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Exact counting of Euler tours for generalized series-parallel graphs

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Publication:414430
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DOI10.1016/j.jda.2011.03.011zbMath1241.05048arXiv1005.3477OpenAlexW1984327409MaRDI QIDQ414430

Russell Martin, Prasad Chebolu, Mary Cryan

Publication date: 11 May 2012

Published in: Journal of Discrete Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3477


zbMATH Keywords

series-parallel graphEuler tour


Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Graph algorithms (graph-theoretic aspects) (05C85) Eulerian and Hamiltonian graphs (05C45)


Related Items (2)

Bounded Treewidth and Space-Efficient Linear Algebra ⋮ Cross-series-parallel digraphs



Cites Work

  • Unnamed Item
  • Evaluating a weighted graph polynomial for graphs of bounded tree-width
  • Parallel recognition of series-parallel graphs
  • Combinatorial algorithms on a class of graphs
  • Forbidden subgraphs and graph decomposition
  • The Recognition of Series Parallel Digraphs
  • Asymptotic Enumeration of Eulerian Circuits in the Complete Graph
  • Random sampling of Euler tours


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