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Proper $q$-caterpillars are distinguished by their Chromatic Symmetric Functions (2307.02234v2)
Published 5 Jul 2023 in math.CO
Abstract: Stanley's Tree Isomorphism Conjecture posits that the chromatic symmetric function can distinguish non-isomorphic trees. While already established for caterpillars and other subclasses of trees, we prove the conjecture's validity for a new class of trees that generalize proper caterpillars, thus confirming the conjecture for a broader class of trees.
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