| Presentation | 2021-03-15 Graph Structure Optimization Using Genetic Algorithms Hiroki Tajiri, Tsuyoshi Migita, Norikazu Takahashi, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | There are many large and complex networks in the real world. These networks are modeled as graphs and analyzed using a variety of features. The algebraic connectivity is one of the features that measures how well a graph is connected, and is defined by the second smallest eigenvalue of the Laplacian matrix of the graph. This paper considers the problem of maximizing the algebraic connectivity of a given graph by adding a specified number of edges. We propose a genetic algorithm for approximately solving this problem and evaluate its performance through experiments. We also apply the proposed method to the problem of maximizing the clustering coefficient, which represents how strongly the neighbors of a vertex are connected with each other, and evaluate its performance through experiments. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | algebraic connectivity / clustering coefficient / maximization / genetic algorithm |
| Paper # | NLP2020-59 |
| Date of Issue | 2021-03-08 (NLP) |
| Conference Information | |
| Committee | NLP / MSS |
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| Conference Date | 2021/3/15(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | MSS, NLP, Work In Progress (MSS only), and etc. |
| Chair | Kiyohisa Natsume(Kyushu Inst. of Tech.) / Shigemasa Takai(Osaka Univ.) |
| Vice Chair | Takuji Kosaka(Chukyo Univ.) / Atsuo Ozaki(Osaka Inst. of Tech.) |
| Secretary | Takuji Kosaka(Kyushu Inst. of Tech.) / Atsuo Ozaki(Kagawa Univ.) |
| Assistant | Toshikaza Samura(Yamaguchi Univ.) / Hideyuki Kato(Oita Univ.) / Naoki Hayashi(Osaka Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems / Technical Committee on Mathematical Systems Science and its Applications |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Graph Structure Optimization Using Genetic Algorithms |
| Sub Title (in English) | |
| Keyword(1) | algebraic connectivity |
| Keyword(2) | clustering coefficient |
| Keyword(3) | maximization |
| Keyword(4) | genetic algorithm |
| 1st Author's Name | Hiroki Tajiri |
| 1st Author's Affiliation | Okayama University(Okayama Univ.) |
| 2nd Author's Name | Tsuyoshi Migita |
| 2nd Author's Affiliation | Okayama University(Okayama Univ.) |
| 3rd Author's Name | Norikazu Takahashi |
| 3rd Author's Affiliation | Okayama University(Okayama Univ.) |
| Date | 2021-03-15 |
| Paper # | NLP2020-59 |
| Volume (vol) | vol.120 |
| Number (no) | NLP-430 |
| Page | pp.pp.23-28(NLP), |
| #Pages | 6 |
| Date of Issue | 2021-03-08 (NLP) |