Minimizing movement

ED Demaine, MT Hajiaghayi, H Mahini… - ACM Transactions on …, 2009 - dl.acm.org
We give approximation algorithms and inapproximability results for a class of movement
problems. In general, these problems involve planning the coordinated motion of a large …

Dark-field microscopic image stitching method for surface defects evaluation of large fine optics

D Liu, S Wang, P Cao, L Li, Z Cheng, X Gao… - Optics express, 2013 - opg.optica.org
One of the challenges in surface defects evaluation of large fine optics is to detect defects of
microns on surfaces of tens or hundreds of millimeters. Sub-aperture scanning and stitching …

[HTML][HTML] Parameterized complexity of broadcasting in graphs

FV Fomin, P Fraigniaud, PA Golovach - Theoretical Computer Science, 2024 - Elsevier
The task of the broadcast problem is, given a graph G and a source vertex s, to compute the
minimum number of rounds required to disseminate a piece of information from s to all …

2-Disjoint-path-coverable panconnectedness of crossed cubes

HC Chen, TL Kung, LY Hsu - The Journal of Supercomputing, 2015 - Springer
The crossed cube is a popular network topology because it possesses many attractive
topological properties and its diameter is about half that of the hypercube. Typically, a …

[HTML][HTML] On the complexity of the shortest-path broadcast problem

P Crescenzi, P Fraigniaud, M Halldorsson… - Discrete Applied …, 2016 - Elsevier
We study the shortest-path broadcast problem in graphs and digraphs, where a message
has to be transmitted from a source node s to all the nodes along shortest paths, in the …

Efficient multicast on irregular switch-based cut-through networks with up-down routing

R Kesavan, DK Panda - IEEE Transactions on Parallel and …, 2001 - ieeexplore.ieee.org
The irregular switch-based network of workstations is fast becoming a cost-effective platform
for high performance computing. This paper presents efficient multicasting with reduced link …

Complexity results and heuristics for pipelined multicast operations on heterogeneous platforms

O Beaumont, A Legrand, L Marchal… - … Conference on Parallel …, 2004 - ieeexplore.ieee.org
We consider the communications involved by the execution of a complex application
deployed on a heterogeneous platform. Such applications extensively use macro …

Polynomial-Time algorithms for minimum-time broadcast in trees

Fraigniaud, Mitjana - Theory of Computing Systems, 2002 - Springer
This paper addresses the minimum-time broadcast problem under several modes of the line
model, ie, when long-distance calls can be placed along paths in the network. It is well …

[图书][B] Scheduling calls for multicasting in tree-networks

J Cohen, P Fraigniaud, M Mitjana - 1998 - Citeseer
In this paper, we show that the multicast problem in trees can be expressed in term of
arranging rows and columns of boolean matrices. Given apq matrix M with 0-1 entries, the …

Complexity results for collective communications on heterogeneous platforms

O Beaumont, L Marchal… - The International Journal …, 2006 - journals.sagepub.com
In this paper, we consider the communications involved in the execution of a complex
application, deployed on a heterogeneous platform. Such applications extensively use …