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» Bounding the Number of Edges in Permutation Graphs
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CCCG
2008
13 years 8 months ago
Memory Requirements for Local Geometric Routing and Traversal in Digraphs
Local route discovery in geometric, strongly connected, undirected plane graphs is guaranteed by the Face Routing algorithm. The algorithm is local and geometric in the sense that...
Maia Fraser, Evangelos Kranakis, Jorge Urrutia
STOC
2010
ACM
228views Algorithms» more  STOC 2010»
14 years 7 days ago
On the searchability of small-world networks with arbitrary underlying structure
Revisiting the “small-world” experiments of the ’60s, Kleinberg observed that individuals are very effective at constructing short chains of acquaintances between any two p...
Pierre Fraigniaud and George Giakkoupis
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
11 years 9 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
14 years 26 days ago
On the Minimum Load Coloring Problem
Given a graph G = (V, E) with n vertices, m edges and maximum vertex degree ∆, the load distribution of a coloring ϕ : V → {red, blue} is a pair dϕ = (rϕ, bϕ), where rϕ i...
Nitin Ahuja, Andreas Baltz, Benjamin Doerr, Ales P...
GD
1998
Springer
13 years 11 months ago
Drawing Large Graphs with H3Viewer and Site Manager
We demonstrate the H3Viewer graph drawing library, which can be run from a standalone program or in conjunction with other programs such as SGI's Site Manager application. Our...
Tamara Munzner