Regularity of powers of binomial edge ideals of complete multipartite graphs

Hong Wang; Zhongming Tang

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 3, page 793-810
  • ISSN: 0011-4642

Abstract

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Let G = K n 1 , n 2 , ... , n r be a complete multipartite graph on [ n ] with n > r > 1 and J G being its binomial edge ideal. It is proved that the Castelnuovo-Mumford regularity reg ( J G t ) is 2 t + 1 for any positive integer t .

How to cite

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Wang, Hong, and Tang, Zhongming. "Regularity of powers of binomial edge ideals of complete multipartite graphs." Czechoslovak Mathematical Journal 73.3 (2023): 793-810. <http://eudml.org/doc/299102>.

@article{Wang2023,
abstract = {Let $G=K_\{n_1,n_2,\ldots ,n_r\}$ be a complete multipartite graph on $[n]$ with $n>r>1$ and $J_G$ being its binomial edge ideal. It is proved that the Castelnuovo-Mumford regularity $\{\rm reg\}(J^t_G)$ is $2t+1$ for any positive integer $t$.},
author = {Wang, Hong, Tang, Zhongming},
journal = {Czechoslovak Mathematical Journal},
keywords = {Castelnuovo-Mumford regularity; binomial edge ideal; multipartite graph},
language = {eng},
number = {3},
pages = {793-810},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Regularity of powers of binomial edge ideals of complete multipartite graphs},
url = {http://eudml.org/doc/299102},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Wang, Hong
AU - Tang, Zhongming
TI - Regularity of powers of binomial edge ideals of complete multipartite graphs
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 3
SP - 793
EP - 810
AB - Let $G=K_{n_1,n_2,\ldots ,n_r}$ be a complete multipartite graph on $[n]$ with $n>r>1$ and $J_G$ being its binomial edge ideal. It is proved that the Castelnuovo-Mumford regularity ${\rm reg}(J^t_G)$ is $2t+1$ for any positive integer $t$.
LA - eng
KW - Castelnuovo-Mumford regularity; binomial edge ideal; multipartite graph
UR - http://eudml.org/doc/299102
ER -

References

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