Obstructions of Connectivity Two for Embedding Graphs into the Torus

Author:

Mohar Bojan,Škoda Petr

Abstract

AbstractThe complete set of minimal obstructions for embedding graphs into the torus is still not determined. In this paper, we present all obstructions for the torus of connectivity 2. Furthermore, we describe the building blocks of obstructions of connectivity 2 for any orientable surface.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 6 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. Excluded minors for the Klein bottle II. Cascades;Journal of Combinatorial Theory, Series B;2024-05

2. Excluded minors for the Klein bottle I. Low connectivity case;Journal of Combinatorial Theory, Series B;2024-01

3. k-apices of minor-closed graph classes. I. Bounding the obstructions;Journal of Combinatorial Theory, Series B;2023-07

4. Minor obstructions for apex-pseudoforests;Discrete Mathematics;2021-10

5. Obstructions for two-vertex alternating embeddings of graphs in surfaces;European Journal of Combinatorics;2017-01

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