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160
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ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
15 years 1 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
134
Voted
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
15 years 4 months ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...
112
Voted
LICS
2009
IEEE
15 years 9 months ago
An Algebra for Kripke Polynomial Coalgebras
Several dynamical systems, such as deterministic automata and labelled transition systems, can be described as coalgebras of so-called Kripke polynomial functors, built up from co...
Marcello M. Bonsangue, Jan J. M. M. Rutten, Alexan...
116
Voted
COCO
2007
Springer
106views Algorithms» more  COCO 2007»
15 years 8 months ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod
129
Voted
ISSAC
2009
Springer
155views Mathematics» more  ISSAC 2009»
15 years 9 months ago
Parallel sparse polynomial multiplication using heaps
We present a high performance algorithm for multiplying sparse distributed polynomials using a multicore processor. Each core uses a heap of pointers to multiply parts of the poly...
Michael B. Monagan, Roman Pearce