On the binomial edge ideals of block graphs

被引：14

作者：

Chaudhry, Faryal ^{[1
]}

Dokuyucu, Ahmet ^{[2
,3
]}

Irfan, Rida ^{[1
]}

机构：

[1] Govt Coll Univ, Abdus Salam Sch Math Sci, New Muslim Town, 68-B, Lahore 68B, Pakistan

[2] Ovidius Univ Constanta, Fac Math & Comp Sci, Bd Mamaia 124, Constanta 900527, Romania

[3] Lumina Univ South East Europe, Dept Informat Technol, Sos Colentina 64b, Bucharest, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2016年 / 24卷 / 02期

关键词：

Binomial edge ideals; regularity; depth;

D O I：

10.1515/auom-2016-0033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find a class of block graphs whose binomial edge ideals have minimal regularity. As a consequence, we characterize the trees whose binomial edge ideals have minimal regularity. Also, we show that the binomial edge ideal of a block graph has the same depth as its initial ideal.

引用

页码：149 / 158

页数：10

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