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GD
2004
Springer
14 years 23 days ago
Really Straight Graph Drawings
We study straight-line drawings of graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-trees, a...
Vida Dujmovic, Matthew Suderman, David R. Wood
CORR
2010
Springer
178views Education» more  CORR 2010»
13 years 4 months ago
Is Light-Tree Structure Optimal for Multicast Routing in Sparse Light Splitting WDM Networks?
To minimize the number of wavelengths required by a multicast session in sparse light splitting Wavelength Division Multiplexing (WDM) networks, a light-hierarchy structure, which ...
Fen Zhou, Miklós Molnár, Bernard Cou...
IWDC
2005
Springer
156views Communications» more  IWDC 2005»
14 years 27 days ago
Labeling Schemes for Tree Representation
This paper deals with compact label-based representations for trees. Consider an n-node undirected connected graph G with a predefined numbering on the ports of each node. The al...
Reuven Cohen, Pierre Fraigniaud, David Ilcinkas, A...
MONET
2006
103views more  MONET 2006»
13 years 7 months ago
Minimum-Energy Broadcasting in Multi-hop Wireless Networks Using a Single Broadcast Tree
In this paper we address the minimum-energy broadcast problem in multi-hop wireless networks, so that all broadcast requests initiated by different source nodes take place on the s...
Ioannis Papadimitriou, Leonidas Georgiadis
RSA
2010
108views more  RSA 2010»
13 years 5 months ago
Resolvent of large random graphs
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
Charles Bordenave, Marc Lelarge