Published May 27, 2016 | Version v1
Publication

Consequences of some outerplanarity extensions

Description

In this expository paper we revise some extensions of Kuratowski planarity criterion, providing a link between the embeddings of infinite graphs without accumulation points and the embeddings of finite graphs with some distinguished vertices in only one face. This link is valid for any surface and for some pseudosurfaces. On the one hand, we present some key ideas that are not easily accessible. On the other hand, we state the relevance of infinite, locally finite graphs in practice and suggest some ideas for future research.

Additional details

Created:
March 27, 2023
Modified:
November 29, 2023