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I've had students ask the same thing, and have been equally at a loss
for an answer. Looking for an out, in this paper
(https://www.msu.edu/~zpneal/publications/neal-emporg.pdf) I proposed
an alternative (I called it gamma-centrality) that yields
qualitatively similar results and has a tunable parameter, but never
yields negative scores. As an added bonus, the "gamma" parameter
doesn't have any restrictions on its range.
Zachary Neal, PhD
Assistant Professor, Department of Psychology & Global Urban Studies Program
Editor, Journal of Urban Affairs
Michigan State University
316 Physics Road, Rm 262
East Lansing, MI 48824
On networks - www.routledge.com/books/details/9780415881425/
On system science - www.routledge.com/books/details/9780415843324/
On public space - www.routledge.com/books/details/9780415997270/
On diversity & cohesion - www.youtube.com/watch?v=Az6Uy7p3kas
Quoting Jordi Comas <[log in to unmask]>:
> ***** To join INSNA, visit http://www.insna.org *****
> I mistakenly told students to "play" with beta parameter of Bonacich
> Student:"How can they be negative scores?'
> Me: "I don't know. I'll get back to you. But, we need to keep Beta below
> the inverse of largest eignevalue. Sorry about that. Should have told you
> ?Inquisitive student: "I still don't understand how it can return negative
> Me: "Not sure. I'll get back to you on that. Another cookie?" (Ok,
> Ididn't offer cookies).
> So, can someone help me out? To my eyes, the Bonacich algoritihim sums up
> the centrality score of each node by weighting each node. How can and
> additive series get a negative score?
> (cookies in the mail for you for good answer. :) )
> *Jordi Comas*
> *"There is nothing so practical as a good theory." Kurt Lewin*
> Social Innovation and Entrepreneurship Blog (under construction): Simple
> Tools. <https://simpletools.blogs.bucknell.edu/>
> Netcentric <http://netcentric.blogs.bucknell.edu/>: Resources for Teaching
> Network Theory and Research
> Research and Writing Blog: Nets We Weave <http://netsweweave.wordpress.com>
> *Assistant ProfessorSchool of ManagementBucknell UniversityTaylor 112570
> 577 3161*
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