Iterated line graphs on bi-regular graphs and trees

Authors

Brenden Balch, University of Central OklahomaFollow

Abstract

In 1965, van Rooij and Wilf considered sequences of line graphs, in which they grouped sequences of line graphs into four categories. We’ll add to their research by presenting results on sequences of line graphs for star graphs and bi-regular graphs. We will then investigate slight variations of star graphs.

Author Bio

Brenden graduated from University of Central Oklahoma in 2017 and is now a graduate student at Colorado State University.

Faculty Sponsor

Liz Lane-Harvard

Recommended Citation

Balch, Brenden (2020) "Iterated line graphs on bi-regular graphs and trees," Rose-Hulman Undergraduate Mathematics Journal: Vol. 21: Iss. 1, Article 2.
Available at: https://scholar.rose-hulman.edu/rhumj/vol21/iss1/2