| Presentation | 1999/1/28 Solving the Legal Firing Sequence Problem for Edge-weighted Cactuses Michihisa Iwamoto, Toshihiro Fujito, Satoshi Taoka, Toshimasa Watanabe, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The Legal Firing Sequence problem of Petri nets(LFS for short)is defined by "Given a Petri net N, an initial marking M and a firing count vector X, find a firing sequence σ, starting from M, such that each transition t appears in σ exactly X(t)times as prescribed by X."A cactus N' is a state machine such that, when edge-directions are ignored, any pair of simple cycles share at most one place and every such(undirected)simple cycle is really a directed cycle in N'. We consider LFS under the constraint that N is a cactus with arbitrary edge-weights and X=1^^~. In this paper, we will show that the problem can be solved in O(|P|^2)time. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Petri nets / State machines / Edge-weighted cactuses / Legal firing sequence problems / Polynomial time algorithms |
| Paper # | CST98-32 |
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| Conference Information | |
| Committee | CST |
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| Conference Date | 1999/1/28(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Concurrent System Technology (CST) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Solving the Legal Firing Sequence Problem for Edge-weighted Cactuses |
| Sub Title (in English) | |
| Keyword(1) | Petri nets |
| Keyword(2) | State machines |
| Keyword(3) | Edge-weighted cactuses |
| Keyword(4) | Legal firing sequence problems |
| Keyword(5) | Polynomial time algorithms |
| 1st Author's Name | Michihisa Iwamoto |
| 1st Author's Affiliation | Graduate School of Engineering, Hiroshima University() |
| 2nd Author's Name | Toshihiro Fujito |
| 2nd Author's Affiliation | Department of Circuits and Systems, Faculty of Engineering, Hiroshima University |
| 3rd Author's Name | Satoshi Taoka |
| 3rd Author's Affiliation | Department of Circuits and Systems, Faculty of Engineering, Hiroshima University |
| 4th Author's Name | Toshimasa Watanabe |
| 4th Author's Affiliation | Department of Circuits and Systems, Faculty of Engineering, Hiroshima University |
| Date | 1999/1/28 |
| Paper # | CST98-32 |
| Volume (vol) | vol.98 |
| Number (no) | 565 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |