Lee-Yang phenomena in edge-coloured graph counting.

First Authors Maximilian Wiesmann
Authors Maximilian Wiesmann
Corresponding Authors
Last Authors Maximilian Wiesmann
Journal Name ArXiv (ArXiv)
Volume
Issue
Article Number arXiv:2601.02525
Open Access true
Print Publication Date
Online Publication Date 2026-01-05
Abstract We study the accumulation of zeros of a polynomial arising from the enumeration of edge-coloured graphs along certain limit curves. The polynomial is a variant of an edge-chromatic polynomial, which specialises to the partition function of the ferromagnetic Ising model on a random regular graph. We call this accumulation behaviour a Lee-Yang phenomenon in analogy with the Lee-Yang theorem. The limiting loci are semialgebraic and arise from anti-Stokes curves of an exponential integral.
Cover Image
Affiliated With Maraj, Postdocs, CSBD
Selected By
Acknowledged Services
Publication Status Published
Edoc Link
Sfx Link
DOI
PubMed ID
WebOfScience Link
Alternative Full Text URL https://doi.org/10.48550/arXiv.2601.02525
Display Publisher Download Only false
Visible On MPI-CBG Website true
PDF Downloadable true
Created By thuem
Added Date 2026-02-12
Last Edited By thuem
Last Edited Date 2026-02-12 12:29:41.406
Library ID 9139
Document ID
Entry Complete true
eDoc Compliant false
Include in Edoc Report false
In Pure false
Ready for eDoc Export false
Author Affiliations Complete false
Project Name
Project URL
Grant ID
Funding Programme
Funding Organisation