Abstract
ABSTRACT A -connected graph G is optimally m-restricted edge-connected if its m-restricted edge-connectivity equals the minimum m-edge-degree , and super m-restricted edge-connected if all minimum m-restricted edge cuts are trivial. In this study, a bound for the size of graphs with girth greater than any given integer l is obtained firstly. Then the second minimum degree conditions for optimally and super m-restricted edge-connected graphs with girth greater than l are provided. Furthermore, the relationship between optimally m-restricted edge connectivity and optimally -restricted edge connectivity is characterized.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Paper version not known
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
