What is "lambda-connectedness"

In applied mathematics, '''lambda-connectedness ''' (or λ-connectedness) deals with partial connectivity for a discrete space.

Assume that a function on a discrete space (usually a graph) is given. A degree of connectivity (connectedness) will be defined to measure the connectedness of the space with respect to the function. It was invented to create a new method for image segmentation. The method has expanded to handle other problems related to uncertainty for incomplete information analysis.

For a digital image and a certain value of λ, two pixels are called λ-connected if there is a path linking those two pixels and the connectedness of this path is at least λ. λ-connectedness is an equivalence relation.