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SODA
2007
ACM
127views Algorithms» more  SODA 2007»
13 years 10 months ago
Line-of-sight networks
Random geometric graphs have been one of the fundamental models for reasoning about wireless networks: one places n points at random in a region of the plane (typically a square o...
Alan M. Frieze, Jon M. Kleinberg, R. Ravi, Warren ...
ARSCOM
2002
70views more  ARSCOM 2002»
13 years 9 months ago
On the Number of Graphical Forest Partitions
A graphical partition of the even integer n is a partition of n where each part of the partition is the degree of a vertex in a simple graph and the degree sum of the graph is n. ...
Deborah A. Frank, Carla D. Savage, James A. Seller...
CDC
2008
IEEE
122views Control Systems» more  CDC 2008»
14 years 3 months ago
On the number of leaders needed to ensure network connectivity
— In this paper we examine the leader-to-follower ratio needed to maintain connectivity in a leader-follower multiagent network with proximity based communication topology. In th...
Dimos V. Dimarogonas, Tove Gustavi, Magnus Egerste...
COMGEO
2006
ACM
13 years 9 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
GD
2000
Springer
14 years 23 days ago
Labeling Points with Rectangles of Various Shapes
Abstract. We deal with a map-labeling problem, named LOFL (Leftpart Ordered Flexible Labeling), to label a set of points in a plane with polygonal obstacles. The label for each poi...
Shin-Ichi Nakano, Takao Nishizeki, Takeshi Tokuyam...