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JCT
2006
67views more  JCT 2006»
13 years 4 months ago
On the coexistence of conference matrices and near resolvable 2-(2k+1, k, k-1) designs
We show that a near resolvable 2-(2k + 1, k, k - 1) design exists if and only if a conference matrix of order 2k + 2 does. A known result on conference matrices then allows us to ...
Malcolm Greig, Harri Haanpää, Petteri Ka...
AAIM
2010
Springer
155views Algorithms» more  AAIM 2010»
13 years 8 months ago
The (K, k)-Capacitated Spanning Tree Problem
Abstract. This paper considers a generalization of the capacitated spanning tree, in which some of the nodes have capacity K, and the others have capacity k < K. We prove that t...
Esther M. Arkin, Nili Guttmann-Beck, Refael Hassin
APPROX
2010
Springer
193views Algorithms» more  APPROX 2010»
13 years 6 months ago
Approximation Algorithms for the Directed k-Tour and k-Stroll Problems
We consider two natural generalizations of the Asymmetric Traveling Salesman problem: the k-Stroll and the k-Tour problems. The input to the k-Stroll problem is a directed n-verte...
MohammadHossein Bateni, Julia Chuzhoy
COMBINATORICS
1999
73views more  COMBINATORICS 1999»
13 years 4 months ago
A [k, k+1]-Factor Containing A Given Hamiltonian Cycle
We prove the following best possible result. Let k 2 be an integer and G be a graph of order n with minimum degree at least k. Assume n 8k - 16 for even n and n 6k-13 for odd n...
Mao-cheng Cai, Yanjun Li, Mikio Kano
MDM
2005
Springer
118views Communications» more  MDM 2005»
13 years 10 months ago
kNR-tree: a novel R-tree-based index for facilitating spatial window queries on any k relations among N spatial relations in mob
The ever-increasing popularity of mobile applications coupled with the prevalence of spatial data has created the need for efficient processing of spatial queries in mobile enviro...
Anirban Mondal, Anthony K. H. Tung, Masaru Kitsure...