| Paper Abstract and Keywords |
| Presentation |
2005-06-24 16:00
A Deterministic Algorithm for Finding All Minimum k-Way Cuts
Yoko Kamidoi, Noriyoshi Yoshida (Hiroshima City Univ.), Hiroshi Nagamochi (Kyoto Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Let $G=(V,E)$ be an edge-weighted
undirected graph with $n$ vertices and $m$ edges.
We present a deterministic algorithm to compute
a minimum $k$-way cut of $G$ for a given $k$.
Our algorithm is a divide-and-conquer method
based on a procedure that reduces
an instance of the minimum $k$-way cut problem
to $O(n^{2k-5})$ instances
of the minimum $(\lfloor (k+\sqrt{k})/2\rfloor+1)$-way cut problem,
and can be implemented to run in
$O(n^{4k/(1-1.71/\sqrt{k}) -31} )$ time.
With a slight modification,
the algorithm can find all minimum $k$-way cuts in
$O(n^{4k/(1-1.71/\sqrt{k}) -16} )$ time. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
minimum cut / multiway cut / divide-and-conquer / / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 105, no. 144, COMP2005-26, pp. 51-58, June 2005. |
| Paper # |
COMP2005-26 |
| Date of Issue |
2005-06-17 (COMP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
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| Conference Information |
| Committee |
COMP |
| Conference Date |
2005-06-24 - 2005-06-24 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
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| Topics (in Japanese) |
(See Japanese page) |
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| Paper Information |
| Registration To |
COMP |
| Conference Code |
2005-06-COMP |
| Language |
English |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
A Deterministic Algorithm for Finding All Minimum k-Way Cuts |
| Sub Title (in English) |
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| Keyword(1) |
minimum cut |
| Keyword(2) |
multiway cut |
| Keyword(3) |
divide-and-conquer |
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| 1st Author's Name |
Yoko Kamidoi |
| 1st Author's Affiliation |
Hiroshima City University (Hiroshima City Univ.) |
| 2nd Author's Name |
Noriyoshi Yoshida |
| 2nd Author's Affiliation |
Hiroshima City University (Hiroshima City Univ.) |
| 3rd Author's Name |
Hiroshi Nagamochi |
| 3rd Author's Affiliation |
Kyoto University (Kyoto Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2005-06-24 16:00:00 |
| Presentation Time |
30 minutes |
| Registration for |
COMP |
| Paper # |
COMP2005-26 |
| Volume (vol) |
vol.105 |
| Number (no) |
no.144 |
| Page |
pp.51-58 |
| #Pages |
8 |
| Date of Issue |
2005-06-17 (COMP) |