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ICALP
2011
Springer
12 years 12 months ago
Steiner Transitive-Closure Spanners of Low-Dimensional Posets
Given a directed graph G = (V, E) and an integer k ≥ 1, a Steiner k-transitive-closure-spanner (Steiner k-TC-spanner) of G is a directed graph H = (VH , EH ) such that (1) V ⊆ ...
Piotr Berman, Arnab Bhattacharyya, Elena Grigoresc...
FOCS
1994
IEEE
13 years 12 months ago
Finding the k Shortest Paths
We describe algorithms for finding the k shortest paths connecting a given pair of vertices in a digraph (allowing cycles). Our algorithms output an implicit representation of the...
David Eppstein
ENDM
2006
91views more  ENDM 2006»
13 years 8 months ago
There are exactly five biplanes with k=11
A biplane is a 2-(k(k - 1)/2 + 1, k, 2) symmetric design. Only sixteen nontrivial biplanes are known: there are exactly nine biplanes with k < 11, at least five biplanes with k...
Patric R. J. Östergård, Petteri Kaski
CORR
2010
Springer
107views Education» more  CORR 2010»
13 years 5 months ago
Metric uniformization and spectral bounds for graphs
We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate "Riemannian" metric to uniformize th...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
ICASSP
2011
IEEE
13 years 6 days ago
Downsampling graphs using spectral theory
In this paper we present methods for downsampling datasets defined on graphs (i.e., graph-signals) by extending downsampling results for traditional N-dimensional signals. In par...
Sunil K. Narang, Antonio Ortega