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Rose McCarty, Vertex-minors and flooding immersions
Wednesday, January 13, 2021 @ 10:00 AM - 11:00 AM KST
An immersion of a graph H into a graph G sends edges of H into edge-disjoint trails of G. We say the immersion is flooding if every edge of G is in one of the trails. Flooding immersions are interesting for Eulerian group-labelled graphs; in this context they behave quite differently from regular immersions. Moreover, understanding such flooding immersions is a vital step towards understanding the structure of graphs with a forbidden vertex-minor.
I will focus on explaining the connection to vertex-minors, and on recent progress in this direction from ongoing joint work with Jim Geelen and Paul Wollan.