Degrees:
Ph.D., State Univ. of New York
M.S., Rensselaer Polytechnic Inst.
M.A., State Univ. of New York
B.A., Bates College
Professor Mauro graduated from Bates College in 1976 with a B.S. in Mathematics. From there, he attended S.U.N.Y-Binghamton, receiving his MS and PhD degrees (both in Mathematics) in 1978 and 1981, respectively. Joining Trinity's faculty in 1982, he went on to earn a second MS in Computer Science from R.P.I. in 1988.
Trained primarily in probability and statistics, Professor Mauro has since turned his research attention to graph theory; particularly, vertex labelings associated with frequency assignments to transmitters. He considers himself to be extremely fortunate to have found a friend and collaborator in Professor John Georges, also a Trinity faculty member.
Professor Mauro's philosophy of teaching holds simply that without clarity and economy of presentation, mathematics can easily turn from an object of immense beauty to a pit of deep despair. He thus prepares for each lecture by asking (and answering) two basic questions: What do I want to say? How do I want to say it?
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All mathematics in the undergraduate curriculum
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Graph theory
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Vertex labelings
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- Mauro, David, and J. Georges. "On the Structure of Graphs with Non-Surjective L(2,1)-Labelings." SIAM Journal on Discrete Mathematics 19 (2005): 208 - 223.
- Mauro, David, and J. Georges. "A Note on Collections of Graphs with Non-Surjective Lambda Labelings." Discrete Applied Mathematics 146 (2005): 92 - 98.
- Mauro, David, J. Georges, and D. Erwin. "On Labeling the Products of Complete Graphs with Distance Constraints." Naval Research Logistics 52, 2 (2005): 138 - 141.
- Mauro, David, and J. Georges. "On Regular Graphs Optimally Labeled with a Condition at Distance Two." S.I.A.M. Journal on Discrete Mathematics 17 (2003): 320 - 331.
- Mauro, David, and J. Georges. "Edge Labelings with a Condition at Distance Two." Ars Combinatoria 70 (2004): 109-128.
- Mauro, David, and J. Georges. "Labeling Trees with a Condition at Distance Two." Discrete Mathematics 269 (2003): 127-148.
- Mauro, David, and J. Georges. "On Generalized Petersen Graphs Labeled with a Condition at Distance Two." Discrete Mathematics 259 (2002): 311-318.
- Mauro, David, J. Georges, and M. Stein. "Labeling Products of Complete Graphs with a Condition at Distance Two." SIAM Journal on Discrete Mathematics 14 (2001): 28-35.
- Mauro, David, and J. Georges. "Some Results on the lambda-j, k-Numbers of Products of Complete Graphs." Congressus Numerantium 140 (1999): 141-160.
- Mauro, David, and J. Georges. "On the Size of Graphs Labeled with a Condition at Distance Two." Journal of Graph Theory 22 (1996): 47 - 57.
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- Thomas Church Brownell Prize for Teaching Excellence, 2024
- Trinity College Trustee Award for Faculty Excellence, 2021
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