| Presentation | 2015-11-20 On Evasion Games on Graphs Satoshi Tayu, Shuichi Ueno, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We consider an evasion game on a connected simple graph. We first show that the pursuit number of a graph G, the smallest k such that k pursuers win the game, is bounded above by the pathwidth of G. We next show that the pursuit number of G is two if and only if the pathwidth of G is one. We also show that for any integer k<=2, there exists a tree T such that the pursuit number of T is three and the pathwidth of T is k. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | evaderevasion gamepathwidthpursuerpursuit number |
| Paper # | CAS2015-52,MSS2015-26 |
| Date of Issue | 2015-11-13 (CAS, MSS) |
| Conference Information | |
| Committee | MSS / CAS / IPSJ-AL |
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| Conference Date | 2015/11/20(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Ibusuki CityHall |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Satoshi Yamane(Kanazawa Univ.) / Satoshi Tanaka(Murata) |
| Vice Chair | Morikazu Nakamura(Univ. of Ryukyus) / Toshihiko Takahashi(Niigata Univ.) |
| Secretary | Morikazu Nakamura(Yamaguchi Univ.) / Toshihiko Takahashi(Toshiba) / (Hitachi) |
| Assistant | Hideki Kinjo(Okinawa Univ.) / Toshihiro Tachibana(Shonan Inst. of Tech.) / Yohei Nakamura(Hitachi) |
| Paper Information | |
| Registration To | Technical Committee on Mathematical Systems Science and its applications / Technical Committee on Circuits and Systems / Special Interest Group on Algorithms |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On Evasion Games on Graphs |
| Sub Title (in English) | |
| Keyword(1) | evaderevasion gamepathwidthpursuerpursuit number |
| 1st Author's Name | Satoshi Tayu |
| 1st Author's Affiliation | Tokyo Institute of Technology(Tokyo Tech) |
| 2nd Author's Name | Shuichi Ueno |
| 2nd Author's Affiliation | Tokyo Institute of Technology(Tokyo Tech) |
| Date | 2015-11-20 |
| Paper # | CAS2015-52,MSS2015-26 |
| Volume (vol) | vol.115 |
| Number (no) | CAS-315,MSS-316 |
| Page | pp.pp.59-64(CAS), pp.59-64(MSS), |
| #Pages | 6 |
| Date of Issue | 2015-11-13 (CAS, MSS) |