| Presentation | 1993/5/27 On Linear Arrangement Algorithms for Directed Acyclic Graphs Kazuyoshi Takagi, Naofumi Takagi, Shuzo Yajima, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The minimum cut linear arrangement problem of a graph is the problem to find a vertex ordering which minimizes the maximum edge congestion.Although this problem can be solved in polynomial time for trees,NP-complete in general. In this paper,we present two algorithms for minimum cut linear arrangement of complete p-q dags.p-q dags are a class of directed acyclic graphs often used as interconnection scheme of a class of iterative circuits. The first algorithm is based on dynamic programming.It requires time and space polynomial in the size of a given graph.The other algorithm is an approximation algorithm which ensures solution within a constant factor of the minimum. We present a systematic VLSI layout method of multiple operand adders as an application of the algorithms. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | graph / linear arrangement problem / polynomial time algorithm / VLSI layout |
| Paper # | COMP93-18,SS93-12 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 1993/5/27(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) | On Linear Arrangement Algorithms for Directed Acyclic Graphs |
| Sub Title (in English) | |
| Keyword(1) | graph |
| Keyword(2) | linear arrangement problem |
| Keyword(3) | polynomial time algorithm |
| Keyword(4) | VLSI layout |
| 1st Author's Name | Kazuyoshi Takagi |
| 1st Author's Affiliation | Faculty of Engineering,Kyoto University() |
| 2nd Author's Name | Naofumi Takagi |
| 2nd Author's Affiliation | Faculty of Engineering,Kyoto University |
| 3rd Author's Name | Shuzo Yajima |
| 3rd Author's Affiliation | Faculty of Engineering,Kyoto University |
| Date | 1993/5/27 |
| Paper # | COMP93-18,SS93-12 |
| Volume (vol) | vol.93 |
| Number (no) | 81 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |