Hanely Presents at RESS Petri Plate Pizza Session

Posted on 6/23/2016 2:59:29 PM

The second seminar of the Research Experience for Summer Scholars (RESS) program took place Friday, June 24, in 240 Weyandt Hall, with a presentation from Derek Hanely, an RESS scholar and IUP applied mathematics major.

Derek is working under the direction of Rachelle Bouchat during the 10-week summer program.  

Seminar Title: Exploring the Double-Critical Graph Conjecture

Abstract:

HanleyRESSPresentationA simple, connected graph G is said to be double-critical if removing any pair of adjacent vertices lowers the chromatic number, χ, by exactly two. In 1966, Paul Erdős and László Lovász proposed the double-critical graph conjecture which states that the complete graph on n vertices is the only simple, connected graph with chromatic number n such that it is a double-critical graph. This result has been proven for the case where χ(G) = 5, but it has yet to be shown for general n. The mathematical concepts related to this problem will be explored, and ensuing discussion of my preliminary work and future direction involving the construction of a computer program for analyzing general graphs will be covered.

About the Research Experience for Summer Scholars (RESS) Program

The IUP College of Natural Science and Mathematics’ RESS program provides IUP students research experiences in their field of study though hands on research with one-on-one faculty engagement. The program fosters student professional development with events that promote growth with workshops, networking, and the presenting scientific work. The summer’s events are capped with a world-class keynote speaker and poster session in August. This year, we are happy to host our keynote speaker, Anne Jefferson.

Questions about the RESS program can be directed to Justin Fair at j.fair@iup.edu

Schedule of Events

June 1: Ice Cream Social

  • For students and faculty (3:00–4:30, Weyandt Hall 240)

June 10: Petri Plate Pizza Session #1, Student Presenter Allison Berry

  • For students and faculty (11:30–1:00, Weyandt Hall 240)

June 15: Resume Writing Workshop, Presented by Justin Fair

  • For students (3:30–4:30, Weyandt Hall 240 or Writing Center)

June 24: Petri Plate Pizza Session #2, Student Presenter Derek Hanely

  • For students and faculty (11:30–1:00, Weyandt Hall 240)