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DISOPT
2008
107views more  DISOPT 2008»
15 years 3 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»
15 years 8 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
15 years 4 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»
15 years 4 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
15 years 4 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