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September 24, 2025Open Access

Chromatic quasisymmetric functions for signed graphs

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Authors

JAJean-Christophe AvalCentre National de la Recherche ScientifiqueRMRaquel Melgar

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Implication

This study extends the concept of chromatic symmetric functions to signed graphs, highlighting key algebraic structures.

Key Points

  • The introduction of a signed chromatic quasisymmetric invariant enhances our understanding of signed graphs.
  • Structural properties of the signed chromatic quasisymmetric invariant offer insights into algebraic combinatorics.
  • The study leads to the definition and exploration of SQSym, an algebra of signed quasisymmetric functions.
  • Connections are drawn between these functions and existing theories, particularly regarding hyperplane arrangements.

Cite This Study

Aval et al. (2025) studied this question.

synapsesocial.com/papers/68d6d8978b2b6861e4c3eb7dhttps://doi.org/10.48550/arxiv.2508.20200
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1An Extension of Stanley's Symmetric Acyclicity Theorem to Signed Graphs2024
  2. 2The Chromatic Symmetric Function of a Graph Centred at a Vertex2024 · 4 citations
  3. 3Chromatic polynomials of signed graphs and dominating-vertex deletion formulae2024
  4. 4Chromatic quasisymmetric functions of the path graph2024
  5. 5Homogeneous sets in graphs and a chromatic multisymmetric function2024