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Nonorientable genera of Petersen powers

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Publication:2343443
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DOI10.1007/s10114-015-4096-9zbMath1310.05066OpenAlexW2047826304MaRDI QIDQ2343443

Ting Ru Shen, Wenzhong Liu, Yi-Chao Chen

Publication date: 5 May 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4096-9


zbMATH Keywords

genusdot productPetersen power


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)




Cites Work

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  • Polyhedral embeddings of snarks with arbitrary nonorientable genera
  • On embeddings of snarks in the torus
  • Families of dot-product snarks on orientable surfaces of low genus
  • Special classes of snarks
  • A census of boundary cubic rooted planar maps
  • A Kuratowski-type theorem for the maximum genus of a graph
  • The genus of Petersen powers
  • Infinite Families of Nontrivial Trivalent Graphs Which are Not Tait Colorable


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