| Presentation | 1995/9/22 Finding Two Arc Disjoint Paths in Eulerian Digraphs Andras FRANK, Toshihide IBARAKI, Hitoshi NAGAMOCHI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Let G be an Eulerian digraph, and {x1,x_2},{y_1,y_2} be two pairs of vertices in G. An instance (G;{x_1,x_2},{y_1,y_2}) is called feasible if it contains two arc-disjoint x'x"- and y'y"- paths, where {x',x"} = {x_1,x_2} and {y',y"} = {y_1,y_2}. This paper shows that any infeasible instance can be reduced to a minimal infeasible instance, which has a planar reparesentation that indicates its infeasibility. Based on this structural characterization, we can check if a given instance is feasible or not in o(m + nlogn) time, and find a feasible solution in o(m(m+nlogn))time(if the instance is feasible), where m and n are the numbers of edges and vertices in G, respectively |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Eulerian digraph / disjoint paths / planar graph / polynomial time algorithm |
| Paper # | COMP95-45 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 1995/9/22(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 | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Finding Two Arc Disjoint Paths in Eulerian Digraphs |
| Sub Title (in English) | |
| Keyword(1) | Eulerian digraph |
| Keyword(2) | disjoint paths |
| Keyword(3) | planar graph |
| Keyword(4) | polynomial time algorithm |
| 1st Author's Name | Andras FRANK |
| 1st Author's Affiliation | Dept.of Computer Science, Mathematical Institute,() |
| 2nd Author's Name | Toshihide IBARAKI |
| 2nd Author's Affiliation | Dept.of Applied Mathematics and Physics, Kyoto University, |
| 3rd Author's Name | Hitoshi NAGAMOCHI |
| 3rd Author's Affiliation | Dept.of Applied Mathematics and Physics, Kyoto University, |
| Date | 1995/9/22 |
| Paper # | COMP95-45 |
| Volume (vol) | vol.95 |
| Number (no) | 259 |
| Page | pp.pp.- |
| #Pages | 10 |
| Date of Issue | |