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GD
2004
Springer
16 years 2 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»
15 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»
16 years 5 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»
15 years 6 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»
15 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