关于图的顶点可分解性和正则性

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2022-01-24 DOI:10.24330/ieja.1217285

A. Mafi, Dler Naderi, Parasto Soufivand

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引用次数: 0

摘要

关于简单图的Castelnuovo-Mumford正则性和顶点可分解性，[M.M.Mahmoudi，A.Mousivand，M.Crupi，G.Rinaldo，N.Terai和S.Yassemi，arXiv:1006.1087v1]和[M.M.MMahmoudi，A.Mousivan，M.Cru皮，G.Rinaldo，N.Teray和S.Yassimi，J.Pure Appl.Algerage215（10）（2011），2473-2480]中有两个激励性问题。在这篇文章中，我们通过提供两个反例来否定这些问题。

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On vertex decomposability and regularity of graphs

There are two motivating questions in [M. Mahmoudi, A. Mousivand, M. Crupi, G. Rinaldo, N. Terai and S. Yassemi, arXiv:1006.1087v1] and [M. Mahmoudi, A. Mousivand, M. Crupi, G. Rinaldo, N. Terai and S. Yassemi, J. Pure Appl. Algebra, 215(10) (2011), 2473-2480] about Castelnuovo-Mumford regularity and vertex decomposability of simple graphs. In this paper, we give negative answers to the questions by providing two counterexamples.

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来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.