The Regularity of Edge Rings and Matching Numbers

The Regularity of Edge Rings and Matching Numbers
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边环的规律性和匹配数

DOI:
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发表时间:
2019
期刊:
影响因子:
2.4
通讯作者:
T. Hibi
T. Hibi
中科院分区:
数学3区
文献类型:
--
作者:
J. Herzog;T. Hibi

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设K[G]表示[d]上有限连通简单图G的边环,MAT(G)是G的匹配数,证明了若G是非二部图且K[G]是正规的,则≤(K[G])≤MAT(G)−1若G是二部图.
Let K [ G ] denote the edge ring of a finite connected simple graph G on [ d ] and mat ( G ) the matching number of G. It is shown that reg ( K [ G ] ) ≤ mat ( G ) if G is non-bipartite and K [ G ] is normal, and that reg ( K [ G ] ) ≤ mat ( G ) − 1 if G is bipartite.
DOI: 10.1007/s00229-015-0752-8
发表时间: 2014-04
影响因子: 0.6
作者:
V. Ene;J. Herzog;Sara Saeedi Madani
通讯作者: V. Ene;J. Herzog;Sara Saeedi Madani