Binomial Edge Ideals: A Survey

被引:9
作者
Madani, Sara Saeedi [1 ,2 ]
机构
[1] Amirkabir Univ Technol, Tehran Polytech, Dept Math & Comp Sci, Tehran, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran
来源
MULTIGRADED ALGEBRA AND APPLICATIONS | 2018年 / 238卷
关键词
Binomial edge ideal; Grobner bases; Koszul property; Primary decomposition; Cohen-Macaulay; Free resolution; Regularity; COHEN-MACAULAY; REGULARITY; GRAPHS;
D O I
10.1007/978-3-319-90493-1_4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This is a survey paper on binomial edge ideals of graphs. We give an overview of various studied properties and invariants of those ideals, with special attention to their Grobner bases, primary decomposition and minimal graded free resolution.
引用
收藏
页码:83 / 94
页数:12
相关论文
共 36 条
[1]  
Badiane M, 2017, ELECTRON J COMB, V24
[2]   GRAPH CONNECTIVITY AND BINOMIAL EDGE IDEALS [J].
Banerjee, Arindam ;
Nunez-Betancourt, Luis .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (02) :487-499
[3]  
Baskoroputro H, 2017, ARXIV170207316
[4]   Binomial edge ideals of bipartite graphs [J].
Bolognini, Davide ;
Macchia, Antonio ;
Strazzanti, Francesco .
EUROPEAN JOURNAL OF COMBINATORICS, 2018, 70 :1-25
[5]   On the binomial edge ideals of block graphs [J].
Chaudhry, Faryal ;
Dokuyucu, Ahmet ;
Irfan, Rida .
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (02) :149-158
[6]  
Cox D. A, 2013, ARXIV13065149V1
[7]   Closed graphs are proper interval graphs [J].
Crupi, Marilena ;
Rinaldo, Giancarlo .
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2014, 22 (03) :37-44
[8]  
Crupi M, 2011, ELECTRON J COMB, V18
[9]  
Dokuyucu A, 2015, MATH REP, V17, P359
[10]  
Ene V, 2014, SPRINGER P MATH STAT, P127