REGULARITY BOUNDS FOR BINOMIAL EDGE IDEALS

被引:63
作者
Matsuda, Kazunori [1 ]
Murai, Satoshi [2 ]
机构
[1] Rikkyo Univ, Coll Sci, Dept Math, Toshima Ku, Tokyo 1718501, Japan
[2] Yamaguchi Univ, Dept Math Sci, Fac Sci, Yamaguchi 7538512, Japan
关键词
D O I
10.1216/JCA-2013-5-1-141
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that the Castelnuovo-Mumford regularity of the binomial edge ideal of a graph is bounded below by the length of its longest induced path and bounded above by the number of its vertices.
引用
收藏
页码:141 / 149
页数:9
相关论文
共 9 条
[1]  
Bruns W., 1998, COHEN MACAULAY RINGS
[2]  
Diestel R., 2010, GRAPH THEORY, V173
[3]  
Grayson Daniel R., Macaulay 2, a software system for research in algebraic geometry
[4]   Binomial edge ideals and conditional independence statements [J].
Herzog, Juergen ;
Hibi, Takayuki ;
Hreinsdottir, Freyja ;
Kahle, Thomas ;
Rauh, Johannes .
ADVANCES IN APPLIED MATHEMATICS, 2010, 45 (03) :317-333
[6]  
Madani SS, 2012, ELECTRON J COMB, V19
[7]  
Matsui T., PYTHON PROGRAM GENER
[8]   GRAPHS AND IDEALS GENERATED BY SOME 2-MINORS [J].
Ohtani, Masahiro .
COMMUNICATIONS IN ALGEBRA, 2011, 39 (03) :905-917
[9]  
Peeva I, 2011, ALGEBRA APPL, V14, P1, DOI 10.1007/978-0-85729-177-6_1