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The Cartesian product of three triangles can be embedded into a subspace of genus 7

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Publication:1068095
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DOI10.1016/0012-365X(85)90197-9zbMath0581.05019MaRDI QIDQ1068095

Tomaž Pisanski, Martin Škoviera, Bojan Mohar, Arthur T. White

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

Cayley graphembeddingsgenusorientable surface


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graph theory (05C99)


Related Items (7)

On the genus of \({\mathbb{Z}}_ 3\times {\mathbb{Z}}_ 3\times {\mathbb{Z}}_ 3\) ⋮ Nonorientable embeddings of groups ⋮ Genus of the Cartesian product of triangles ⋮ The genus of the Gray graph is 7 ⋮ Stronger ILPs for the Graph Genus Problem. ⋮ Unnamed Item ⋮ On embeddings of circulant graphs



Cites Work

  • Unnamed Item
  • On the genus of finite abelian groups
  • Classification of the toroidal groups
  • Some problems in topological graph theory
  • Nonorientable genus of cartesian products of regular graphs




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