An unexpected discovery

King, Erika

doi:10.2140/involve.2014.7.373

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An unexpected discovery

Erika L. C. King

Vol. 7 (2014), No. 3, 373–376

DOI: 10.2140/involve.2014.7.373

Abstract

One summer, I chose two undergraduate students to work with me on a research project. Our goal was specifically to find a new approach to proving a theorem I had already proved several years before. We were looking for a new approach because the proof I had written is too long for publication, but the result itself is interesting. As is common in mathematics, our work led us to an unexpected discovery. This article leads the reader through our journey.

Keywords

undergraduate research, well-dominated graphs, well-covered graphs, claw-free, regular

Mathematical Subject Classification 2010

Primary: 01-02

Secondary: 05C69

Milestones

Received: 26 February 2013

Revised: 15 March 2013

Accepted: 26 April 2013

Published: 28 April 2014

Communicated by Darren A. Narayan

Authors

Erika L. C. King
Department of Mathematics and Computer Science Hobart and William Smith Colleges Geneva, NY 14456 United States

Vol. 7, No. 3, 2014