On the genus of \({\mathbb{Z}}_ 3\times {\mathbb{Z}}_ 3\times {\mathbb{Z}}_ 3\)
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Publication:1111558
DOI10.1016/S0195-6698(88)80002-7zbMath0658.05022MaRDI QIDQ1111558
Matthew G. Brin, Craig C. Squier
Publication date: 1988
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items (9)
A practical algorithm for the computation of the genus ⋮ Genus of the Cartesian product of triangles ⋮ Groups of small symmetric genus ⋮ On the genus of the semidirect product of ℤ9 by ℤ3 ⋮ The genus of the Gray graph is 7 ⋮ Embeddings of cartesian products of nearly bipartite graphs ⋮ Stronger ILPs for the Graph Genus Problem. ⋮ Unnamed Item ⋮ On embeddings of circulant graphs
Cites Work
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- Finite groups acting on surfaces and the genus of a group
- The Cartesian product of three triangles can be embedded into a subspace of genus 7
- On the genus of finite abelian groups
- On the genus of the semidirect product of ℤ9 by ℤ3
- Some problems in topological graph theory
- On the Genus of a Group
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