有限域上的可变代数的差分图

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2025-05-21 DOI:10.1016/j.disc.2025.114569

Neha Prabhu

引用次数: 0

摘要

李温妮于1992年研究了有限域Fqn差分图的性质。本文扩展了她的工作，研究了Fq上的代数的差分图的谱、连通性和周长。本文研究了奇偶特征域，并对这类二部图进行了识别。得到了非拉马努金图的显式例子。

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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Difference graphs of étale algebras over finite fields

Properties of difference graphs of finite fields

F_{q^{n}}

were studied by Winnie Li in 1992. This article extends her work and investigates the spectrum, connectivity, girth of difference graphs of étale algebras over

F_{q}

. The study covers fields of odd as well as even characteristic, and identifies the bipartite graphs in this family. Explicit examples of non-Ramanujan graphs are obtained.

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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.