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» Spanning Trees and Shortest Paths in Monge Graphs
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INFOVIS
2003
IEEE
14 years 29 days ago
Visualizing Evolving Networks: Minimum Spanning Trees versus Pathfinder Networks
Network evolution is a ubiquitous phenomenon in a wide variety of complex systems. There is an increasing interest in statistically modeling the evolution of complex networks such...
Chaomei Chen, Steven Morris
ORL
2010
85views more  ORL 2010»
13 years 6 months ago
Stable routing under the Spanning Tree Protocol
The Spanning Tree Protocol routes traffic on shortest path trees. If some edges fail, the traffic has to be rerouted consequently, setting up alternative trees. In this paper we d...
Fabrizio Grandoni, Gaia Nicosia, Gianpaolo Oriolo,...
SODA
2010
ACM
205views Algorithms» more  SODA 2010»
14 years 5 months ago
Maximum Flows and Parametric Shortest Paths in Planar Graphs
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
Jeff Erickson
CORR
2012
Springer
195views Education» more  CORR 2012»
12 years 3 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson
CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 7 months ago
Universal Loop-Free Super-Stabilization
Abstract. We propose an univesal scheme to design loop-free and superstabilizing protocols for constructing spanning trees optimizing any tree metrics (not only those that are isom...
Lélia Blin, Maria Potop-Butucaru, Stephane ...