Paper Abstract and Keywords |
Presentation |
2005-04-18 15:50
Lowering Eccentricity of a Tree by Node-Upgrading Toshihide Ibaraki (Kwansei Gakuin Univ.), Xiao-Guang Yang (CAS) |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
The eccentricity lowering is to reduce the eccentricity of a network by upgrading some nodes (i.e., shrinking the lengthes of the edges linking to such nodes). We consider twotypes of node-upgrading strategies, i.e., the continuous upgrading strategy and the discrete upgrading strategy, where the improvement under the first strategy is a continuous variable, and the improvement under the second strategy is a fixed amount. These problems are hard to approximate for the general graph. Therefore we restrict our attention to graphs with simple structures. We present an $O(|V|^2)$ time algorithm to solve the eccentricity lowering problem under the continuous upgrading strategy when the graph is a tree. However, we show that the problem under the discrete upgrading strategy is binary NP-hard even if the graph is a line. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
eccentricity / node upgrading / discrete upgrading strategy / continuous upgrading strategy / tree / line / convex programming / |
Reference Info. |
IEICE Tech. Rep., vol. 105, no. 7, COMP2005-8, pp. 57-65, April 2005. |
Paper # |
COMP2005-8 |
Date of Issue |
2005-04-11 (COMP) |
ISSN |
Print edition: ISSN 0913-5685 |
Download PDF |
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Conference Information |
Committee |
COMP |
Conference Date |
2005-04-18 - 2005-04-18 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kwansei Gakuin Univ. |
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(See Japanese page) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2005-04-COMP |
Language |
English (Japanese title is available) |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Lowering Eccentricity of a Tree by Node-Upgrading |
Sub Title (in English) |
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Keyword(1) |
eccentricity |
Keyword(2) |
node upgrading |
Keyword(3) |
discrete upgrading strategy |
Keyword(4) |
continuous upgrading strategy |
Keyword(5) |
tree |
Keyword(6) |
line |
Keyword(7) |
convex programming |
Keyword(8) |
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1st Author's Name |
Toshihide Ibaraki |
1st Author's Affiliation |
Kwansei Gakuin University (Kwansei Gakuin Univ.) |
2nd Author's Name |
Xiao-Guang Yang |
2nd Author's Affiliation |
Chinese Academy of Science (CAS) |
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Speaker |
Author-1 |
Date Time |
2005-04-18 15:50:00 |
Presentation Time |
35 minutes |
Registration for |
COMP |
Paper # |
COMP2005-8 |
Volume (vol) |
vol.105 |
Number (no) |
no.7 |
Page |
pp.57-65 |
#Pages |
9 |
Date of Issue |
2005-04-11 (COMP) |