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AMAI
2008
Springer
15 years 2 months ago
The giving tree: constructing trees for efficient offline and online multi-robot coverage
This paper discusses the problem of building efficient coverage paths for a team of robots. An efficient multi-robot coverage algorithm should result in a coverage path for every ...
Noa Agmon, Noam Hazon, Gal A. Kaminka
AAIM
2011
Springer
337views Algorithms» more  AAIM 2011»
14 years 5 months ago
On Variants of the Spanning Star Forest Problem
A star forest is a collection of vertex-disjoint trees of depth at most 1, and its size is the number of leaves in all its components. A spanning star forest of a given graph G is ...
Jing He, Hongyu Liang
IPPS
1998
IEEE
15 years 6 months ago
Ultrafast Randomized Parallel Construction and Approximation Algorithms for Spanning Forests in Dense Graphs
We present a rst randomized Ologk n time and On+m work CRCWPRAM algorithm for nding a spanning forest of an undirected dense graph with n vertices. Furthermore we construct a rando...
Anders Dessmark, Carsten Dorgerloh, Andrzej Lingas...
DAM
2008
83views more  DAM 2008»
15 years 2 months ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev
ASPDAC
2005
ACM
158views Hardware» more  ASPDAC 2005»
15 years 3 months ago
The polygonal contraction heuristic for rectilinear Steiner tree construction
— Motivated by VLSI/ULSI routing applications, we present a heuristic for rectilinear Steiner minimal tree (RSMT) construction. We transform a rectilinear minimum spanning tree (...
Yin Wang, Xianlong Hong, Tong Jing, Yang Yang, Xia...