Headshot Faculty Brian Crane

Charles Brian Crane, PhD

Associate Professor of Mathematics
864.663.0062
brian.crane@ngu.edu
Unit: Mathematics
Location: Tigerville, SC

“Everything negative - pressure, challenges - is all an opportunity.”
  • Teaching & Education

    You will learn with me when taking courses in Mathematics.

    Degrees

    B.S., Furman University

    Ph.D., Emory University

  • Professional Experience

    My experience includes a a career as a mathematics professor at the university level since 2005.

  • Articles Published
    • Pancyclic type properties of claw-free P6-free graphs, Australasian Journal of Combinatorics, Vol. 72(2), 185–200, 2018.
    • Forbidden Pairs and Generalized Hamiltonian-Type Properties, Discussiones Mathematicae Graph Theory, Vol. 37, No. 3, 649–663, 2017. DOI:10.7151/dmgt.1949
    • Hamiltonian Type Properties in Claw-free P5-free Graphs, Graphs and Combinatorics, Vol. 32, No. 5, 1817–1828, 2016. DOI:10.1007/s00373-016-1680-4
    • Generalized Pancyclic Properties in Claw-free Graphs, Graphs and Combinatorics, Vol. 31, No. 6, 2149–2158, 2015. DOI:10.1007/s00373-014-1510-5
    • Forbidden Subgraphs and Generalized Pancyclic Properties in Graphs, Ph.D. Thesis, Emory University, 2005
  • Awards Received
    • 2015 – Faculty Scholarship Award, Marygrove College
    • Spring 2015 – Nominee, Presidential Award for Excellence in Teaching, Marygrove College
    • January–May 2013 – BOLD Project grant to support collaboration between Sigma Zeta & 826michigan: Tutoring in Detroit Public Schools (K-12), Marygrove College, Summer
    • 2012 Summer – Scholarship Stipend research grant, Marygrove College
    • 2011-12 – Junior Faculty Award, Marygrove College
    • 2011 – Honored as “Outstanding Tutor” by Marygrove’s Student Government Association
    • 2005-06 – Honored as a “Professor Who Made a Difference” by students of Goshen College
  • My Story

    I went to grad school straight out of college because I didn’t want to get a job yet. I’m thankful this move introduced me to the possibility of being a math professor. I love my job. I’m a pure mathematician, which means I prefer theory to application. If you’ve taken a class from me before, you know this.

    Originally from Greenville, South Carolina, I held teaching positions at Goshen College, Grand Valley State University, and Marygrove College before coming to North Greenville in 2016. I taught and lived in Detroit for 7 years prior to that, and still visit often.

    My primary research interest is graph theory, a branch of discrete mathematics that involves the study of modeling connections and relationships. I am particularly interested in problems involving paths, cycles, hamiltonicity, and forbidden subgraphs. Graph theory is useful for many modern problems involving internet modeling, computer networks, social networks, utility design, scheduling, and even topics as diverse as psychology, trust, linguistics, and the function of language. That’s scary, because those are applications.

    In my free time I love running, basketball, music, movies, and writing.

    Favorite Course to Teach:

    My favorite course to teach is Graph Theory, because like, that’s my thing… mathematically anyway. My other mathematical interests include combinatorics (the science of counting), abstract algebra, and calculus. I am always interested in working with undergraduates who want to explore research topics in mathematics. 

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