2014年
Polynomial-time algorithm for sliding tokens on trees
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
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- 巻
- 8889
- 号
- 開始ページ
- 389
- 終了ページ
- 400
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/978-3-319-13075-0_31
- 出版者・発行元
- SPRINGER-VERLAG BERLIN
© Springer International Publishing Switzerland 2014. Suppose that we are given two independent sets I b and Ir of a graph such that |Ib| = | Ir|, and imagine that a token is placed on each vertex in I b. Then, the sliding token problem is to determine whether there exists a sequence of independent sets which transforms Ib and I r so that each independent set in the sequence results from the previous one by sliding exactly one token along an edge in the graph. This problem is known to be PSPACE-complete even for planar graphs, and also for bounded treewidth graphs. In this paper, we show that the problem is solvable for trees in quadratic time. Our proof is constructive: for a yes-instance, we can find an actual sequence of independent sets between Ib and Ir whose length (i.e., the number of token-slides) is quadratic. We note that there exists an infinite family of instances on paths for which any sequence requires quadratic length.
- リンク情報
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- DOI
- https://doi.org/10.1007/978-3-319-13075-0_31
- DBLP
- https://dblp.uni-trier.de/rec/conf/isaac/DemaineDFHIOOUY14
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000354865900031&DestApp=WOS_CPL
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84921646724&origin=inward
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84921646724&origin=inward
- URL
- http://dblp.uni-trier.de/db/conf/isaac/isaac2014.html#conf/isaac/DemaineDFHIOOUY14
- ID情報
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- DOI : 10.1007/978-3-319-13075-0_31
- ISSN : 0302-9743
- eISSN : 1611-3349
- DBLP ID : conf/isaac/DemaineDFHIOOUY14
- SCOPUS ID : 84921646724
- Web of Science ID : WOS:000354865900031