DRUM: Directing Research with Undergraduates in Mathematics

Wednesday, February 3, 2016

Randomly Decomposable Graphs, III (Some open questions)

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Some open questions in RDGs In this third post on randomly decomposable graphs, we explore some open questions accessible to undergraduate...
Tuesday, February 2, 2016

Randomly Decomposable Graphs, II, Paths

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Abundant vs. trivial decompositions of a graph In the previous post, we introduced randomly decomposable graphs, looking for the set, RD( ...
Sunday, January 31, 2016

Randomly decomposable graphs

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The study of "randomly decomposable graphs" requires almost no mathematical background but can quickly lead to some interesting qu...
Wednesday, December 31, 2014

Strongly regular Cayley graphs, their representations and eigenvalues

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Eigenvalues and characters of Cayley graphs      When we looked at strongly regular graphs, we noted the powerful results that could be ob...
Thursday, December 4, 2014

Strongly regular Cayley graphs: Introduction

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Strongly regular Cayley graphs Many strongly regular graphs possess high symmetry.  No vertex is different than any other; one may transf...
Tuesday, November 4, 2014

SRGs II (The linear algebra of strongly regular graphs)

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The linear algebra of strongly regular graphs A graph with vertex set V and edge set E can be encoded in a square array with entries 0s ...
Wednesday, October 29, 2014

The MERiT panel on undergraduate research

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Mathematics Education Research in Texas (& undergraduate research) Recently (Friday, Oct 17, 2014) I had the privilege of being on a ...
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Dr. Ken W. Smith
I am a mathematics professor, now retired from teaching but still active in research. I have taught math professionally since entering graduate school in 1975. I have been married to my love, Jan, since 1976. We have (as of 2025) three children, a daughter-in-law, four grandchildren and two dogs. We migrate between Texas and Michigan, depending on the seasons.
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