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Balanced vertex weightings and arborescences

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Publication:1108289
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DOI10.1016/0095-8956(87)90046-3zbMath0654.05040OpenAlexW1971892699MaRDI QIDQ1108289

Kenneth A. Berman

Publication date: 1987

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0095-8956(87)90046-3


zbMATH Keywords

digraphAbelian groupweightingarborescence numbersbalanced vertex weightingsTutte's trinity theorem


Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)


Related Items (1)

Generalized bicycles



Cites Work

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  • Bicycles and Spanning Trees
  • Rotors in Graph Theory
  • A Combinatorial Proof of the All Minors Matrix Tree Theorem
  • Matrix Generalizations of Some Theorems on Trees, Cycles and Cocycles in Graphs
  • On the Principal Edge Tripartition of a Graph
  • Leaky Electricity: 1-Chain Formulas for the Current and Voltage
  • A Proof of Tuite’s Trinity Theorem and a New Determinant Formula
  • On Vector Spaces Associated with a Graph
  • Graph property recognition machines




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