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ECCC
2000
117views more  ECCC 2000»
14 years 11 months ago
On Testing Expansion in Bounded-Degree Graphs
We consider testing graph expansion in the bounded-degree graph model. Specifically, we refer to algorithms for testing whether the graph has a second eigenvalue bounded above by a...
Oded Goldreich, Dana Ron
GD
2004
Springer
15 years 4 months ago
A Note on the Self-similarity of Some Orthogonal Drawings
Large graphs are difficult to browse and to visually explore. This note adds up evidence that some graph drawing techniques, which produce readable layouts when applied to medium-s...
Maurizio Patrignani
WG
1997
Springer
15 years 3 months ago
Parallel Algorithms for Treewidth Two
In this paper we present a parallel algorithm that decides whether a graph G has treewidth at most two, and if so, construct a tree decomposition or path decomposition of minimum ...
Babette de Fluiter, Hans L. Bodlaender
COCOON
2007
Springer
15 years 3 months ago
Improved Exact Algorithms for Counting 3- and 4-Colorings
Abstract. We introduce a generic algorithmic technique and apply it on decision and counting versions of graph coloring. Our approach is based on the following idea: either a graph...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh
FSTTCS
2010
Springer
14 years 9 months ago
First-Order Logic with Reachability Predicates on Infinite Systems
This paper focuses on first-order logic (FO) extended by reachability predicates such that the expressiveness and hence decidability properties lie between FO and monadic second-o...
Stefan Schulz