Social Network Analysis Overview
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Questions and Answers

Two actors are connected if they played in the same ______.

movie

In a protein network, two proteins are connected if an experimental ______ existed.

evidence

The nodes and edges are the building blocks of a ______.

graph

In a network, the links can be either directed or ______.

<p>undirected</p> Signup and view all the answers

Social networks composed of symmetric ties are represented using ______ graphs.

<p>undirected</p> Signup and view all the answers

Networks with asymmetric ties are represented using a ______ graph.

<p>directed</p> Signup and view all the answers

The choice of network ______ can affect our understanding of its structure.

<p>representation</p> Signup and view all the answers

The way you assign links will determine the nature of the ______ you can study.

<p>question</p> Signup and view all the answers

You are likely enrolled in a social network’s ______ if you are reading this.

<p>class</p> Signup and view all the answers

The term '______' implies a relationship type, distinct from the term 'friend.'

<p>classmate</p> Signup and view all the answers

It is important to define a ______ to effectively map social relationships.

<p>relationship</p> Signup and view all the answers

Networks are often seen as a collection of objects connected by ______.

<p>links</p> Signup and view all the answers

A ______ is a mathematical representation of a network.

<p>graph</p> Signup and view all the answers

The World Wide Web (WWW) is a network of web ______ linked by URLs.

<p>documents</p> Signup and view all the answers

Metabolic networks in biology reflect a network of chemical ______ that take place in a cell.

<p>reactions</p> Signup and view all the answers

A social graph, as used by platforms like Facebook, visually represents social ______ among users.

<p>connections</p> Signup and view all the answers

In a symmetric relationship between two nodes A and B, there exists a single ______ linking them.

<p>edge</p> Signup and view all the answers

A network is called ______ if all of its links are directed.

<p>directed</p> Signup and view all the answers

A directed graph G consists of a set of vertices V and a set E of ______ that are ordered pairs of elements in V.

<p>edges</p> Signup and view all the answers

An edge e is a ______ if it connects a vertex to itself.

<p>loop</p> Signup and view all the answers

In a directed graph, for every edge, there is a source node and a ______ node.

<p>destination</p> Signup and view all the answers

In the advice network example, C seeks advice from E, indicating a directed edge from C to ______.

<p>E</p> Signup and view all the answers

The case of 'A likes B' shows that A is the source node while B is the ______ node.

<p>destination</p> Signup and view all the answers

The links of a network can be either ______ or weighted.

<p>unweighted</p> Signup and view all the answers

Sociologists began using mathematical techniques from graph theory in the ______ to study relationships.

<p>1950s</p> Signup and view all the answers

Social networks composed of symmetric, reciprocal ties are called ______ networks.

<p>undirected</p> Signup and view all the answers

The Zachary karate club network study was one of the first data collection projects in the history of ______.

<p>SNA</p> Signup and view all the answers

Social network analysis involves understanding how networks ______ and what they do to people.

<p>work</p> Signup and view all the answers

A network is undirected if all of its links are ______.

<p>undirected</p> Signup and view all the answers

Examples of systems with undirected links include ______ on Facebook.

<p>Friendship</p> Signup and view all the answers

Two branches of mathematics utilized in social network analysis are graph theory and ______.

<p>matrix algebra</p> Signup and view all the answers

Transmission lines allow electric current to flow in both ______.

<p>directions</p> Signup and view all the answers

Social network analysis connects concepts such as roles, ______, and prestige to empirical evidence.

<p>prominence</p> Signup and view all the answers

A simple graph consists of a nonempty set of vertices and a set of unordered pairs called ______.

<p>edges</p> Signup and view all the answers

Qualitative observational strategies include interviews, while statistical strategies are based on social ______.

<p>surveys</p> Signup and view all the answers

Graph representation is crucial for transforming relationships into ______.

<p>graphs</p> Signup and view all the answers

An edge is a loop if it consists of the same ______ in the pair.

<p>vertex</p> Signup and view all the answers

One broad aspect of social network analysis is Network ______.

<p>Theory</p> Signup and view all the answers

Examples of systems with directed links include following on ______.

<p>Twitter</p> Signup and view all the answers

In an undirected graph, it would be nonsensical for person A to claim they spend time with person B and for B to say they ______ spend time with A.

