Author:
Christian Robin,Richter R. Bruce,Rooney Brendan
Abstract
The planarity theorems of MacLane and Whitney are extended to compact graph-like spaces. This generalizes recent results of Bruhn and Stein (MacLane's Theorem for the Freudenthal compactification of a locally finite graph) and of Bruhn and Diestel (Whitney's Theorem for an identification space obtained from a graph in which no two vertices are joined by infinitely many edge-disjoint paths).
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Eulerian Spaces;Memoirs of the American Mathematical Society;2023-12
2. Graph‐like compacta: Characterizations and Eulerian loops;Journal of Graph Theory;2020-03-06
3. Infinite Graphic Matroids;Combinatorica;2018-03-27
4. Topological cycle matroids of infinite graphs;European Journal of Combinatorics;2017-02
5. Embedding a graph-like continuum in a surface;Combinatorica;2014-09-29