| Presentation | 2022-01-27 An experimental study to clarify the characteristics of multiple random walks with different transition probabilities Nanami Tsuji, Fumiya Toyoda, Yusuke Sakumoto, Hiroyuki Ohsaki, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Random walks on graphs have been used in various graph algorithms. The first meeting time is defined by the time it takes for multiple agents starting random walks from different nodes on a graph to first meet at the same node, and is closely related to the rendezvous problem, which is an essential graph problem in computer science. In the previous work, we analyzed random walk agents following different transition probabilities, and derived the spectral formula for the expected value of their first meeting time. In this paper, through experiments, we confirm the validity of the analysis of the previous work, and predict the characteristics of the first meeting time from the derived spectral formula for the expected value of the first meeting time. Then, we confirm the validity of the predicted characteristics through the experiments. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Spectral Graph Theory / Rendezvous Search / Random Walk / First Meeting Time |
| Paper # | CQ2021-85 |
| Date of Issue | 2022-01-20 (CQ) |
| Conference Information | |
| Committee | CQ |
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| Conference Date | 2022/1/27(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kanazawa（Ishikawa Pref.） |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | AR/VR, Broadcasting Service, Video/Voice Services Quality, High Realistic, User Behavior/Psychology, User Experience, Media Quality, Network Quality and QoS Control, Networks and Communications at Disaster, User Behavior, Machine Learning, Video Communication, etc. |
| Chair | Jun Okamoto(NTT) |
| Vice Chair | Takefumi Hiraguri(Nippon Inst. of Tech.) / Gou Hasegawa(Tohoku Univ.) |
| Secretary | Takefumi Hiraguri(NTT) / Gou Hasegawa(Ritsumeikan Univ.) |
| Assistant | Yoshiaki Nishikawa(NEC) / Ryoichi Kataoka(KDDI Research) / Kimiko Kawashima(NTT) |
| Paper Information | |
| Registration To | Technical Committee on Communication Quality |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An experimental study to clarify the characteristics of multiple random walks with different transition probabilities |
| Sub Title (in English) | |
| Keyword(1) | Spectral Graph Theory |
| Keyword(2) | Rendezvous Search |
| Keyword(3) | Random Walk |
| Keyword(4) | First Meeting Time |
| 1st Author's Name | Nanami Tsuji |
| 1st Author's Affiliation | Kwansei Gakuin University(Kwansei Gakuin Univ.) |
| 2nd Author's Name | Fumiya Toyoda |
| 2nd Author's Affiliation | Kwansei Gakuin University(Kwansei Gakuin Univ.) |
| 3rd Author's Name | Yusuke Sakumoto |
| 3rd Author's Affiliation | Kwansei Gakuin University(Kwansei Gakuin Univ.) |
| 4th Author's Name | Hiroyuki Ohsaki |
| 4th Author's Affiliation | Kwansei Gakuin University(Kwansei Gakuin Univ.) |
| Date | 2022-01-27 |
| Paper # | CQ2021-85 |
| Volume (vol) | vol.121 |
| Number (no) | CQ-357 |
| Page | pp.pp.50-55(CQ), |
| #Pages | 6 |
| Date of Issue | 2022-01-20 (CQ) |