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Paper Abstract and Keywords
Presentation 2016-08-10 18:30
Regularly Edge-added Torus Graphs with the Minimum Diameter and the Minimum Average Shortest Path Length
Hiroyuki Kobayashi, Noriyuki Fujimoto (Osaka Prefecture Univ.) CPSY2016-40
Abstract (in Japanese) (See Japanese page) 
(in English) It is not realistic to connect all of cores in a multicore-processor each other because current multicore-processors have many cores. Therefore there are many studies about network topologies to connect cores. The order/degree problem is one of the tackled problems. It finds graphs with the minimum diameter and the minimum average shortest path length (ASPL) over all graphs for a given number n of vertices and a given degree deg. We present an algorithm to enumerate all of graphs with the minimum diameter and the minimum ASPL over all graphs such that each vertex of torus with n vertices is added edges regularly within degree deg. Also we report optimal graphs for the order/degree problem found by our algorithm.
Keyword (in Japanese) (See Japanese page) 
(in English) Network Topology / The Order/Degree Problem / Torus / Exhaustive Search / Exact Algorithm / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 177, CPSY2016-40, pp. 287-292, Aug. 2016.
Paper # CPSY2016-40 
Date of Issue 2016-08-01 (CPSY) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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Conference Information
Committee CPSY DC IPSJ-ARC  
Conference Date 2016-08-08 - 2016-08-10 
Place (in Japanese) (See Japanese page) 
Place (in English) Kissei-Bunka-Hall (Matsumoto) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Parallel, Distributed and Cooperative Processing 
Paper Information
Registration To CPSY 
Conference Code 2016-08-CPSY-DC-ARC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Regularly Edge-added Torus Graphs with the Minimum Diameter and the Minimum Average Shortest Path Length 
Sub Title (in English)  
Keyword(1) Network Topology  
Keyword(2) The Order/Degree Problem  
Keyword(3) Torus  
Keyword(4) Exhaustive Search  
Keyword(5) Exact Algorithm  
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Keyword(7)  
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1st Author's Name Hiroyuki Kobayashi  
1st Author's Affiliation Osaka Prefecture University (Osaka Prefecture Univ.)
2nd Author's Name Noriyuki Fujimoto  
2nd Author's Affiliation Osaka Prefecture University (Osaka Prefecture Univ.)
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Speaker Author-1 
Date Time 2016-08-10 18:30:00 
Presentation Time 30 minutes 
Registration for CPSY 
Paper # CPSY2016-40 
Volume (vol) vol.116 
Number (no) no.177 
Page pp.287-292 
#Pages
Date of Issue 2016-08-01 (CPSY) 


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