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» Lower bounds on the obstacle number of graphs
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2010
ACM
228views Algorithms» more  STOC 2010»
14 years 22 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
COMPGEOM
2010
ACM
14 years 29 days ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
CCCG
2008
13 years 9 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
SPAA
2010
ACM
14 years 21 days ago
Delays induce an exponential memory gap for rendezvous in trees
The aim of rendezvous in a graph is meeting of two mobile agents at some node of an unknown anonymous connected graph. The two identical agents start from arbitrary nodes in the g...
Pierre Fraigniaud, Andrzej Pelc
INFOCOM
2009
IEEE
14 years 2 months ago
Delay Guarantees for Throughput-Optimal Wireless Link Scheduling
—We consider the question of obtaining tight delay guarantees for throughout-optimal link scheduling in arbitrary topology wireless ad-hoc networks. We consider two classes of sc...
Koushik Kar, Xiang Luo, Saswati Sarkar