Network state model construction method and state evaluation method based on differential manifold
A state evaluation, differential manifold technology, applied in data exchange networks, digital transmission systems, electrical components, etc., can solve the problems of missing partial paths, low computational efficiency, difficulties, etc., to achieve good computational scalability and ensure integrity. , to ensure a comprehensive effect
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[0016] The present invention will be described in detail below in conjunction with the embodiments.
[0017] The invention provides a network state model construction method and a network state evaluation method based on differential manifolds.
[0018] Differential manifold is an important class of space in topology and geometry, and it is a topological manifold with differential structure. A space can be defined as a manifold needs to meet the following two conditions: (1) the space M is a Hausdorff space; (2) The neighborhood U of p can be homeomorphically mapped to the Euclidean space R m A region V of . The dimensions of R and M are both m.
[0019] Topological manifolds have the following properties: (1) Manifold M is a locally compact topological space; (2) Manifold M is a separable space; (3) Manifold M is a regular space and normal space; (4) Manifold M is quantifiable.
[0020] Compactness theorem: Let X be a Hausdorff space, if any open cover on X has a finite...
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