Total Neighbors

This feature is not available in Aura Graph Analytics.

Total Neighbors computes the closeness of nodes, based on the number of unique neighbors that they have. It is based on the idea that the more connected a node is, the more likely it is to receive new links.

History and explanation

Total Neighbors is computed using the following formula:

where N(x) is the set of nodes adjacent to x, and N(y) is the set of nodes adjacent to y.

A value of 0 indicates that two nodes are not close, while higher values indicate nodes are closer.

The library contains a function to calculate the closeness between two nodes.

Syntax

The following will run the algorithm and return the result:

RETURN gds.linkprediction.totalNeighbors(node1:Node, node2:Node, {
    relationshipQuery: null,
    direction: "BOTH"
})

Table 1. Parameters
Name	Type	Default	Optional	Description
`node1`	Node	null	no	A node
`node2`	Node	null	no	Another node
`relationshipQuery`	String	null	yes	The relationship type used to compute similarity between `node1` and `node2`
`direction`	String	BOTH	yes	The relationship direction used to compute similarity between `node1` and `node2`. Possible values are `OUTGOING`, `INCOMING` and `BOTH`.

Total Neighbors algorithm sample

The following will create a sample graph:

CREATE (zhen:Person {name: 'Zhen'}),
       (praveena:Person {name: 'Praveena'}),
       (michael:Person {name: 'Michael'}),
       (arya:Person {name: 'Arya'}),
       (karin:Person {name: 'Karin'}),

       (zhen)-[:FRIENDS]->(arya),
       (zhen)-[:FRIENDS]->(praveena),
       (praveena)-[:WORKS_WITH]->(karin),
       (praveena)-[:FRIENDS]->(michael),
       (michael)-[:WORKS_WITH]->(karin),
       (arya)-[:FRIENDS]->(karin)

The following will return the Total Neighbors score for Michael and Karin:

MATCH (p1:Person {name: 'Michael'})
MATCH (p2:Person {name: 'Karin'})
RETURN gds.linkprediction.totalNeighbors(p1, p2) AS score

Table 2. Results
`score`
4.0

We can also compute the score of a pair of nodes, based on a specific relationship type.

The following will return the Total Neighbors score for Michael and Karin based only on the FRIENDS relationship:

MATCH (p1:Person {name: 'Michael'})
MATCH (p2:Person {name: 'Karin'})
RETURN gds.linkprediction.totalNeighbors(p1, p2, {relationshipQuery: "FRIENDS"}) AS score

Table 3. Results
`score`
2.0