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Edge

As explained in AI-Powered Search

An edge is a graph element representing a relationship between two nodes.

An edge is a graph element representing a relationship between two nodes. Nodes represent entities such as terms, people, places, things, or concepts; edges connect those entities. section 5.1

Edges make knowledge graphs traversable. Following connected edges can combine known relationships to infer additional facts, such as connecting authors, a paper, a conference, and its location and date. section 5.1

In a semantic knowledge graph, an edge can be materialized from search results. Two nodes are represented as document sets, and their edge is the set of documents containing both nodes. A relationship phrase can define a more specific edge type. section 5.4.7

Traversing a relationship edge

Starting with "jean grey" and the relationship phrase "in love with", an SKG traversal combines both contexts and returns related terms such as "summers", "cyclops", and "wolverine". This models traversal through an "in love with" edge without requiring a manually stored graph edge. section 5.4.7

Figure 5.1 A graph structure. Graphs are composed of nodes (also known as “vertices”) that represent entities and of edges that represent a node’s relationship with another node. Graphs provide a way to model knowledge and infer new insights by traversing (or “following”) the edges between nodes.
figure

Use the graph figure to inspect how nodes and edges model entities, relationships, and inferable connections. section 5.1

How AI-Powered Search covers it

How deep it goes
Defines edges, explains traversal and document-set construction, and demonstrates typed relationships without detailing graph-storage internals.
Examples
Uses an author-paper-conference graph and a Jean Grey traversal through an "in love with" relationship.
What it assumes
Assumes basic knowledge of nodes, queries, and document sets while defining edges and graph traversal directly.
What you can do after
Apply it via SKG traversal to model or discover relationships from document-set intersections and relationship queries.
How it connects
Connects nodes, knowledge graphs, semantic knowledge graphs, queries, document sets, relationship types, and graph traversal.

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This explainer was generated by Manning's knowledge graph from the text of AI-Powered Search. The section links point to the parts of the book it draws on.