51勛圖

Profile image for Charles Brian

Charles Brian Crane, PhD

Professor, Mathematics
864.663.0062
brian.crane@ngu.edu
Unit: Mathematics and Computer Science, College of Humanities and Sciences, School of Sciences and Math
Location: Tigerville

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

    You will learn with me when taking courses in Mathematics.

    Degrees

    BS, Furman University

    PhD, Emory University

  • Professional Experience

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

  • Selected Publications
    • Pancyclic type properties of claw-free P6-free graphs, Australasian Journal of Combinatorics, Vol. 72(2), 185200, 2018.
    • Forbidden Pairs and Generalized Hamiltonian-Type Properties, Discussiones Mathematicae Graph Theory, Vol. 37, No. 3, 649663, 2017. DOI:10.7151/dmgt.1949
    • Hamiltonian Type Properties in Claw-free P5-free Graphs, Graphs and Combinatorics, Vol. 32, No. 5, 18171828, 2016. DOI:10.1007/s00373-016-1680-4
    • Generalized Pancyclic Properties in Claw-free Graphs, Graphs and Combinatorics, Vol. 31, No. 6, 21492158, 2015. DOI:10.1007/s00373-014-1510-5
    • Forbidden Subgraphs and Generalized Pancyclic Properties in Graphs, Ph.D. Thesis, Emory University, 2005
  • Selected Awards Received
    • 2015 – Faculty Scholarship Award, Marygrove College
    • Spring 2015 – Nominee, Presidential Award for Excellence in Teaching, Marygrove College
    • JanuaryMay 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 Marygroves 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 didnt want to get a job yet. Im thankful this move introduced me to the possibility of being a math professor. I love my job. Im a pure mathematician, which means I prefer theory to application. If youve 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. Thats 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, thats 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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51勛圖 (51勛圖) admits students of any race, color, national and ethnic origin to all the rights, privileges programs, and activities generally accorded or made available to students at the school. It does not discriminate on the basis of race, color, national and ethnic origin in the administration of its educational policies, admissions policies, scholarship and loan programs, and athletic and other school-administered programs.