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» On Central Spanning Trees of a Graph
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COCO
2007
Springer
87views Algorithms» more  COCO 2007»
15 years 4 months ago
Parity Problems in Planar Graphs
We consider the problem of counting the number of spanning trees in planar graphs. We prove tight bounds on the complexity of the problem, both in general and especially in the mo...
Mark Braverman, Raghav Kulkarni, Sambuddha Roy
CORR
2010
Springer
164views Education» more  CORR 2010»
14 years 10 months ago
Schnyder decompositions for regular plane graphs and application to drawing
Schnyder woods are decompositions of simple triangulations into three edge-disjoint spanning trees crossing each other in a specific way. In this article, we define a generalizatio...
Olivier Bernardi, Éric Fusy
GECCO
2003
Springer
189views Optimization» more  GECCO 2003»
15 years 3 months ago
A Forest Representation for Evolutionary Algorithms Applied to Network Design
Abstract. Network design involves several areas of engineering and science. Computer networks, electrical circuits, transportation problems, and phylogenetic trees are some example...
Alexandre C. B. Delbem, André Carlos Ponce ...
SIAMDM
2008
139views more  SIAMDM 2008»
14 years 9 months ago
Approximate Integer Decompositions for Undirected Network Design Problems
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...
Chandra Chekuri, F. Bruce Shepherd
ACID
2006
298views Algorithms» more  ACID 2006»
14 years 11 months ago
Congestion Games: Optimization in Competition
In a congestion game, several players simultaneously aim at allocating sets of resources, e.g., each player aims at allocating a shortest path between a source/destination pair in ...
Berthold Vöcking