In this paper we will prove some results about infinite graphs. We show that for every linear order there is a graph with a distinguished vertex such that the edges adjacent to that vertex have the given order in any plane drawing. The other results are concerned with connectivity. We prove a generalization of a characterization of 2-connected graphs and prove that k-connectedness does not imply the existence of finite kconnected subgraphs for k > 2.
Zimmermann, Martin, "Independent Study on Infinite Graph Theory" (2008). Technical Reports. 4.