list and explication of some formal theoretical properties in networks: 1. centrality: betweenness, closeness, degree.

2. position: structural, regular and other kinds of equivalence.

3. strength of ties: strong/weak; uniplex/multiplex; weighted/discrete.

4. hierarchical embedding: implicational structures (entailment), lattices/semi-lattices, trees.

5. duality: entity/attribute (lattices); actors/positions (blockmodeling); holder/possession or property flow duality (pgraphs). See Concept Lattices or Galois lattices (GL) GL 1 GL 2

6. cohesion: circuit blocks, structural endogamy; groups; cliques.

7. division: structural holes; segmentation; partition; bipartition.

Network Theories of Social Structure

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