<p>do not</p> Signup and view all the answers

Social Network Analysis (SNA) uses ______ techniques to study social structure.

<p>graph-theoretic</p> Signup and view all the answers

Mathematics allows us to give a precise representation of fuzzy social science concepts like 'popularity' or 'social ______'.

<p>position</p> Signup and view all the answers

Analyzing a social network starts with defining a ______.

<p>relationship</p> Signup and view all the answers

Bounding refers to drawing ______ about what will or will not be included in the study.

<p>boundaries</p> Signup and view all the answers

A relationship is a connection between at least two social ______.

<p>actors</p> Signup and view all the answers

Networks are not given to us; they have to be ______.

<p>constructed</p> Signup and view all the answers

In SNA, ______ provides a framework for understanding social relationships quantitatively.

<p>mathematics</p> Signup and view all the answers

Social Network Analysis helps predict why some people, organizations, or even ______ are successful and others are not.

<p>countries</p> Signup and view all the answers

Flashcards

Social Network Analysis (SNA)

The study of relationships using mathematical techniques like graph theory and matrix algebra.

Network Graph

A visual representation of relationships between entities, where entities are nodes connected by lines.

Network Theory

The study of the structure, function, and evolution of networks.

Graph Representation

A set of nodes (entities) connected by edges (relationships) representing a network.

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Network

A collection of nodes and edges where nodes represent entities and edges represent connections between them.

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Different Types of Networks

Different types of networks categorized based on their structure, relationships, and purpose.

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Traditional Sociological Methods

Using interviews, surveys, or other observation techniques to analyze social relationships.

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Mathematical Techniques in Social Network Analysis

The use of mathematical models and techniques from graph theory and matrix algebra to study social relationships.

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Network Density

The extent to which actors in a network are connected, providing insights into the overall structure and level of interaction.

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Quantitative Network Analysis

A branch of network analysis focused on quantifying and measuring elements of networks using mathematical and statistical techniques.

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Degree Centrality

The degree to which a social actor is directly connected to others in a network, indicating their influence and visibility.

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Structural Holes

The structural holes, or gaps, in a network indicate opportunities for innovation and influence.

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Strength of Ties

Refers to the strength or quality of connections between actors in a network.

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Constructing a Network

The process of formally constructing a network by identifying actors and mapping their relationships. Networks are not given to us.

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Defining a Relationship

The social relationship you are analyzing directly influences the conclusions you can draw from the network.

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Bounding the Context

Establishing boundaries to determine the scope of the network you are analyzing.

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Undirected Network

A network where connections between entities are bidirectional, meaning the relationship applies in both directions.

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Directed Network

A network where connections are one-way, meaning the relationship only applies in one direction.

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Reciprocal Tie

A link in a network where the relationship is reciprocal, meaning it exists in both directions.

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Non-Reciprocal Tie

A link in a network where the relationship is not reciprocal, meaning it exists in only one direction.

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Network Map

A visual representation of a network where nodes (entities) are connected by lines (links).

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Undirected Network (Definition)

A network where all links are undirected (reciprocal).

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Graph

A visual representation of a network using lines (edges) to connect dots (vertices).

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Directed Network (Definition)

A network where all links are directed (non-reciprocal).

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What is a network?

A network is a collection of interconnected entities, called nodes, connected by links, called edges.

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What are nodes?

Nodes are entities in a network. They are connected to form the structure of the network.

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What are edges?

Edges are the links connecting nodes. They represent the relationships or interactions between nodes.

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What is an undirected network?

Undirected networks have edges that represent symmetrical relationships, meaning the connection goes both ways.

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What is a directed network?

Directed networks represent asymmetrical relationships, where the connection goes only in one direction.

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Why is network representation important?

The choice of network representation depends on the type of relationships and the specific questions you want to study.

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How does link assignment impact the network?

The way you assign links determines the structure of the network and affects the questions you can analyze.

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What are the applications of network analysis?

Network analysis can be applied to various fields, including social networks, biology, and computer science.

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Social Relationship

A connection between two or more people, based on shared interests, activities, or social roles.

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Relationship Type

A specific type of social relationship, like "classmate" or "friend." It reflects the nature of the connection and the social meaning attached to it.

