Polynomial graph invariants and the KP hierarchy
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Publication:2190734
DOI10.1007/s00029-020-00562-wzbMath1442.05101arXiv1803.09800OpenAlexW3034752652MaRDI QIDQ2190734
Sergei K. Lando, Maxim E. Kazaryan, Sergei Chmutov
Publication date: 22 June 2020
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.09800
Graph polynomials (05C31) Exact enumeration problems, generating functions (05A15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Boundary value problems for functional-differential equations (34K10) Hopf algebras and their applications (16T05)
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Uses Software
Cites Work
- The KP hierarchy, branched covers, and triangulations
- The umbral calculus
- A weighted graph polynomial from chromatic invariants of knots
- Incidence Hopf algebras
- A certain polynomial of a graph and graphs with an extremal number of trees
- Toda equations for Hurwitz numbers
- Forest volume decompositions and Abel-Cayley-Hurwitz multinomial expansions
- A symmetric function generalization of the chromatic polynomial of a graph
- On a Hopf algebra in graph theory
- Hopf algebra methods in graph theory
- Invariants of framed graphs and the Kadomtsev-Petviashvili hierarchy
- The contributions of Stanley to the fabric of symmetric and quasisymmetric functions
- Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
- Combinatorial solutions to integrable hierarchies
- Coalgebras and Bialgebras in Combinatorics
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