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COMBINATORICS
2006
107views more  COMBINATORICS 2006»
15 years 6 months ago
The Linear Complexity of a Graph
The linear complexity of a matrix is a measure of the number of additions, subtractions, and scalar multiplications required to multiply that matrix and an arbitrary vector. In th...
David L. Neel, Michael E. Orrison
COMBINATORICS
2006
135views more  COMBINATORICS 2006»
15 years 6 months ago
Drawing a Graph in a Hypercube
A d-dimensional hypercube drawing of a graph represents the vertices by distinct points in {0, 1}d, such that the line-segments representing the edges do not cross. We study lower...
David R. Wood
JCT
2006
70views more  JCT 2006»
15 years 6 months ago
Sparse halves in triangle-free graphs
One of Erdos' favourite conjectures was that any triangle-free graph G on n vertices should contain a set of n/2 vertices that spans at most n2/50 edges. We prove this when t...
Peter Keevash, Benny Sudakov
SIAMDM
2008
79views more  SIAMDM 2008»
15 years 6 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...
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COCOON
2009
Springer
16 years 1 months ago
Convex Recoloring Revisited: Complexity and Exact Algorithms
We take a new look at the convex path recoloring (CPR), convex tree recoloring (CTR), and convex leaf recoloring (CLR) problems through the eyes of the independent set problem. Th...
Iyad A. Kanj, Dieter Kratsch