| Presentation | 1999/10/25 Algorithms for finding noncrossing Steiner forests in plane graphs Yoshiyuki Kusakari, Daisuke Masubuchi, Takao Nishizeki, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Let G=(V, E) be a plane graph with nonnegative edge length, let N={N_1,N_2,・・・,N_k}be a family of k vertex subsets, called nets. Then a noncrossing Steiner forest for N in G is a set T of k trees T_1,T_2,・・・,T_k in G such that each tree T_i∈T connects all vertices in N_i, any two trees in T do not cross each other, and the sum of edge lengths of all trees is minimum. In this paper we give an efficient algorithm to find a noncrossing Steiner forest in a plane graph G for the case where all vertices in nets lie on any two of the face boundaries of G. The algorithm takes time O(n log n) if G has n vertices and each net contains a bounded number of vertices. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | plane graph / Steiner tree / noncrossing / algorithm |
| Paper # | COMP99-40 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 1999/10/25(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) | Algorithms for finding noncrossing Steiner forests in plane graphs |
| Sub Title (in English) | |
| Keyword(1) | plane graph |
| Keyword(2) | Steiner tree |
| Keyword(3) | noncrossing |
| Keyword(4) | algorithm |
| 1st Author's Name | Yoshiyuki Kusakari |
| 1st Author's Affiliation | Graduate School of Information Sciences, Tohoku University() |
| 2nd Author's Name | Daisuke Masubuchi |
| 2nd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| 3rd Author's Name | Takao Nishizeki |
| 3rd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| Date | 1999/10/25 |
| Paper # | COMP99-40 |
| Volume (vol) | vol.99 |
| Number (no) | 388 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |