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Factorisation of greedoid polynomials of rooted digraphs

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Publication:2053691
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DOI10.1007/s00373-021-02347-0zbMath1479.05165arXiv1809.02924OpenAlexW3176891072MaRDI QIDQ2053691

Kai Siong Yow, Kerri Morgan, Graham E. Farr

Publication date: 30 November 2021

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

Full work available at URL: https://arxiv.org/abs/1809.02924

zbMATH Keywords

factorisationarborescencegreedoidgreedoid polynomialdirected branching greedoidrooted digraph


Mathematics Subject Classification ID

Graph polynomials (05C31) Combinatorial aspects of matroids and geometric lattices (05B35) Directed graphs (digraphs), tournaments (05C20)



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Cites Work

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  • Interval partitions and activities for the greedoid Tutte polynomial
  • Greedoids
  • A Tutte polynomial which distinguishes rooted unicyclic graphs
  • Contraction-deletion invariants for graphs
  • Irreducibility of the Tutte polynomial of a connected matroid
  • Polymatroid greedoids
  • Certificates of factorisation for chromatic polynomials
  • Non-isomorphic caterpillars with identical subtree data
  • A Greedoid Polynomial Which Distinguishes Rooted Arborescences
  • Introduction to Greedoids
  • On the greedoid polynomial for rooted graphs and rooted digraphs
  • A Contribution to the Theory of Chromatic Polynomials
  • Digraph analogues of the Tutte polynomial
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