| Presentation | 2012-04-27 Generation of Ternary Matroids and Experiments on White's Conjectures Hidefumi HIRAISHI, Hiroshi IMAI, Sonoko MORIYAMA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we deal with White's conjectures. White's conjectures are two classical conjectures of matroid theory, in one of which there have recently been new progresses. We extended a Blasiak's result and experimented on two conjectures to confirm they held on matroids of small size. The matroids we used are not only general matroids, but subclass of matroids; binary, ternary and regular matroids. For ternary matroids, we extended the existing algorithm of generation of simple ternary matroids and generated both simple and non-simple ones. Matroids of up to 13 elements were generated concerning at most rank 4, and up to 11 elements concerning at most rank 7. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | matroid / binary matroid / ternary matroid / regular matroid / White's conjecture |
| Paper # | COMP2012-3 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2012/4/20(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) | Generation of Ternary Matroids and Experiments on White's Conjectures |
| Sub Title (in English) | |
| Keyword(1) | matroid |
| Keyword(2) | binary matroid |
| Keyword(3) | ternary matroid |
| Keyword(4) | regular matroid |
| Keyword(5) | White's conjecture |
| 1st Author's Name | Hidefumi HIRAISHI |
| 1st Author's Affiliation | Department of Computer Science, the University of Tokyo() |
| 2nd Author's Name | Hiroshi IMAI |
| 2nd Author's Affiliation | Department of Computer Science, the University of Tokyo |
| 3rd Author's Name | Sonoko MORIYAMA |
| 3rd Author's Affiliation | System Information Sciences, Graduate School of Information Sciences, Tohoku University |
| Date | 2012-04-27 |
| Paper # | COMP2012-3 |
| Volume (vol) | vol.112 |
| Number (no) | 21 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |