Conditional fractional matching preclusion of n-dimensional torus networks

2021 ◽  
Vol 293 ◽  
pp. 157-165
Author(s):  
Xiaomin Hu ◽  
Yingzhi Tian ◽  
Jixiang Meng ◽  
Weihua Yang
Keyword(s):  
Dimensional Torus ◽  
Torus Networks

scholarly journals Matching preclusion for n -dimensional torus networks

2017 ◽  
Vol 687 ◽  
pp. 40-47 ◽  
Author(s):  
Xiaomin Hu ◽  
Yingzhi Tian ◽  
Xiaodong Liang ◽  
Jixiang Meng
Keyword(s):  
Dimensional Torus ◽  
Torus Networks

scholarly journals Broadcastings and digit tilings on three-dimensional torus networks

2011 ◽  
Vol 412 (4-5) ◽  
pp. 307-319 ◽  
Author(s):  
Ryotaro Okazaki ◽  
Hirotaka Ono ◽  
Taizo Sadahiro ◽  
Masafumi Yamashita
Keyword(s):  
Three Dimensional ◽  
Dimensional Torus ◽  
Torus Networks

scholarly journals Panconnectivity of n-dimensional torus networks with faulty vertices and edges

2013 ◽  
Vol 161 (3) ◽  
pp. 404-423 ◽  
Author(s):  
Jun Yuan ◽  
Aixia Liu ◽  
Hongmei Wu ◽  
Jing Li
Keyword(s):  
Dimensional Torus ◽  
Torus Networks

Regular Connected Bipancyclic Spanning Subgraphs of Torus Networks

2018 ◽  
Vol 28 (04) ◽  
pp. 1850013 ◽  
Author(s):  
Miao Lu ◽  
Shurong Zhang ◽  
Weihua Yang
Keyword(s):  
Dimensional Torus ◽  
Spanning Subgraphs ◽  
Spanning Subgraph ◽  
Strong Property ◽  
Torus Networks

It is well known that an [Formula: see text]-dimensional torus [Formula: see text] is Hamiltonian. Then the torus [Formula: see text] contains a spanning subgraph which is 2-regular and 2-connected. In this paper, we explore a strong property of torus networks. We prove that for any even integer [Formula: see text] with [Formula: see text], the torus [Formula: see text] contains a spanning subgraph which is [Formula: see text]-regular, k-connected and bipancyclic; and if [Formula: see text] is odd, the result holds when some [Formula: see text] is even.

scholarly journals Strong matching preclusion for n-dimensional torus networks

2016 ◽  
Vol 635 ◽  
pp. 64-73 ◽  
Author(s):  
Xiaomin Hu ◽  
Yingzhi Tian ◽  
Xiaodong Liang ◽  
Jixiang Meng
Keyword(s):  
Dimensional Torus ◽  
Torus Networks
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