My research focus is on structural problems in graph theory concerning the immersion relation. I am currently studying the behavior of the immersion relation and other containment relations on graphs (such as the minor and topological minor relations) with respect to the line graph operation. Some observations from this study have led to the formation of a new containment relation that bridges the gap between topological minors and immersions. Look forward to more on this subject soon!


M. Guyer and J. McDonald, On clique immersions in line graphs, Discrete Math. 343 (2020), article 112095 (7 pages). [arXiv][Journal]