Graphs with Minimal Well-Covered Dimension

Authors

Gabriella Clemente, The City College of New York

Abstract

We generalize a theorem by Brown and Nowakowski on the well-covered dimension of chordal graphs. Furthermore, we prove that the well-covered dimension of any Sierpinski gasket graph of order at least 2 is equal to 3, the simplicial clique number.

Author Bio

Gabriella Clemente is a senior at the City College of New York (CCNY), majoring in pure mathematics. She completed a mathematics REU at Fresno State, where she produced the present work. She is applying to mathematics doctoral programs that commence in the fall of 2015.

Faculty Sponsor

Oscar Vega

Recommended Citation

Clemente, Gabriella (2014) "Graphs with Minimal Well-Covered Dimension," Rose-Hulman Undergraduate Mathematics Journal: Vol. 15: Iss. 2, Article 4.
Available at: https://scholar.rose-hulman.edu/rhumj/vol15/iss2/4