Title :
On super 3-restricted edge connectivity of regular strong product graphs with girth at least four
Author :
Qin, Yingying ; Xiong, Zhiping ; Wang, Jingyu
Author_Institution :
Dept. of Math. & Phys., Wuyi Univ., Jiangmen, China
Abstract :
It is known that communication networks with topologies being super 3-restricted edge connected graphs are more reliable under some reasonable conditions. Let Gi be maximally edge connected ki - regular graphs with k i≥ 3, i = 1,2 . It is proved in this work that if g(Gi) ≥ 4 , then the strong product G1⊗G2 of graphs G1 and G2 is super 3 -restricted edge connected.
Keywords :
graph theory; communication networks; girth; product graphs; super 3-restricted edge connectivity; topologies; Communication networks; Electronic mail; Mathematics; Network topology; Physics; Telecommunication network reliability; edge connectivity; regular graphs; strong product;
Conference_Titel :
Networking and Digital Society (ICNDS), 2010 2nd International Conference on
Conference_Location :
Wenzhou
Print_ISBN :
978-1-4244-5162-3
DOI :
10.1109/ICNDS.2010.5479264