Expanding the unicellular LLT polynomials of two-headed melting lollipops into ribbon Schurs

We prove a simple formula expanding the unicellular LLT polynomials of a class of graphs we call two-headed melting lollipops into ribbon Schur functions. Our work extends the Schur expansion originally found for melting lollipop graphs by Huh, Nam, and Yoo.

Publication Details

Journal
ArXiv.org
Published
2025-04-11
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Expanding the unicellular LLT polynomials of two-headed melting lollipops into ribbon Schurs

ArXiv.org
Advanced Combinatorial Mathematics
article

Expanding the unicellular LLT polynomials of two-headed melting lollipops into ribbon Schurs

article en

Abstract

We prove a simple formula expanding the unicellular LLT polynomials of a class of graphs we call two-headed melting lollipops into ribbon Schur functions. Our work extends the Schur expansion originally found for melting lollipop graphs by Huh, Nam, and Yoo.

ArXiv.org
Openalex Percentile: Top 41%
Advanced Combinatorial Mathematics
Open Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Expanding the unicellular LLT polynomials of two-headed melting lollipops into ribbon Schurs · ArXiv.org (2025) | TGRS Research Map | TGRS