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» On the Complexity of the Whitehead Minimization Problem
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CATS
2008
13 years 9 months ago
Graph Classes and the Complexity of the Graph Orientation Minimizing the Maximum Weighted Outdegree
Given an undirected graph with edge weights, we are asked to find an orientation, i.e., an assignment of a direction to each edge, so as to minimize the weighted maximum outdegree...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono
CIAC
2010
Springer
263views Algorithms» more  CIAC 2010»
14 years 5 months ago
The Complexity of Computing Minimal Unidirectional Covering Sets
Abstract. Given a binary dominance relation on a set of alternatives, a common thread in the social sciences is to identify subsets of alternatives that satisfy certain notions of ...
Dorothea Baumeister, Felix Brandt, Felix Fischer, ...
INFOCOM
2007
IEEE
14 years 2 months ago
Low-Complexity and Distributed Energy Minimization in Multi-Hop Wireless Networks
— In this work, we study the problem of minimizing the total power consumption in a multi-hop wireless network subject to a given offered load. It is well-known that the total po...
Longbi Lin, Xiaojun Lin, Ness B. Shroff
AAIM
2005
Springer
122views Algorithms» more  AAIM 2005»
14 years 1 months ago
Complexity of Minimal Tree Routing and Coloring
Let G be a undirected connected graph. Given a set of g groups each being a subset of V (G), tree routing and coloring is to produce g trees in G and assign a color to each of them...
Xujin Chen, Xiao-Dong Hu, Xiaohua Jia
FOCS
2007
IEEE
14 years 2 months ago
On the Hardness and Smoothed Complexity of Quasi-Concave Minimization
In this paper, we resolve the smoothed and approximative complexity of low-rank quasi-concave minimization, providing both upper and lower bounds. As an upper bound, we provide th...
Jonathan A. Kelner, Evdokia Nikolova