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COMPGEOM
2010
ACM
15 years 2 months ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar
JSYML
2010
120views more  JSYML 2010»
14 years 4 months ago
First order properties on nowhere dense structures
A set A of vertices of a graph G is called d-scattered in G if no two d-neighborhoods of (distinct) vertices of A intersect. In other words, A is d-scattered if no two distinct ver...
Jaroslav Nesetril, Patrice Ossona de Mendez
IJAC
2011
14 years 1 months ago
The Subword Reversing Method
We summarize the main known results involving subword reversing, a method of semigroup theory for constructing van Kampen diagrams by referring to a preferred direction. In good ca...
Patrick Dehornoy
FOCS
2009
IEEE
15 years 4 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
APCSAC
2004
IEEE
15 years 1 months ago
A Compiler-Assisted On-Chip Assigned-Signature Control Flow Checking
As device sizes continue shrinking, lower charges are needed to activate gates, and consequently ever smaller external events (such as single ionizing particles of naturally occurr...
Xiaobin Li, Jean-Luc Gaudiot