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| Content Provider | Springer Nature Link |
|---|---|
| Author | Cooper, Colin Ilcinkas, David Klasing, Ralf Kosowski, Adrian |
| Copyright Year | 2011 |
| Abstract | We consider the problem of exploring an anonymous undirected graph using an oblivious robot. The studied exploration strategies are designed so that the next edge in the robot’s walk is chosen using only local information, and so that some local equity (fairness) criterion is satisfied for the adjacent undirected edges. Such strategies can be seen as an attempt to derandomize random walks, and are natural counterparts for undirected graphs of the rotor-router model for symmetric directed graphs. The first of the studied strategies, known as Oldest-First, always chooses the neighboring edge for which the most time has elapsed since its last traversal. Unlike in the case of symmetric directed graphs, we show that such a strategy in some cases leads to exponential cover time. We then consider another strategy called Least-Used-First which always uses adjacent edges which have been traversed the smallest number of times. We show that any Least-Used-First exploration covers a graph G = (V, E) of diameter D within time O(D|E|), and in the long run traverses all edges of G with the same frequency. |
| Starting Page | 91 |
| Ending Page | 99 |
| Page Count | 9 |
| File Format | |
| ISSN | 01782770 |
| Journal | Distributed Computing |
| Volume Number | 24 |
| Issue Number | 2 |
| e-ISSN | 14320452 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2011-09-11 |
| Publisher Place | Berlin/Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Graph exploration Random walk Rotor-router model Local knowledge Deterministic strategy Computer Systems Organization and Communication Networks Computer Hardware Software Engineering/Programming and Operating Systems Computer Communication Networks Theory of Computation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Theoretical Computer Science Computer Networks and Communications Computational Theory and Mathematics Hardware and Architecture |
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