connectivity number

connectivity number

[kə‚nek′tiv·əd·ē ‚nəm·bər]
(mathematics)
The number of points plus 1 which can be removed from a curve without separating the curve into more than one piece.
The number of closed cuts or cuts joining points of previous cuts (or joining points on the boundary) plus 1 which can be made on a surface without separating the surface. Also known as Betti number.
In general, the n-dimensional connectivity number of a topological space X is the number of infinite cyclic groups whose direct sum with the torsion group Gn (X) forms the homology group Hn (X).
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References in periodicals archive ?
1997), the connectivity properties of the Boolean model are invariant by affine transformations, which changes the shapes and the sizes, but does not introduce any new connection (this property was used to estimate the 3D connectivity number of a Boolean model of ellipsoids).
1984), and the zeros of the connectivity number (Bretheau and Jeulin, 1989; Mecke and Stoyan, 2005), being only valid for isotropic Boolean models.
It was projected that the lack of legacy systems would lead to faster IPv6 deployment in the region, fueled by growing connectivity numbers and mobile network expansion.