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Teaching Mathematics and its Applications Advance Access originally published online on August 3, 2009
Teaching Mathematics and its Applications 2009 28(3):159-161; doi:10.1093/teamat/hrp013
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© The Author 2009. Published by Oxford University Press on behalf of The Institute of Mathematics and its Applications. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

Real world graph connectivity

Joy Lind

University of Sioux Falls, Sioux Falls, SD 57105, USA

Darren Narayan{dagger}

Rochester Institute of Technology, Rochester, NY 14623, USA

{dagger}Email: darren.narayan{at}rit.edu

Submitted October 2008; accepted June 2009

We present the topic of graph connectivity along with a famous theorem of Menger in the real-world setting of the national computer network infrastructure of National LambdaRail. We include a set of exercises where students reinforce their understanding of graph connectivity by analysing the National LambdaRail network. Finally, we give suggestions for using this module as a project in an undergraduate mathematics course.


Joy Lind is currently an Assistant Professor of Mathematics at the University of Sioux Falls. She received her BA in Mathematics at Transylvania University and MS and PhD degrees from the University of Kentucky. Joy joined the faculty at USF in September 2008 after having spent 7 years working as an Applied Mathematician and Project Manager at various companies in and around Boulder, Colorado.

Darren Narayan is currently an Associate Professor and Director of Undergraduate Research in Mathematics at the Rochester Institute of Technology. He received his BS in Mathematics at the State University of New York at Binghamton and MS and PhD degrees from Lehigh University. Last year he was given the Henry L. Alder Award for Distinguished Teaching by a Beginning College or University Mathematics Professor by the Mathematical Association of America. Narayan currently holds two NSF grants focusing on education and undergraduate research.


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