scholarly journals Flow extensions and group connectivity with applications

2020 ◽  
Vol 89 ◽  
pp. 103164
Author(s):  
Jiaao Li
Keyword(s):  
Group Connectivity

Group connectivity: Z4 vs Z22

2019 ◽  
Vol 93 (3) ◽  
pp. 317-327 ◽  
Author(s):  
Radek Hušek ◽  
Lucie Mohelníková ◽  
Robert Šámal
Keyword(s):  
Group Connectivity

scholarly journals A note on an extremal problem for group-connectivity

2014 ◽  
Vol 40 ◽  
pp. 137-141 ◽  
Author(s):  
Yezhou Wu ◽  
Rong Luo ◽  
Dong Ye ◽  
Cun-Quan Zhang
Keyword(s):  
Extremal Problem ◽  
Group Connectivity

scholarly journals Group connectivity of graphs with diameter at most 2

2006 ◽  
Vol 27 (3) ◽  
pp. 436-443 ◽  
Author(s):  
Hong-Jian Lai ◽  
Xiangjuan Yao
Keyword(s):  
Group Connectivity

Navigation of non-communicating autonomous mobile robots with guaranteed connectivity

Robotica ◽  
2013 ◽  
Vol 31 (5) ◽  
pp. 767-776 ◽  
Author(s):  
Ahmet Cezayirli ◽  
Feza Kerestecioğlu
Keyword(s):  
Mobile Robots ◽  
Measurement Errors ◽  
Real Life ◽  
Autonomous Mobile Robots ◽  
Optimal Solutions ◽  
Position Measurement ◽  
Position Information ◽  
Computational Burden ◽  
Group Connectivity ◽  
Explicit Communication

SUMMARYWe consider the connectivity of autonomous mobile robots. The robots navigate using simple local steering rules without requiring explicit communication among themselves. We show that using only position information of neighbors, the group connectivity can be sustained even in the case of bounded position measurement errors and the occlusion of robots by other robots in the group. In implementing the proposed scheme, sub-optimal solutions are invoked to avoid an excessive computational burden. We also discuss the possibility of deadlock which may bring the group to a standstill and show that the proposed methodology avoids such a scenario in real-life settings.

scholarly journals Group connectivity under 3‐edge‐connectivity

2020 ◽  
Author(s):  
Miaomiao Han ◽  
Jiaao Li ◽  
Xueliang Li ◽  
Meiling Wang
Keyword(s):  
Edge Connectivity ◽  
Group Connectivity

Maximum Degree Condition and Group Connectivity

2013 ◽  
Vol 30 (4) ◽  
pp. 1055-1063
Author(s):  
Xiaoxia Zhang ◽  
Xiangwen Li
Keyword(s):  
Maximum Degree ◽  
Degree Condition ◽  
Group Connectivity

scholarly journals An extremal problem on group connectivity of graphs

2012 ◽  
Vol 33 (6) ◽  
pp. 1078-1085 ◽  
Author(s):  
Rong Luo ◽  
Rui Xu ◽  
Gexin Yu
Keyword(s):  
Extremal Problem ◽  
Group Connectivity
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