Clocks are e-positive

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2025-08-14 DOI:10.1016/j.disc.2025.114723

L. Chen , Y.T. He , David G.L. Wang

引用次数: 0

Abstract

Along with his confirmation of the e-positivity of all cycle-chord graphs

θ_{a b 1}

, the third author conjectured the e-positivity of all theta graphs

θ_{a b c}

. In this paper, we establish the e-positivity of all clock graphs

θ_{a b 2}

by using the composition method. The key idea is to investigate the fibers of certain partial reversal transformation on compositions with all parts at least 2.

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时钟是e阳性的

在证实了所有循环弦图θab1的e-正性的同时，第三作者推测了所有θ图θabc的e-正性。本文用复合方法建立了所有时钟图θab2的e正性。关键思想是研究在所有部分至少为2的组合上的某些部分反转变换的光纤。

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.