Colloquium – Al Scott Prize and Lecture

Wooly Graphs: Mathematics of knitting


3 to 4 p.m., April 26, 2024


Speakers:         Brian Bell, Program in Applied Mathematics, University of Arizona

Title:                Wooly Graphs: Mathematics of knitting

Abstract:         This talk will build a careful foundation for modeling knit objects using graphs in order to explore equivalences between knittable objects and well known graph structures and build theory for the complexity of determining knittability of graph structures. This discussion will also relate knitting properties with the topological genus of graphs and explore restrictions of general graph algorithms which are uniquely motivated by the knitting process. This foundation will be used to represent real-world knitting patterns and illustrate considerations of visualizing such patterns through force-directed graph layout algorithms.