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» Spanning Trees and Shortest Paths in Monge Graphs
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RSA
2010
118views more  RSA 2010»
13 years 6 months ago
Weight of a link in a shortest path tree and the Dedekind Eta function
The weight of a randomly chosen link in the shortest path tree on the complete graph with exponential i.i.d. link weights is studied. The corresponding exact probability generatin...
Piet Van Mieghem
STACS
2007
Springer
14 years 1 months ago
Light Orthogonal Networks with Constant Geometric Dilation
An orthogonal spanner network for a given set of n points in the plane is a plane straight line graph with axis-aligned edges that connects all input points. We show that for any ...
Adrian Dumitrescu, Csaba D. Tóth
SAC
2000
ACM
14 years 2 days ago
A Weighted Coding in a Genetic Algorithm for the Degree-Constrained Minimum Spanning Tree Problem
The coding by which chromosomes represent candidate solutions is a fundamental design choice in a genetic algorithm. This paper describes a novel coding of spanning trees in a gen...
Günther R. Raidl, Bryant A. Julstrom
NETWORKS
2006
13 years 7 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner
SIGECOM
2003
ACM
124views ECommerce» more  SIGECOM 2003»
14 years 29 days ago
Coalitional games on graphs: core structure, substitutes and frugality
We study mechanisms that can be modelled as coalitional games with transferable utilities, and apply ideas from mechanism design and game theory to problems arising in a network d...
Rahul Garg, Vijay Kumar, Atri Rudra, Akshat Verma