| Presentation | 2013/3/11 A New Exact Algorithm for the Maximum Weight Clique Problem Based on an Upper Bound Calculated by Dynamic Programming Satoshi SHIMIZU, Kazuaki YAMAGUCHI, Toshiki SAITOH, Sumio MASUDA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Given a vertex-weighted undirected graph, the problem to find the clique of maximum weight is the maximum weight clique problem. We propose a new exact algorithm based on the branch-and-bound. An upper bound of solution is calculated for each subproblem in branch-and-bound algorithms. Our algorithm makes some small subproblems, calculates their upper bounds by dynamic programming, and store the upper bounds to a table. In branch-and-bound, our algorithm calculates an upper bound fast by referring to the table. We confirm our algorithm is faster than other algorithms. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | maximum weight clique / branch-and-bound / dynamic programming / NP-hard |
| Paper # | C0MP2012-59 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2013/3/11(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A New Exact Algorithm for the Maximum Weight Clique Problem Based on an Upper Bound Calculated by Dynamic Programming |
| Sub Title (in English) | |
| Keyword(1) | maximum weight clique |
| Keyword(2) | branch-and-bound |
| Keyword(3) | dynamic programming |
| Keyword(4) | NP-hard |
| 1st Author's Name | Satoshi SHIMIZU |
| 1st Author's Affiliation | Kobe University() |
| 2nd Author's Name | Kazuaki YAMAGUCHI |
| 2nd Author's Affiliation | Kobe University |
| 3rd Author's Name | Toshiki SAITOH |
| 3rd Author's Affiliation | Kobe University |
| 4th Author's Name | Sumio MASUDA |
| 4th Author's Affiliation | Kobe University |
| Date | 2013/3/11 |
| Paper # | C0MP2012-59 |
| Volume (vol) | vol.112 |
| Number (no) | 498 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |