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ESA
2008
Springer
130views Algorithms» more  ESA 2008»
15 years 1 months ago
Linear Time Planarity Testing and Embedding of Strongly Connected Cyclic Level Graphs
Abstract. A level graph is a directed acyclic graph with a level assignment for each node. Such graphs play a prominent role in graph drawing. They express strict dependencies and ...
Christian Bachmaier, Wolfgang Brunner
JCT
2010
79views more  JCT 2010»
14 years 10 months ago
Vertex-coloring edge-weightings: Towards the 1-2-3-conjecture
Abstract. A weighting of the edges of a graph is called vertexcoloring if the weighted degrees of the vertices yield a proper coloring of the graph. In this paper we show that such...
Maciej Kalkowski, Michal Karonski, Florian Pfender
CORR
2010
Springer
176views Education» more  CORR 2010»
15 years 1 hour ago
A General Framework for Graph Sparsification
Given a weighted graph G and an error parameter > 0, the graph sparsification problem requires sampling edges in G and giving the sampled edges appropriate weights to obtain a...
Ramesh Hariharan, Debmalya Panigrahi
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
13 years 2 months ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
AISC
2008
Springer
15 years 1 months ago
The Monoids of Order Eight and Nine
We describe the use of symbolic algebraic computation allied with AI search techniques, applied to the problem of the identification, enumeration and storage of all monoids of orde...
Andreas Distler, Tom Kelsey