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» Noncrossing Trees and Noncrossing Graphs
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DM
2008
82views more  DM 2008»
13 years 4 months ago
2-Binary trees: Bijections and related issues
A 2-binary tree is a binary rooted tree whose root is colored black and the other vertices are either black or white. We present several bijections concerning different types of 2...
Nancy S. S. Gu, Nelson Y. Li, Toufik Mansour
STACS
2010
Springer
13 years 11 months ago
Long Non-crossing Configurations in the Plane
We revisit several maximization problems for geometric networks design under the non-crossing constraint, first studied by Alon, Rajagopalan and Suri (ACM Symposium on Computation...
Noga Alon, Sridhar Rajagopalan, Subhash Suri
JCT
2007
94views more  JCT 2007»
13 years 4 months ago
A bijection between 2-triangulations and pairs of non-crossing Dyck paths
A k-triangulation of a convex polygon is a maximal set of diagonals so that no k + 1 of them mutually cross in their interiors. We present a bijection between 2-triangulations of a...
Sergi Elizalde
GC
2004
Springer
13 years 10 months ago
BGP-Based Clustering for Scalable and Reliable Gossip Broadcast
This paper presents a locality-based dissemination graph algorithm for scalable reliable broadcast. Our algorithm scales in terms of both network and memory usage. Processes only h...
M. Brahami, Patrick Th. Eugster, Rachid Guerraoui,...
ESA
2010
Springer
273views Algorithms» more  ESA 2010»
13 years 5 months ago
Minimum Vertex Cover in Rectangle Graphs
We consider the Minimum Vertex Cover problem in intersection graphs of axis-parallel rectangles on the plane. We present two algorithms: The first is an EPTAS for non-crossing rect...
Reuven Bar-Yehuda, Danny Hermelin, Dror Rawitz