| Presentation | 2018-10-26 An Approximation Algorithm for the 2-Dispersion Problem Kazuyuki Amano, Shin-ichi Nakano, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Let $P$ be a set of points on the plane, and $d(p,q)$ be the distance between a pair of points $p,q$ in $P$. For a point $pin P$ and a subset $Ssubset P$ with $|S |ge 3$, the $2$-dispersion cost, denoted by $cost_2(p,S)$, of $p$ with respect to $S$is the sum of(1) the distance from $p$ to the nearest point in $S setminus{ p }$and(2) the distance from $p$ to the second nearest point in $S setminus{ p }$. The $2$-dispersion cost $cost_2(S)$ of $Ssubset P$ with $|S|ge 3$is $min_{pin S}{ cost_2(p,S) }$. Given a set $P$ of $n$ points and an integer $k$we wish to compute $k$ point subset $S$ of $P$with maximum $cost_2(S)$. In this paper we give a simple $1/({4sqrt{3}})$ approximation algorithmfor the problem. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | dispersion problemalgorithm |
| Paper # | COMP2018-26 |
| Date of Issue | 2018-10-19 (COMP) |
| Conference Information | |
| Committee | COMP |
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| Conference Date | 2018/10/26(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kyoto University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Toshihiro Fujito(Toyohashi Univ. of Tech.) |
| Vice Chair | Shinichi Nakano(Gunma Univ.) |
| Secretary | Shinichi Nakano(Kyoto Univ.) |
| Assistant | Kazuhisa Seto(Seikei Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Theoretical Foundations of Computing |
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| Language | ENG-JTITLE |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Approximation Algorithm for the 2-Dispersion Problem |
| Sub Title (in English) | |
| Keyword(1) | dispersion problemalgorithm |
| 1st Author's Name | Kazuyuki Amano |
| 1st Author's Affiliation | Gunma University(Gunma Univ.) |
| 2nd Author's Name | Shin-ichi Nakano |
| 2nd Author's Affiliation | Gunma University(Gunma Univ.) |
| Date | 2018-10-26 |
| Paper # | COMP2018-26 |
| Volume (vol) | vol.118 |
| Number (no) | COMP-268 |
| Page | pp.pp.41-43(COMP), |
| #Pages | 3 |
| Date of Issue | 2018-10-19 (COMP) |