• Corpus ID: 239009434

# A horizontal-strip LLT polynomial is determined by its weighted graph

@inproceedings{Tom2021AHL,
title={A horizontal-strip LLT polynomial is determined by its weighted graph},
author={Foster Tom},
year={2021}
}
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 welldefined 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.

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