| Presentation | 2019-05-11 Enumerating and Indexing Graph Subdivisions using Zero-suppressed Binary Decision Diagrams Yu Nakahata, Jun Kawahara, Takashi Horiyama, Shin-ichi Minato, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A subdivision of a graph $H$ is a graph obtained by inserting some vertices into each edge of $H$. In this paper, when we are given graphs $G$ and $H$, we propose an algorithm to enumerate subgraphs of $G$ each of which is isomorphic to a subdivision of $H$. We use a data structure, a zero-suppressed binary decision diagram, to deal with a large set of solutions in a compressed way. In addition, we propose a general algorithm to enumerate subgraphs characterized by subdivisions (e.g., planar and outerplanar graphs). Computational experiments show that our algorithm runs faster than a backtracking algorithm. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Graph algorithm / Enumeration / Subdivision / Decision diagram / ZDD / Frontier-based search |
| Paper # | COMP2019-3 |
| Date of Issue | 2019-05-03 (COMP) |
| Conference Information | |
| Committee | COMP / IPSJ-AL |
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| Conference Date | 2019/5/10(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kumamoto University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Toshihiro Fujito(Toyohashi Univ. of Tech.) / 瀧本 英二(九州大学) |
| Vice Chair | Shinichi Nakano(Gunma Univ.) |
| Secretary | Shinichi Nakano(Kyoto Univ.) / (Kumamoto Univ) |
| Assistant | Kazuhisa Seto(Seikei Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Theoretical Foundations of Computing / Special Interest Group on Algorithms |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Enumerating and Indexing Graph Subdivisions using Zero-suppressed Binary Decision Diagrams |
| Sub Title (in English) | |
| Keyword(1) | Graph algorithm |
| Keyword(2) | Enumeration |
| Keyword(3) | Subdivision |
| Keyword(4) | Decision diagram |
| Keyword(5) | ZDD |
| Keyword(6) | Frontier-based search |
| 1st Author's Name | Yu Nakahata |
| 1st Author's Affiliation | Kyoto University(Kyoto Univ.) |
| 2nd Author's Name | Jun Kawahara |
| 2nd Author's Affiliation | Kyoto University(Kyoto Univ.) |
| 3rd Author's Name | Takashi Horiyama |
| 3rd Author's Affiliation | Saitama University(Saitama Univ.) |
| 4th Author's Name | Shin-ichi Minato |
| 4th Author's Affiliation | Kyoto University(Kyoto Univ.) |
| Date | 2019-05-11 |
| Paper # | COMP2019-3 |
| Volume (vol) | vol.119 |
| Number (no) | COMP-21 |
| Page | pp.pp.51-58(COMP), |
| #Pages | 8 |
| Date of Issue | 2019-05-03 (COMP) |