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EJC
2011
14 years 11 months ago
Cubic time recognition of cocircuit graphs of uniform oriented matroids
We present an algorithm which takes a graph as input and decides in cubic time if the graph is the cocircuit graph of a uniform oriented matroid. In the affirmative case the algor...
Stefan Felsner, Ricardo Gómez Aiza, Kolja B...
SODA
2012
ACM
268views Algorithms» more  SODA 2012»
13 years 6 months ago
Analyzing graph structure via linear measurements
We initiate the study of graph sketching, i.e., algorithms that use a limited number of linear measurements of a graph to determine the properties of the graph. While a graph on n...
Kook Jin Ahn, Sudipto Guha, Andrew McGregor
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
16 years 4 months ago
Generating random regular graphs
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
Jeong Han Kim, Van H. Vu
FOSSACS
2005
Springer
15 years 10 months ago
From Separation Logic to First-Order Logic
Separation logic is a spatial logic for reasoning locally about heap structures. A decidable fragment of its assertion language was presented in [1], based on a bounded model prope...
Cristiano Calcagno, Philippa Gardner, Matthew Hagu...
FAW
2009
Springer
134views Algorithms» more  FAW 2009»
15 years 11 months ago
Pathwidth is NP-Hard for Weighted Trees
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the PATHWIDTH problem is NP-hard for parti...
Rodica Mihai, Ioan Todinca