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DISOPT
2008
107views more  DISOPT 2008»
13 years 9 months ago
The k-path tree matroid and its applications to survivable network design
We define the k-path tree matroid, and use it to solve network design problems in which the required connectivity is arbitrary for a given pair of nodes, and 1 for the other pairs...
Esther M. Arkin, Refael Hassin
GECCO
2004
Springer
123views Optimization» more  GECCO 2004»
14 years 3 months ago
Heuristic Methods for Solving Euclidean Non-uniform Steiner Tree Problems
In this paper, we consider a variation of the Euclidean Steiner Tree Problem in which the space underlying the set of nodes has a specified non-uniform cost structure. This proble...
Ian Frommer, Bruce L. Golden, Guruprasad Pundoor
CCCG
2008
13 years 11 months ago
Computing the Stretch Factor of Paths, Trees, and Cycles in Weighted Fixed Orientation Metrics
Let G be a graph embedded in the L1-plane. The stretch factor of G is the maximum over all pairs of distinct vertices p and q of G of the ratio LG 1 (p, q)/L1(p, q), where LG 1 (p...
Christian Wulff-Nilsen
SODA
1998
ACM
144views Algorithms» more  SODA 1998»
13 years 11 months ago
Analysis of Random Processes via And-Or Tree Evaluation
We introduce a new set of probabilistic analysis tools based on the analysis of And-Or trees with random inputs. These tools provide a unifying, intuitive, and powerful framework ...
Michael Luby, Michael Mitzenmacher, Mohammad Amin ...
ICANN
2010
Springer
13 years 10 months ago
Visualising Clusters in Self-Organising Maps with Minimum Spanning Trees
Abstract. The Self-Organising Map (SOM) is a well-known neuralnetwork model that has successfully been used as a data analysis tool in many different domains. The SOM provides a to...
Rudolf Mayer, Andreas Rauber