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AMAI
2008
Springer
13 years 9 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»
13 years 13 days 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
14 years 1 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»
13 years 9 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»
13 years 10 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...