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https://hdl.handle.net/10119/15125
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| Title: | Sliding Tokens on a Cactus |
| Authors: | Hoang Duc Anh
Uehara, Ryuhei |
| Keywords: | reconfiguration problem
token sliding
independent set
cactus |
| Issue Date: | 2016-12-12 |
| Publisher: | Schloss Dagstuhl |
| Magazine name: | The 27th International Symposium on Algorithms and Computation (ISAAC 2016) |
| Volume: | 64 |
| Start page: | 37:1 |
| End page: | 37:26 |
| DOI: | 10.4230/LIPIcs.ISAAC.2016.37 |
| Abstract: | Given two independent sets I and J of a graph G, imagine that a token (coin) is placed on each vertex in I. Then, the Sliding Token problem asks if one could transforms I to J using a sequence of elementary steps, where each step requires sliding a token from one vertex to one of its neighbors, such that the resulting set of vertices where tokens are placed still remainsindependent. In this paper, we describe a polynomial-time algorithm for solving Sliding Token in case the graph G is a cactus. Our algorithm is designed based on two observations. First, all structures that forbid the existence of a sequence of token slidings between I and J, if exist, can be found in polynomial time. A no-instance may be easily deduced using this characterization. Second, without such forbidden structures, a sequence of token slidings between I and J does exist. |
| Rights: | © Duc A. Hoang and Ryuhei Uehara; licensed under Creative Commons License CC-BY. 27th International Symposium on Algorithms and Computation (ISAAC 2016). Editor: Seok-Hee Hong; Article No. 37; pp. 37:1–37:26. Leibniz International Proceedings in Informatics Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Dagstuhl Publishing, Germany |
| URI: | https://hdl.handle.net/10119/15125 |
| Material Type: | publisher |
| Appears in Collections: | b11-1. 会議発表論文・発表資料 (Conference Papers)
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| 23596.pdf | | 757Kb | Adobe PDF | View/Open |
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