We survey the construction and classiﬁcation of one-, two- and inﬁnitely-ended members of a class of highly symmetric, highly connected inﬁnite graphs. In addition, we pose a conjecture concerning the relationship between the Petrie lines and ends of some inﬁnitely-ended members of this class.
Date of publication
Stephen Graves, Lindsey-Kay Lauderdale, Christina Graves, Kassie Archer
Masters in Mathematics
Chick, Ruby A., "Behavior of Petrie Lines in Certain Edge-Transitive Graphs" (2017). Math Theses. Paper 7.