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Paper Abstract and Keywords
Presentation 2015-09-01 14:30
Enumerating and Indexing Walks Between Any Pair of Vertices
Hiroshi Aoki, Norihito Yasuda, Shin-ichi Minato (Hokkaido Univ.) COMP2015-21
Abstract (in Japanese) (See Japanese page) 
(in English) This paper presents a method for enumerating and indexing all the walks between any two points in a given graph.
It is known that paths, which contain each vertex at most one time, can be enumerated and indexed with a Zero-Suppressed Binary Decision Diagram (ZDD) based methods.
Since a ZDD efficiently handles a family of sets, the methods naturally represents a set of paths by regarding each path as a set of edges.
However, ZDDs are hard to represent walks, which may contain same vertices more than one time. We consider representing walks by SeqBDD, which is a data structure that compactly represents a set of sequences. It is also well known that the numbers of walks between any two vertices can be calculated by a series of multiplication of an adjacent matrix. We propose an extension of an adjacent matrix called SeqBDD matrix. Instead of usual numbers, non-zero elements in a SeqBDD matrix are filled with SeqBDDs. We specify that multiplication of the SeqBDD matrix can enumerate walks and index them as SeqBDDs. We also present some operations such as narrowing down the resulting SeqBDDs and counting with some experimental results.
Keyword (in Japanese) (See Japanese page) 
(in English) SeqBDD / Walk / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 205, COMP2015-21, pp. 35-39, Sept. 2015.
Paper # COMP2015-21 
Date of Issue 2015-08-25 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 COMP  
Conference Date 2015-09-01 - 2015-09-01 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To COMP 
Conference Code 2015-09-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Enumerating and Indexing Walks Between Any Pair of Vertices 
Sub Title (in English)  
Keyword(1) SeqBDD  
Keyword(2) Walk  
1st Author's Name Hiroshi Aoki  
1st Author's Affiliation Hokkaido University (Hokkaido Univ.)
2nd Author's Name Norihito Yasuda  
2nd Author's Affiliation Hokkaido University (Hokkaido Univ.)
3rd Author's Name Shin-ichi Minato  
3rd Author's Affiliation Hokkaido University (Hokkaido Univ.)
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Date Time 2015-09-01 14:30:00 
Presentation Time 30 
Registration for COMP 
Paper # IEICE-COMP2015-21 
Volume (vol) IEICE-115 
Number (no) no.205 
Page pp.35-39 
#Pages IEICE-5 
Date of Issue IEICE-COMP-2015-08-25 

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