Standard monomials of 1-skeleton ideals of graphs and generalized signless Laplacians

DOI10.1016/j.laa.2021.12.003zbMath1481.05069OpenAlexW4200534326MaRDI QIDQ2070836

Gargi Lather, Amit Roy, Chanchal Kumar

Publication date: 24 January 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2021.12.003

zbMATH Keywords

signless Laplacianparking functionsstandard monomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Matrices of integers (15B36)

Related Items (1)

Trees, parking functions, and standard monomials of skeleton ideals

Cites Work

• Parking functions and tree inversions revisited
• On a conjecture concerning spanning tree invariants and loop systems
• A polytope related to empirical distributions, plane trees, parking functions, and the associahedron
• \(G\)-parking functions and tree inversions
• A family of bijections between \(G\)-parking functions and spanning trees
• Gončarov polynomials and parking functions
• A family of matrix-tree multijections
• Trees, parking functions, syzygies, and deformations of monomial ideals
• Trees, parking functions, and standard monomials of skeleton ideals
• The Smirnov Two Sample Tests as Rank Tests
• Rectangle Probabilities for Uniform Order statistics and the Probability That the Empirical Distribution Function Lies Between Two Distribution Functions
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