| Presentation | 2016-09-06 Finding a maximum 2-matching excluding prescribed cycles in bipartite graphs Kenjiro Takazawa, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We introduce a new framework of restricted 2-matchings close to Hamilton cycles. For an undirected graph (V,E) and a family U of its vertex subsets, a 2-matching F iscalled U-feasible if F does not contain a 2-factor in the subgraph induced by any element in U. Our framework can describe $C_k$-free 2-matchings, i.e., 2-matchings without cycles of at most k edges, and 2-factors covering prescribed edge cuts, both of which are intensively studied as relaxations of Hamilton cycles. We establish a min-max theorem, a combinatorial polynomial-time algorithm, and decomposition theorems for the case where the graph is bipartite and each element in U induces a Hamilton-laceable graph. This case generalizes the $C_4$-free 2-matching problem in bipartite graphs. |
| Keyword(in Japanese) | (See Japanese page) |
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| Paper # | COMP2016-22 |
| Date of Issue | 2016-08-30 (COMP) |
| Conference Information | |
| Committee | COMP |
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| Conference Date | 2016/9/6(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Toyama Prefectural University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Hiroo Itoh(Univ. of Electro-Comm.) |
| Vice Chair | Yuushi Uno(Osaka Pref. Univ.) |
| Secretary | Yuushi Uno(Seikei Univ.) |
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| Paper Information | |
| Registration To | Technical Committee on Theoretical Foundations of Computing |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Finding a maximum 2-matching excluding prescribed cycles in bipartite graphs |
| Sub Title (in English) | |
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| 1st Author's Name | Kenjiro Takazawa |
| 1st Author's Affiliation | Hosei University(Hosei Univ.) |
| Date | 2016-09-06 |
| Paper # | COMP2016-22 |
| Volume (vol) | vol.116 |
| Number (no) | COMP-211 |
| Page | pp.pp.53-60(COMP), |
| #Pages | 8 |
| Date of Issue | 2016-08-30 (COMP) |