BRS compactness
Ronald Rousseau
ronald.rousseau at KHBO.BE
Sat Aug 9 13:46:31 EDT 2003
Dear Colleagues,
Gene Garfield asked me to put this on the list. I hope it is useful for some
of you.
Best regards,
Ronald Rousseau
***********************************************************************
BRS-compactness in networks: Theoretical considerations related to cohesion in
citation graphs, collaboration networks and the internet
Mathematical and Computer Modelling
Volume 37, Issues 7-8 , April 2003 , Pages 879-899
L. Egghe and R. Rousseau
Abstract
Compactness as introduced by Botafogo, Rivlin and Shneiderman, in short: BRS-
compactness, is studied in general, as it can be used to describe the cohesion
of parts of the internet or collaboration networks, and in the particular case
of a unidirectional network, such as a citation graph. It is shown that the
connection coefficient is an upper bound for the BRS-compactness value of a
network. During our investigations, we derive an upper bound for the
generalized Wiener index of a directed graph. Several networks are constructed
and their BRS-compactness values are calculated.
Author Keywords: BRS-compactness; Networks; Hyperlinks; Internet; Citation
networks; Collaboration graphs; Generalized Wiener index; Sum of distances in
a graph
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Ronald Rousseau
International Program Chair, 9th ISSI Conference - Beijing
KHBO - Industrial Sciences and Technology
Zeedijk 101 B-8400 Oostende Belgium
Guest Professor at the Library of the Chinese Academy of Sciences
Honorary Professor Henan Normal University (Xinxiang, China)
E-mail: ronald.rousseau at khbo.be
web page: users.pandora.be/ronald.rousseau
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