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» Routing Tree Problems on Random Graphs
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FCT
2009
Springer
13 years 12 months ago
Martingales on Trees and the Empire Chromatic Number of Random Trees
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Colin Cooper, Andrew R. A. McGrae, Michele Zito
SODA
1997
ACM
106views Algorithms» more  SODA 1997»
13 years 6 months ago
Optimal Bounds for Matching Routing on Trees
The permutation routing problem is studied for trees under the matching model. By introducing a novel and useful (so-called) caterpillar tree partition, we prove that any permutati...
Louxin Zhang
GECCO
2005
Springer
156views Optimization» more  GECCO 2005»
13 years 10 months ago
The blob code is competitive with edge-sets in genetic algorithms for the minimum routing cost spanning tree problem
Among the many codings of spanning trees for evolutionary search are those based on bijections between Pr¨ufer strings—strings of n−2 vertex labels—and spanning trees on th...
Bryant A. Julstrom
STOC
1993
ACM
109views Algorithms» more  STOC 1993»
13 years 9 months ago
Routing permutations on graphs via matchings
We consider a class of routing problems on connected graphs G. Initially, each vertex v of G is occupied by a “pebble” which has a unique destination π(v) in G (so that π is...
Noga Alon, Fan R. K. Chung, Ronald L. Graham
COR
2006
94views more  COR 2006»
13 years 5 months ago
A comparison of two different formulations for arc routing problems on mixed graphs
Arc Routing Problems on mixed graphs have been modelled in the literature either using just one variable per edge or associating to each edge two variables, each one representing ...
Angel Corberán, Enrique Mota, José M...