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Social Graph

A visualization of social connections, where individuals are represented as nodes and their relationships as links.

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Web Graph

A network of interconnected entities, like websites on the World Wide Web, where links represent specific relationships like hyperlinks.

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Social Network

A network representing the interactions and relationships within a specific context, like a social media platform.

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Symmetric Edge

In a network, an edge represents a connection between two nodes, indicating a relationship between them. If the relationship is symmetric, the edge is bidirectional; it doesn't matter which node we consider as the source or destination of the edge.

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Directed Graph: Mathematical Definition

The mathematical definition of a directed graph uses sets to represent its components. It consists of a set of vertices (nodes), and a set of edges that are defined as ordered pairs of vertices, indicating the direction of the relationship.

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Loop

A loop is a special type of edge in a directed graph where the source node and destination node are the same. This represents a self-relationship or connection within a node.

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Simple Graph

A simple (undirected) graph is similar to a directed graph, but it doesn't have a specified direction for its edges. This means the relationship represented by the edge is bidirectional.

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Advice Network

An advice network is a type of directed network where the edges represent the flow of advice between individuals. For example, if person C seeks advice from person E, but E doesn't seek advice from C, then the edge would be directed from C to E.

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Source and Destination Node

In a directed graph, each edge has a starting point (source node) and an ending point (destination node). This indicates the direction of the relationship.

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Weighted and Unweighted Links

Network links can have different weights assigned to them. Unweighted links represent connections without any specific strength or value associated with them, while weighted links have a numeric value associated with the strength or importance of the link.

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Study Notes

Network Representation

  • Social network analysis (SNA) has two main aspects: network theory and network measurement
  • Network theory is about understanding how networks function and impact individuals. It provides general statements about how people behave within networks and how networks themselves operate.
  • Network measurement focuses on quantifying network properties, using mathematics to represent social connections. It links social network concepts to different mathematical methods and uses matrices for quantitative representation.

From Relationships to Graphs

  • Sociologists traditionally studied relationships through observation (interviews) and statistical analysis.
  • In the 1950s, sociologists started using mathematical methods like graph theory and matrix algebra to create models of social relationships.
  • This allowed them to measure concepts like roles, influence, and prestige.

In This Lecture

  • Topics covered include:
    • From relationships to graphs, SNA taxonomy
    • Ways to represent networks
    • Graph representation
    • Defining a network
    • Different types of networks

Defining a Relationship

  • Establishing a relationship type is crucial in network analysis as different relationships lead to differing conclusions.
  • Relationships can vary, from those between individuals you know (friends, colleagues) to those you may not know personally.
  • Clear definition is required to determine the scope of the network analysis.

How to Graph a Network

  • Defining the relationship is the first step in outlining a network
  • Establishing the context for a network and defining any boundaries, clarifying what will and will not be studied is the next step.

Network or Graph?

  • Networks often represent real-world systems such as the web, social networks, and metabolic networks.
  • A graph is a mathematical representation of the network.
  • Key graph terminology includes: network, node, link, graph, vertex, and edge.

Graph Representation

  •  A network is a collection of parts (nodes or vertices) connected by interactions (links or edges).
  • The components of a network include the objects (nodes), the interactions between them (links), and the overall network itself (graph).
  • Graph representation is a fundamental concept for understanding complex systems by representing relationships using mathematical methods.

Determining Graph Structure

  • The nodes and edges define the structure of a graph. 
  • The choice of the representation of a network will determine what questions you can investigate.

Types of Networks

  • Networks can be directed or undirected. 

  • Undirected networks represent symmetrical relationships.

  • Directed networks represent asymmetrical relationships.

    • Examples of undirected links include collaborations, friendships, and transmission lines.
    • Examples of directed links include phone calls, Twitter followings, and URLs.
  • Networks can also be unweighted or weighted:

    • Unweighted networks focus on the existence of a relationship.
    • Weighted networks consider the intensity or frequency of a relationship to assign a weight.
  • Networks can have self-loops if the same node interacts with itself

  • Networks can be multigraph if multiple links can exist between the same nodes.

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Description

Explore the foundational concepts of Social Network Analysis (SNA), focusing on network theory and measurement. Learn how sociologists transitioned from qualitative methods to mathematical representations of social relationships using graph theory and matrices.

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