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» New bounds on the edge number of a k-map graph
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STOC
1995
ACM
115views Algorithms» more  STOC 1995»
14 years 13 days ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
14 years 1 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
WWW
2011
ACM
13 years 3 months ago
Finding the bias and prestige of nodes in networks based on trust scores
Many real-life graphs such as social networks and peer-topeer networks capture the relationships among the nodes by using trust scores to label the edges. Important usage of such ...
Abhinav Mishra, Arnab Bhattacharya
CCCG
2008
13 years 10 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 1 months 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