Proper q-caterpillars are distinguished by their Chromatic Symmetric Functions

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2024-07-17 DOI:10.1016/j.disc.2024.114162

Arunkumar Ganesan , Narayanan Narayanan , B. V. Raghavendra Rao , Sagar S. Sawant

引用次数: 0

Abstract

Stanley's Tree Isomorphism Conjecture posits that the chromatic symmetric function can distinguish non-isomorphic trees. This conjecture is 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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适当的 q-caterpillars 可通过其色度对称函数加以区分

斯坦利的树同构猜想认为，色度对称函数可以区分非同构树。这一猜想已经在毛毛虫和其他亚类树中得到证实。我们证明了这一猜想对一类新树的有效性，这一类新树概括了适当的毛毛虫，从而证实了这一猜想适用于更广泛的树类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Discrete Mathematics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

424

审稿时长

6 months

期刊介绍： Discrete Mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. Among the fields covered by Discrete Mathematics are graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, and discrete probability theory. Items in the journal include research articles (Contributions or Notes, depending on length) and survey/expository articles (Perspectives). Efforts are made to process the submission of Notes (short articles) quickly. The Perspectives section features expository articles accessible to a broad audience that cast new light or present unifying points of view on well-known or insufficiently-known topics.