Short cycle structure of graphs on surfaces. I: The uniqueness theorems

DOI10.1007/s10255-005-5090-yzbMath1146.05018OpenAlexW1966309553MaRDI QIDQ950676

Han Ren, Mo Deng

Publication date: 27 October 2008

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

Full work available at URL: https://doi.org/10.1007/s10255-005-5090-y

zbMATH Keywords

graph embeddingcycle basefacial cycle

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10) Eulerian and Hamiltonian graphs (05C45)

Cites Work

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• Embeddings of graphs with no short noncontractible cycles
• Generating cycle spaces for graphs on surfaces with small genera
• A Polynomial-Time Algorithm to Find the Shortest Cycle Basis of a Graph
• On connectivities of tree graphs
• Cycle bases of minimal measure for the structural analysis of skeletal structures by the flexibility method
• Minimum cycle bases of Halin graphs
• On Representatives of Subsets
• On the Abstract Properties of Linear Dependence
• On the Tree Graph of a Matroid
• Theory of Matroids

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