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» On a Conjecture Related to Geometric Routing
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ESA
2003
Springer
189views Algorithms» more  ESA 2003»
13 years 10 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
SIAMDM
2000
103views more  SIAMDM 2000»
13 years 5 months ago
Directional Routing via Generalized st-Numberings
We present a mathematical model for network routing based on generating paths in a consistent direction. Our development is based on an algebraic and geometric framework for defini...
Fred S. Annexstein, Kenneth A. Berman
CORR
2010
Springer
78views Education» more  CORR 2010»
13 years 5 months ago
Flow-Cut Gaps for Integer and Fractional Multiflows
Consider a routing problem instance consisting of a demand graph H = (V, E(H)) and a supply graph G = (V, E(G)). If the pair obeys the cut condition, then the flow-cut gap for thi...
Chandra Chekuri, F. Bruce Shepherd, Christophe Wei...
WADS
1993
Springer
163views Algorithms» more  WADS 1993»
13 years 9 months ago
Minimum Weight Euclidean Matching and Weighted Relative Neighborhood Graphs
The Minimum Weight Euclidean Matching (MWEM) problem is: given 2n point sites in the plane with Euclidean metric for interpoint distances, match the sites into n pairs so that the...
Andy Mirzaian
JCT
2010
144views more  JCT 2010»
13 years 3 months ago
Combinatorics of generalized q-Euler numbers
Abstract. New enumerating functions for the Euler numbers are considered. Several of the relevant generating functions appear in connection to entries in Ramanujan’s Lost Noteboo...
Tim Huber, Ae Ja Yee