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Paper Abstract and Keywords
Presentation 2022-06-09 17:40
Speeding up an algorithm for searching generalized Moore graphs
Taku Hirayama, Tsuyoshi Migita, Norikazu Takahashi (Okayama Univ.) NLP2022-11 CCS2022-11
Abstract (in Japanese) (See Japanese page) 
(in English) Computer networks in data centers are modeled as undirected regular graphs, and the average shortest path length (ASPL) of such a graph is closely related to data transmission latency in the corresponding computer network. Therefore, finding an undirected regular graph with a short ASPL is an important issue for low-latency network design. Regular graphs whose ASPLs are equal to certain theoretical lower bounds are called generalized Moore graphs, and have been studied in the field of graph theory for many years. However, the conditions on the number of vertices and the degree for a generalized Moore graph to exist have not been clarified, nor is there a fast algorithm for determining its existence. In this report, we propose a modified version of an existing depth-first search algorithm for generalized Moore graphs, and verify its effectiveness experimentally. In the proposed algorithm, new ideas for reducing the number of edges to be searched and changing the order of edge search adaptively are introduced. Experimental results show that these ideas are effective in practice.
Keyword (in Japanese) (See Japanese page) 
(in English) graph theory / generalized Moore graph / average shortest path length / / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 65, NLP2022-11, pp. 52-57, June 2022.
Paper # NLP2022-11 
Date of Issue 2022-06-02 (NLP, CCS) 
ISSN Online edition: ISSN 2432-6380
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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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Conference Information
Committee CCS NLP  
Conference Date 2022-06-09 - 2022-06-10 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2022-06-CCS-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Speeding up an algorithm for searching generalized Moore graphs 
Sub Title (in English)  
Keyword(1) graph theory  
Keyword(2) generalized Moore graph  
Keyword(3) average shortest path length  
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1st Author's Name Taku Hirayama  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Tsuyoshi Migita  
2nd Author's Affiliation Okayama University (Okayama Univ.)
3rd Author's Name Norikazu Takahashi  
3rd Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2022-06-09 17:40:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2022-11, CCS2022-11 
Volume (vol) vol.122 
Number (no) no.65(NLP), no.66(CCS) 
Page pp.52-57 
#Pages
Date of Issue 2022-06-02 (NLP, CCS) 


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