Newly Discovered ideas regarding Brokers & Structural Holes

[BradKML]

The concept of brokerage is important in understanding Roles and Community sub-structures. Dynamic change of manufacturing and service industries network in mobile ecosystems: The case of Korea The five types of Brokers have different utilities (from most concentrated to least concentrated):

1. Coordinator (Message passing between people within Group A)
2. Gatekeeper (Person from Group A talks to the guard of B in order to get information to insider B)
3. Representative (Insider A uses in-group messenger to talk to people in Group B)
4. Consultant (Group A asks Group B for information, and Group B answers)
5. Liason (Group A talks to Group C through Group B)

This also references Donors (low input, high output) and Absorbers (diverse input, consolidated output)

Another idea to note is "structural holes", which is a generalization of Brokers, with Triangular relationships Extended structures of mediation: Re-examining brokerage in dynamic networks Brokerage as a Process: Decoupling Third Party Action from Social Network Structure

• Conduit / Transfer (traditional brokerages, see above)
• Tertius Gaudens / Coordination (Centralized Power)
  • A => A & A (In-group delegation of power)
  • A => A & B (recruitment)
  • A => B & B (Independent Mediation)
  • A => B & C (independent hierarchy)
  • (the arrows can be inverted for response effect)
• Tertius Iungens / Matchmaking (Third Party Ties)
  • A => (A <=> A) (In-group hiveminds)
  • A => (A <=> B) (befriending)
  • A => (B <=> C) (independent synergy)
  • (there can be complex forms through inversion or partiality of arrows)
• Cyclic (not mentioned in the paper, as it is somewhat problematic)

For Statistics How Do Brokers Broker? Tertius Gaudens, Tertius Iungens, and the Temporality of Structural Holes

[BradKML]

Some Triadic Graphlets: GoT-WAVE: Temporal network alignment using graphlet-orbit transitions Efficiently counting complex multilayer temporal motifs in large-scale networks

[GiulioRossetti]

Brokerage implementation: https://github.com/reyagroup/networkx_additional_algorithms

[GiulioRossetti]

Interesting but not inherent to the package goals.