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Enumeration of connected spanning subgraphs of a planar graph

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Publication:1053032
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DOI10.1007/BF01994058zbMath0517.05044MaRDI QIDQ1053032

Yutze Chow, Chuan-I Liu

Publication date: 1983

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)


zbMATH Keywords

spanning subgraphscycle-adjacency matrixindependent cycles


Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)


Related Items (8)

A method to calculate the number of spanning connected unicyclic(bicyclic) subgraphs in 2-separable networks ⋮ Combinatorial aspects of network reliability ⋮ Invulnerability of planar two-tree networks ⋮ An Operator Approach to the Principle of Inclusion and Exclusion ⋮ On enumeration of spanning subgraphs with a preassigned cyclomatic number in a graph ⋮ On Operator and Formal Sum Methods for Graph Enumeration Problems ⋮ An operator approach to some graph enumeration problems ⋮ Network reliability: Numbers or insight? (A discussion paper)



Cites Work

  • Enumeration of Forests in a Graph
  • Some Topological Properties Connected to the Parametrized Feynman Amplitudes


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