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A note on the lacking polynomial of the complete bipartite graph

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Publication:6646436
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DOI10.1016/j.disc.2024.114323MaRDI QIDQ6646436

Amal Alofi, Mark Dukes

Publication date: 2 December 2024

Published in: Discrete Mathematics (Search for Journal in Brave)




zbMATH Keywords

complete bipartite graphlog-concavityclassification problemgraph polynomialsandpile modellacking polynomial


Mathematics Subject Classification ID

Graph polynomials (05C31) Structural characterization of families of graphs (05C75)





Cites Work

  • Unnamed Item
  • Tutte polynomial of multi-bridge graphs
  • Log-concavity and LC-positivity
  • The sand-pile model and Tutte polynomials
  • Hodge theory for combinatorial geometries
  • Parallelogram polyominoes, the sandpile model on a complete bipartite graph, and a \(q,t\)-Narayana polynomial
  • A natural stochastic extension of the sandpile model on a graph
  • Cyclotomic and simplicial matroids
  • On $W$-bases of directed graphs
  • Parallelogram polyominoes and rectangular EW-tableaux: Correspondences through the Sandpile model
  • Stellahedral geometry of matroids
  • Counting tournament score sequences
  • The stochastic sandpile model on complete graphs




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