Result: Wide diameters of de Bruijn graphs

Title:
Wide diameters of de Bruijn graphs
Source:
Selected papers from the CTS Conference on Combinatorics and its Applications in Honor of Franck K. Hwang's 65th birthdayJournal of combinatorial optimization. 14(2-3):143-152
Publisher Information:
Norwell, MA: Springer, 2007.
Publication Year:
2007
Physical Description:
print, 1/4 p
Original Material:
INIST-CNRS
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Applied Mathematics. NCTU, Hsinchu 300, Tawain, Province of China
ISSN:
1382-6905
Rights:
Copyright 2008 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems

Operational research. Management
Accession Number:
edscal.19068013
Database:
PASCAL Archive

Further Information

The wide diameter of a graph is an important parameter to measure fault-tolerance of interconnection network. This paper proves that for any two vertices in de Bruijn undirected graph UB(d,n), there are 2d - 2 internally disjoint paths of length at most 2n + 1. Therefore, the (2d - 2)-wide diameter of UB(d, n) is not greater than 2n + 1.