Workshop Announcement:

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 Spectra of families of matrices described by graphs, digraphs, and sign patterns 
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                October 23 to October 27, 2006

  American Institute of Mathematics Research Conference Center

                     Palo Alto, California

        http://aimath.org/ARCC/workshops/matrixspectrum.html


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Description:
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This workshop, sponsored by AIM and the NSF, will bring together 
people interested in combinatorial matrix theory and spectral graph
theory for investigation of the following problems:

1) The 2n-conjecture for spectrally arbitrary sign patterns.
2) Determination of the minimum rank of symmetric matrices 
   described by a graph.
3) The energy of graphs.

During the workshop we hope to resolve the 2n-conjecture and develop
new approaches to the minimum rank problem that will lead to
significant progress in the future. We hope to get a clearer picture
of how energy depends on graph structure, and in particular, to
understand the structure of graphs with maximal or minimal energy. 

The workshop is organized by
Leslie Hogben, Richard Brualdi, and Bryan Shader.

For more details please see the workshop announcement page:
http://aimath.org/ARCC/workshops/matrixspectrum.html

Space and funding is available for a few more participants.
If you would like to participate, please apply by filling
out the on-line form (available at the link above) no later
than July 23, 2006. Applications are open to all, and
we especially encourage women, underrepresented minorities,
junior mathematicians, and researchers from primarily
undergraduate institutions to apply.

Before submitting an application, please read the ARCC
policies concerning participation and financial support
for participants.

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AIM Research Conference Center (ARCC):
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The AIM Research Conference Center (ARCC) hosts focused
workshops in all areas of the mathematical sciences. ARCC
focused workshops are distinguished by their emphasis on
a specific mathematical goal, such as making progress on a
significant unsolved problem, understanding the proof of an
important new result, or investigating the convergence between
two distinct areas of mathematics.

For more information about ARCC, please visit
http://www.aimath.org/ARCC/