Presentation 2020-03-01
[Invited Talk] Adaptive Algorithm for Finding Connected Dominating Sets in Uncertain Graphs
Takuro Fukunaga,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) The problem of finding a minimum-weight connected dominating set (CDS) of a given undirected graph has been studied actively, motivated by operations of wireless ad hoc networks. In this paper, we formulate a new stochastic variant of the problem. In this problem, each node in the graph has a hidden random state, which represents whether the node is active or inactive, and we seek a CDS of the graph that consists of the active nodes. We consider an adaptive algorithm for this problem, which repeat choosing nodes and observing the states of the nodes around the chosen nodes until a CDS is found. Our algorithms have a theoretical performance guarantee that the sum of the weights of the nodes chosen by the algorithm is at most O(alpha log (1/delta)) times that of any adaptive algorithm in expectation, where alph$ is an approximation factor for the node-weighted polymatroid Steiner tree problem and delta is the minimum probability of possible scenarios on the node states.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) connected dominating set / adaptive optimization / polymatroid Steiner tree
Paper # COMP2019-48
Date of Issue 2020-02-23 (COMP)

Conference Information
Committee COMP
Conference Date 2020/3/1(1days)
Place (in Japanese) (See Japanese page)
Place (in English) The University of Electro-Communications
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Toshihiro Fujito(Toyohashi Univ. of Tech.)
Vice Chair Shinichi Nakano(Gunma Univ.)
Secretary Shinichi Nakano(Kumamoto Univ)
Assistant Kazuhisa Seto(Seikei Univ.)

Paper Information
Registration To Technical Committee on Theoretical Foundations of Computing
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) [Invited Talk] Adaptive Algorithm for Finding Connected Dominating Sets in Uncertain Graphs
Sub Title (in English)
Keyword(1) connected dominating set
Keyword(2) adaptive optimization
Keyword(3) polymatroid Steiner tree
1st Author's Name Takuro Fukunaga
1st Author's Affiliation Chuo University(Chuo Univ.)
Date 2020-03-01
Paper # COMP2019-48
Volume (vol) vol.119
Number (no) COMP-433
Page pp.pp.23-23(COMP),
#Pages 1
Date of Issue 2020-02-23 (COMP)