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» Structural Properties of Sparse Graphs
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SIAMSC
2010
142views more  SIAMSC 2010»
13 years 4 months ago
Hypergraph-Based Unsymmetric Nested Dissection Ordering for Sparse LU Factorization
In this paper we present HUND, a hypergraph-based unsymmetric nested dissection ordering algorithm for reducing the fill-in incurred during Gaussian elimination. HUND has several i...
Laura Grigori, Erik G. Boman, Simplice Donfack, Ti...
PROPERTYTESTING
2010
13 years 8 months ago
Transitive-Closure Spanners: A Survey
We survey results on transitive-closure spanners and their applications. Given a directed graph G = (V, E) and an integer k 1, a k-transitive-closure-spanner (k-TC-spanner) of G ...
Sofya Raskhodnikova
CORR
2006
Springer
90views Education» more  CORR 2006»
13 years 10 months ago
The recognizability of sets of graphs is a robust property
Once the set of finite graphs is equipped with an algebra structure (arising from the definition of operations that generalize the concatenation of words), one can define the noti...
Bruno Courcelle, Pascal Weil
CORR
2010
Springer
97views Education» more  CORR 2010»
13 years 10 months ago
A Linear-time Algorithm for Sparsification of Unweighted Graphs
Given an undirected graph G and an error parameter > 0, the graph sparsification problem requires sampling edges in G and giving the sampled edges appropriate weights to obtai...
Ramesh Hariharan, Debmalya Panigrahi
IPL
2007
101views more  IPL 2007»
13 years 10 months ago
Adjacency queries in dynamic sparse graphs
We deal with the problem of maintaining a dynamic graph so that queries of the form “is there an edge between u and v?” are processed fast. We consider graphs of bounded arbor...
Lukasz Kowalik