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» On tree congestion of graphs
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EJC
2008
14 years 10 months ago
Dyck paths with coloured ascents
We introduce a notion of Dyck paths with coloured ascents. For several ways of colouring, when the set of colours is itself some class of lattice paths, we establish bijections be...
Andrei Asinowski, Toufik Mansour
IPL
2008
95views more  IPL 2008»
14 years 10 months ago
Distortion lower bounds for line embeddings
In this paper, we show how we can derive lower bounds and also compute the exact distortion for the line embeddings of some special metrics, especially trees and graphs with certai...
Claire Mathieu, Charalampos Papamanthou
JGT
2008
150views more  JGT 2008»
14 years 10 months ago
Cycle spaces in topological spaces
: We develop a general model of edge spaces in order to generalize, unify, and simplify previous work on cycle spaces of infinite graphs. We give simple topological criteria to sho...
Antoine Vella, R. Bruce Richter
SIAMCOMP
2008
104views more  SIAMCOMP 2008»
14 years 9 months ago
A Group-Strategyproof Cost Sharing Mechanism for the Steiner Forest Game
We consider a game-theoretical variant of the Steiner forest problem in which each player j, out of a set of k players, strives to connect his terminal pair (sj, tj) of vertices in...
Jochen Könemann, Stefano Leonardi, Guido Sch&...
SIAMCOMP
2000
118views more  SIAMCOMP 2000»
14 years 9 months ago
On Bipartite Drawings and the Linear Arrangement Problem
The bipartite crossing number problem is studied, and a connection between this problem and the linear arrangement problem is established. It is shown that when the arboricity is ...
Farhad Shahrokhi, Ondrej Sýkora, Lás...