling the nodes of graphs so that queries regarding any two nodes (e.g., are the two nodes adjacent?) can be answered by inspecting mere...
Pierre Fraigniaud, Amos Korman
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
11 years 11 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
STOC
2002
ACM
149views Algorithms» more  STOC 2002»
14 years 9 months ago
The complexity of choosing an H-colouring (nearly) uniformly at random
Cooper, Dyer and Frieze studied the problem of sampling H-colourings (nearly) uniformly at random. Special cases of this problem include sampling colourings and independent sets a...
Leslie Ann Goldberg, Steven Kelk, Mike Paterson
FOCS
2008
IEEE
14 years 3 months ago
Mixing Time of Exponential Random Graphs
A plethora of random graph models have been developed in recent years to study a range of problems on networks, driven by the wide availability of data from many social, telecommu...
Shankar Bhamidi, Guy Bresler, Allan Sly