IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Biplanar Crossing Numbers and Random Graphs

John Asplund
Dalton State College
https://dscweb.daltonstate.edu/faculty-staff/jasplund/index.html
Abstract

2-Block Intersection Graphs and Chasing the Elusive White Rabbit

  • Feb. 23, 2018
  • 1 p.m.
  • LeConte 312

Often when we go to presentations, we see only the end product of one's multi-year project(s). What goes into an investigation and what holes-of-thought do we get stuck on as we progress through our project? In this talk, I'll focus on the Hamiltonicity of 2-block intersection graphs (2-BIG) of a triple system. Simply put, a triple system is a tool for building a certain class of graphs and we are interested in showing which 2-BIGs contain a cycle that spans the entire graph.

This talk will cover this two-plus year project that involves ups-and-downs. Additionally, I will detail some tips and tricks for dealing with research in combinatorics that are useful in other concentrations as well. Were we successful? Did we accomplish what we set out to do? Come and find out! Joint work with Melissa Keranen, Michigan Technological University.

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