| Presentation | 2011-12-16 Reconfiguration of Vertex Covers in Trees and Cacti Hiroyuki NOOKA, Takehiro ITO, Xiao ZHOU, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We study the problem of reconfiguring a vertex cover of a graph G into another vertex cover via vertex covers of G, each of which results from the previous one by deleting or adding a single vertex, without ever going through a vertex cover of size more than k, for a given integer threshold k. This decision problem is known to be PSPACE-complete for planar graphs. In this paper, we first give a sufficient condition on the threshold k for which there always exists a reconfiguration between any two vertex covers for cacti. We then give a linear-time algorithm for trees to compute the minimum threshold k for which there exists a reconfiguration between two given vertex covers. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | algorithm / cactus / reachability on solution space / tree / vertex cover |
| Paper # | COMP2011-39 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2011/12/9(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) | Reconfiguration of Vertex Covers in Trees and Cacti |
| Sub Title (in English) | |
| Keyword(1) | algorithm |
| Keyword(2) | cactus |
| Keyword(3) | reachability on solution space |
| Keyword(4) | tree |
| Keyword(5) | vertex cover |
| 1st Author's Name | Hiroyuki NOOKA |
| 1st Author's Affiliation | Graduate School of Information Sciences, Tohoku University() |
| 2nd Author's Name | Takehiro ITO |
| 2nd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| 3rd Author's Name | Xiao ZHOU |
| 3rd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| Date | 2011-12-16 |
| Paper # | COMP2011-39 |
| Volume (vol) | vol.111 |
| Number (no) | 360 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |