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SIAMDM
2008
190views more  SIAMDM 2008»
13 years 7 months ago
On the Complexity of Ordered Colorings
We introduce two variants of proper colorings with imposed partial ordering on the set of colors. One variant shows very close connections to some fundamental problems in graph the...
Arvind Gupta, Jan van den Heuvel, Ján Manuc...
CORR
2010
Springer
180views Education» more  CORR 2010»
13 years 5 months ago
Shortest path problem in rectangular complexes of global nonpositive curvature
Abstract. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
Victor Chepoi, Daniela Maftuleac
IJAC
2007
116views more  IJAC 2007»
13 years 7 months ago
On the Complexity of the Whitehead Minimization Problem
The Whitehead minimization problem consists in finding a minimum size element in the automorphic orbit of a word, a cyclic word or a finitely generated subgroup in a finite rank...
Abdó Roig, Enric Ventura, Pascal Weil
ICPR
2008
IEEE
14 years 2 months ago
Birkhoff polytopes, heat kernels and graph complexity
In this paper we use doubly stochastic matrices to establish a link between Birkhoff polytopes and heat kernels on graphs. Based on this analysis we construct a multi-dimensional ...
Francisco Escolano, Edwin R. Hancock, Miguel Angel...
FOCS
1993
IEEE
13 years 11 months ago
On Bounded Queries and Approximation
This paper investigates the computational complexity of approximating several NPoptimization problems using the number of queries to an NP oracle as a complexity measure. The resu...
Richard Chang, William I. Gasarch