The structure of graphs with no W 4 immersion

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The structure of graphs with no W 4 immersion

DeVos, Matt; Malekian, Mahdieh

Journal of graph theory, July 2021, Volume: 97, Issue: 4

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This paper gives a precise structure theorem for the class of graphs which do not contain W 4 as an immersion. This strengthens a previous result of Belmonte et al. that gives a rough description of this class. In fact, we prove a stronger theorem concerning rooted immersions of W 4 where one terminal is specified in advance. This stronger result is key in a forthcoming structure theorem for graphs with no K 3 , 3 immersion.

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DeVos, Matt | Malekian, Mahdieh

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