A Single Agent Exploration in Unknown Undirected Graphs with Whiteboards
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- SUDO Yuichi
- NTT Secure Platform Laboratories, NTT Corporation Graduate School of Information Science and Technology, Osaka University
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- BABA Daisuke
- TIS Inc.
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- NAKAMURA Junya
- Information and Media Center, Toyohashi University of Technology
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- OOSHITA Fukuhito
- Graduate School of Information Science and Technology, Osaka University
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- KAKUGAWA Hirotsugu
- Graduate School of Information Science and Technology, Osaka University
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- MASUZAWA Toshimitsu
- Graduate School of Information Science and Technology, Osaka University
Abstract
We consider the exploration problem with a single agent in an undirected graph. The problem requires the agent starting from an arbitrary node to explore all the nodes and edges in the graph and return to the starting node. Our goal is to minimize both the number of agent moves and the memory size of the agent, which dominate the amount of communication during the exploration. We focus on the local memory called the whiteboard of each node. There are several exploration algorithms which are very fast (i.e. the exploration is completed within a small number of agent moves such as 2m and m+3n) and do not use whiteboards. These algorithms, however, require large agent memory because the agent must keep the entire information in its memory to explore a graph. We achieve the above goal by reducing the agent memory size of such algorithms with using whiteboards. Specifically, we present two algorithms with no agent memory based on the traditional depth-first traversal and two algorithms with O(n) and O(nlog n) space of agent memory respectively based on the fastest algorithms in the literature by Panaite and Pelc [J. Alg., Vol.33 No.2, 1999].
Journal
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- IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E98.A (10), 2117-2128, 2015
The Institute of Electronics, Information and Communication Engineers
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Keywords
Details 詳細情報について
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- CRID
- 1390282681286710912
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- NII Article ID
- 120005895730
- 130005100673
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- ISSN
- 17451337
- 09168508
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- HANDLE
- 10061/11101
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- Text Lang
- en
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- Data Source
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- JaLC
- IRDB
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed