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» (k, )-Distance-Hereditary Graphs
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ICALP
2011
Springer
14 years 6 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
15 years 6 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»
15 years 3 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»
15 years 23 days 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
14 years 7 months 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