تقرير
A horizontal-strip LLT polynomial is determined by its weighted graph
| العنوان: | A horizontal-strip LLT polynomial is determined by its weighted graph |
|---|---|
| المؤلفون: | Tom, Foster |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Primary 05E05, Secondary 05E10, 05C15 |
| الوصف: | We prove that two horizontal-strip LLT polynomials are equal if the associated weighted graphs defined by the author in a previous paper are isomorphic. This provides a sufficient condition for equality of horizontal-strip LLT polynomials and yields a well-defined LLT polynomial indexed by a weighted graph. We use this to prove some new relations between LLT polynomials and we explore a connection with extended chromatic symmetric functions. Comment: 56 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2110.07984 |
| رقم الأكسشن: | edsarx.2110.07984 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |