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Enumerative properties of rooted circuit maps

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Publication:604989
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DOI10.1007/s00373-010-0937-6zbMath1230.05161OpenAlexW2123754314MaRDI QIDQ604989

Han Ren, Zhi-Cheng Gao

Publication date: 12 November 2010

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-010-0937-6

zbMATH Keywords

enumerationrooted mapcircuit graph


Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)




Cites Work

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  • 3-trees with few vertices of degree 3 in circuit graphs
  • A survey of the asymptotic behaviour of maps
  • Face sizes of 3-polytopes
  • Submaps of maps. I: General 0-1 laws
  • 2-connected spanning subgraphs of planar 3-connected graphs
  • 2-walks in circuit graphs
  • Convex programming and circumference of 3-connected graphs of low genus
  • Long cycles in 3-connected graphs
  • Almost all maps are asymmetric
  • Singularity Analysis of Generating Functions
  • Asymptotic Methods in Enumeration
  • 2‐connected coverings of bounded degree in 3‐connected graphs
  • Trees in Polyhedral Graphs
  • The enumeration of c-nets via quadrangulations
  • On the Enumeration of Rooted Non-Separable Planar Maps
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