3 research outputs found
Scheduling Start Time Dependent Tasks with Deadlines and Identical Initial Processing Times on a Single Machine
Author name used in this publication: T. C. E. Cheng2002-2003 > Academic research: refereed > Publication in refereed journalpreprint_postprin
Connected searching of weighted trees
AbstractIn this paper we consider the problem of connected edge searching of weighted trees. Barrière et al. claim in [L. Barrière, P. Flocchini, P. Fraigniaud, N. Santoro, Capture of an intruder by mobile agents, in: SPAA’02: Proceedings of the Fourteenth Annual ACM Symposium on Parallel Algorithms and Architectures, ACM, New York, NY, USA, 2002, pp. 200–209] that there exists a polynomial-time algorithm for finding an optimal search strategy, that is, a strategy that minimizes the number of used searchers. However, due to some flaws in their algorithm, the problem turns out to be open. It is proven in this paper that the considered problem is strongly NP-complete even for node-weighted trees (the weight of each edge is 1) with one vertex of degree greater than 2. It is also shown that there exists a polynomial-time algorithm for finding an optimal connected search strategy for a given bounded degree tree with arbitrary weights on the edges and on the vertices. This is an FPT algorithm with respect to the maximum degree of a tree
オンラインナップサックと関連する諸問題に対するアルゴリズム論的研究
学位の種別:課程博士University of Tokyo(東京大学