Structural cohesion Totally Explained

Everything about Structural Cohesion totally explained

Structural cohesion is the sociological and graph theory conception and measurement of cohesion for maximal social group or graphical boundaries where related elements can't be disconnected except by removal of a certain minimal number of other nodes. The solution to the boundary problem for structural cohesion is found by the vertex-cut version of Menger's theorem. The boundaries of structural endogamy are a special case of structural cohesion. It is also useful to know that k-cohesive graphs (or k-components) are always a subgraph of a k-core, although a k-core isn't always k-cohesive. A k-core is simply a subgraph in which all nodes have at least k neighbors but it need not even be connected.

Examples

Some illustrative examples are presented in the gallery below:
Image:NetworkTopology-Ring.png|The 6-node ring in the graph has connectivity-2 or a level 2 of structural cohesion because the removal of two nodes is needed to disconnect it.
Image:6n-graf.svg|The 6-node component (1-connected) has an embedded 2-component, nodes 1-5
Image:NetworkTopology-FullyConnected.png|A 6-node clique is a 5-component, structural cohesion 5 Further Information

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