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ALGORITHMICA
2008
142views more  ALGORITHMICA 2008»
13 years 7 months ago
New Linear-Time Algorithms for Edge-Coloring Planar Graphs
We show efficient algorithms for edge-coloring planar graphs. Our main result is a linear-time algorithm for coloring planar graphs with maximum degree with max{, 9} colors. Thus...
Richard Cole, Lukasz Kowalik
SCL
2010
86views more  SCL 2010»
13 years 6 months ago
Stability radii for positive linear time-invariant systems on time scales
We deal with dynamic equations on time scales, where we characterize the positivity of a system. Uniform exponential stability of a system is determined by the spectrum of its mat...
T. S. Doan, A. Kalauch, Stefan Siegmund, Fabian Wi...
ICIAP
2007
ACM
14 years 7 months ago
Interval-Based Linear Hybrid Dynamical System for Modeling Cross-Media Timing Structures in Multimedia Signals
In this paper, we propose a computational scheme named an interval-based linear hybrid dynamical system (ILHDS) to represent complex dynamic events based on temporal intervals, ea...
Hiroaki Kawashima, Takashi Matsuyama
STOC
2006
ACM
114views Algorithms» more  STOC 2006»
14 years 8 months ago
Linear time low tree-width partitions and algorithmic consequences
Classes of graphs with bounded expansion have been introduced in [15], [12]. They generalize both proper minor closed classes and classes with bounded degree. For any class with b...
Jaroslav Nesetril, Patrice Ossona de Mendez
ISPD
1998
ACM
101views Hardware» more  ISPD 1998»
13 years 12 months ago
Greedy wire-sizing is linear time
—The greedy wire-sizing algorithm (GWSA) has been experimentally shown to be very efficient, but no mathematical analysis on its convergence rate has ever been reported. In this...
Chris C. N. Chu, D. F. Wong