Paper Abstract and Keywords |
Presentation |
2018-05-25 16:20
Optimal partition of a tree with social distance Masahiro Okubo (Nagoya Univ.), Tesshu Hanaka (Chuo Univ.), Hirotaka Ono (Nagoya Univ.) COMP2018-3 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Given a graph $G=(V,E)$, a partition ${C_1,C_2, ldots, C_k}$ of $V$ is called a graph partition. We consider a social welfare of a graph partition of $G$ based on distances between vertices in $G$, and define a graph partition with optimal social welfare.
Finding a graph partition with optimal social welfare is known to be NP-hard in general. In this paper, we show that a graph partition with optimal social welfare of a given tree can be computed in $O(Delta^2n)$ time, where $n$ is the number of vertices and $Delta$ is the maximum degree. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
graph algorithm / tree / graph partition / social distance / social welfare / / / |
Reference Info. |
IEICE Tech. Rep., vol. 118, no. 68, COMP2018-3, pp. 37-44, May 2018. |
Paper # |
COMP2018-3 |
Date of Issue |
2018-05-18 (COMP) |
ISSN |
Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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COMP2018-3 |
Conference Information |
Committee |
COMP IPSJ-AL |
Conference Date |
2018-05-25 - 2018-05-26 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Nagoya Institute of Technology |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2018-05-COMP-AL |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Optimal partition of a tree with social distance |
Sub Title (in English) |
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graph algorithm |
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tree |
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graph partition |
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social distance |
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social welfare |
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1st Author's Name |
Masahiro Okubo |
1st Author's Affiliation |
Nagoya University (Nagoya Univ.) |
2nd Author's Name |
Tesshu Hanaka |
2nd Author's Affiliation |
Thuo University (Chuo Univ.) |
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Hirotaka Ono |
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Nagoya University (Nagoya Univ.) |
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Speaker |
Author-1 |
Date Time |
2018-05-25 16:20:00 |
Presentation Time |
30 minutes |
Registration for |
COMP |
Paper # |
COMP2018-3 |
Volume (vol) |
vol.118 |
Number (no) |
no.68 |
Page |
pp.37-44 |
#Pages |
8 |
Date of Issue |
2018-05-18 (COMP) |