MathGroup Archive 1999

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Re: Mathematica and Topology.

  • To: mathgroup at
  • Subject: [mg21217] Re: Mathematica and Topology.
  • From: Murray Eisenberg <murray at>
  • Date: Fri, 17 Dec 1999 01:29:17 -0500 (EST)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <831isk$>
  • Sender: owner-wri-mathgroup at

You may be interested in the book "Implementing Discrete Mathematics:
Combinatorics and Graph Theory with Mathematica", by Steven Skiena
(Addison-Wesley, 1990).  The current version of Mathematica, at least,
includes the relevant packages of Mathematica functions; these include
some dealing with connected components:

  << DiscreteMath`Combinatorica`    [load the add-on package]
  ? ConnectedComponents     [ask for brief information]

"ConnectedComponents[g] gives the vertices of graph g partitioned into \
connected components."

J Nambia wrote:
> I am currently considering buying Mathematica for Students 4.0 to tackle a
> specific problem: calculating connectivity trees for large graphs, given a
> connectivity matrix of that graph. (I am an economics student, not a
> mathematician, so please forgive mistakes of a terminology nature...)
> I was wondering if anyone had any advice or, even better, if anybody out
> there has done something similair (or heard about how someone else did it).
> In actual fact I plan to investigate how the topological configuration of
> inner Milan (Italy) affects commerce and see if the facts bourne out by  the
> "Space Syntax" theory of urban development.
> Any input gladly accepted; answers on the newsgroup or by email.
> J Nambia

Murray Eisenberg                     murray at
Mathematics & Statistics Dept.       phone 413 549-1020 (H)
Univ. of Massachusetts                     413 545-2859 (W)
Amherst, MA 01003-4515

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