apoc.path.spanningTree

Procedure APOC Core

apoc.path.spanningTree(startNode <id>|Node|list, {maxLevel,relationshipFilter,labelFilter,bfs:true, filterStartNode:false, limit:-1, optional:false, endNodes:[], terminatorNodes:[], sequence, beginSequenceAtStart:true}) yield path - expand a spanning tree reachable from start node following relationships to max-level adhering to the label filters

Signature

apoc.path.spanningTree(start :: ANY?, config :: MAP?) :: (path :: PATH?)

Input parameters

Name	Type	Default
start	ANY?	null
config	MAP?	null

Name

Type

Default

start

ANY?

null

config

MAP?

null

Config parameters

The procedures support the following config parameters:

Table 1. Config parameters
name	type	default	description
minLevel	Long	-1	the minimum number of hops in the traversal. Must be 0 or 1 if specified
maxLevel	Long	-1	the maximum number of hops in the traversal
relationshipFilter	String	null	the relationship types and directions to traverse. See Relationship Filters.
labelFilter	String	null	the node labels to traverse. See Label Filters.
beginSequenceAtStart	Boolean	true	starts matching sequences of node labels and/or relationship types (defined in `relationshipFilter`, `labelFilter`, or `sequences`) one node away from the start node.
bfs	Boolean	true	use Breadth First Search when traversing. Uses Depth First Search if set to `false`
filterStartNode	Boolean	false	whether the `labelFilter` and `sequence` apply to the start node of the expansion.
limit	Long	-1	limit the number of paths returned. When using `bfs:true`, this has the effect of returning paths to the `n` nearest nodes with labels in the termination or end node filter, where `n` is the limit given. If set to `true`, a `null` value is yielded whenever the expansion would normally eliminate rows due to no results.
endNodes	List<Node>	null	only these nodes can end returned paths, and expansion will continue past these nodes, if possible.
terminatorNodes	List<Node>	null	Only these nodes can end returned paths, and expansion won’t continue past these nodes.
whiteListNodes	List<Node>	null	Only these nodes are allowed in the expansion (though endNodes and terminatorNodes will also be allowed, if present).
blackListNodes	List<Node>	null	None of the paths returned will include these nodes.

It also has the following fixed parameter:

Table 2. Config parameters
name	type	default	description
uniqueness	String	NODE_GLOBAL	the strategy to use when expanding relationships in a traversal. `NODE_GLOBAL` means that a node cannot be traversed more than once. This is what the legacy traversal framework does.

Relationship Filters

The syntax for relationship filters is described below:

Syntax: [<]RELATIONSHIP_TYPE1[>]|[<]RELATIONSHIP_TYPE2[>]|…

input type direction

input	type	direction
`LIKES>`	`LIKES`	OUTGOING
`<FOLLOWS`	`FOLLOWS`	INCOMING
`KNOWS`	`KNOWS`	BOTH
`>`	`any type`	OUTGOING
`<`	`any type`	INCOMING

LIKES>

LIKES

OUTGOING

<FOLLOWS

FOLLOWS

INCOMING

KNOWS

BOTH

>

any type

OUTGOING

<

any type

INCOMING

Label Filters

The syntax for label filters is described below:

Syntax: [+-/>]LABEL1|LABEL2|*|…

input result

input	result
`-Foe`	blacklist filter - No node in the path will have a label in the blacklist.
`+Friend`	whitelist filter - All nodes in the path must have a label in the whitelist (exempting termination and end nodes, if using those filters). If no whitelist operator is present, all labels are considered whitelisted.
`/Friend`	termination filter - Only return paths up to a node of the given labels, and stop further expansion beyond it. Termination nodes do not have to respect the whitelist. Termination filtering takes precedence over end node filtering.
`>Friend`	end node filter - Only return paths up to a node of the given labels, but continue expansion to match on end nodes beyond it. End nodes do not have to respect the whitelist to be returned, but expansion beyond them is only allowed if the node has a label in the whitelist.

-Foe

blacklist filter - No node in the path will have a label in the blacklist.

+Friend

whitelist filter - All nodes in the path must have a label in the whitelist (exempting termination and end nodes, if using those filters). If no whitelist operator is present, all labels are considered whitelisted.

/Friend

termination filter - Only return paths up to a node of the given labels, and stop further expansion beyond it. Termination nodes do not have to respect the whitelist. Termination filtering takes precedence over end node filtering.

>Friend

end node filter - Only return paths up to a node of the given labels, but continue expansion to match on end nodes beyond it. End nodes do not have to respect the whitelist to be returned, but expansion beyond them is only allowed if the node has a label in the whitelist.

Label filter operator precedence and behavior

Multiple label filter operators are allowed at the same time. Take the following example:

labelFilter:'+Person|Movie|-SciFi|>Western|/Romance'

If we work through this label filter, we can see that:

:Person and :Movie labels are whitelisted
:SciFi is blacklisted
:Western is an end node label
:Romance is as a termination label.

The precedence of operator evaluation isn’t dependent upon their location in the labelFilter but is fixed:

Blacklist filter -, termination filter /, end node filter >, whitelist filter +.

This means:

No blacklisted label - will ever be present in the nodes of paths returned, even if the same label (or another label of a node with a blacklisted label) is included in another filter list.
If the termination filter / or end node filter > is used, then only paths up to nodes with those labels will be returned as results. These end nodes are exempt from the whitelist filter.
If a node is a termination node /, no further expansion beyond the node will occur.
The whitelist only applies to nodes up to but not including end nodes from the termination or end node filters. If no end node or termination node operators are present, then the whitelist applies to all nodes of the path.
If no whitelist operators are present in the labelFilter, this is treated as if all labels are whitelisted.

Output parameters

Name	Type
path	PATH?

Name

Type

path

PATH?

Usage Examples

The examples in this section are based on the following sample graph:

MERGE (mark:Person:DevRel {name: "Mark"})
MERGE (lju:Person:DevRel {name: "Lju"})
MERGE (praveena:Person:Engineering {name: "Praveena"})
MERGE (zhen:Person:Engineering {name: "Zhen"})
MERGE (martin:Person:Engineering {name: "Martin"})
MERGE (joe:Person:Field {name: "Joe"})
MERGE (stefan:Person:Field {name: "Stefan"})
MERGE (alicia:Person:Product {name: "Alicia"})
MERGE (jake:Person:Product {name: "Jake"})
MERGE (john:Person:Product {name: "John"})
MERGE (jonny:Person:Sales {name: "Jonny"})
MERGE (anthony:Person:Sales {name: "Anthony"})
MERGE (rik:Person:Sales {name: "Rik"})

MERGE (zhen)-[:KNOWS]-(stefan)
MERGE (zhen)-[:KNOWS]-(lju)
MERGE (zhen)-[:KNOWS]-(praveena)
MERGE (zhen)-[:KNOWS]-(martin)
MERGE (mark)-[:KNOWS]-(jake)
MERGE (alicia)-[:KNOWS]-(jake)
MERGE (jonny)-[:KNOWS]-(anthony)
MERGE (john)-[:KNOWS]-(rik)

MERGE (alicia)-[:FOLLOWS]->(joe)
MERGE (joe)-[:FOLLOWS]->(mark)
MERGE (joe)-[:FOLLOWS]->(praveena)
MERGE (joe)-[:FOLLOWS]->(zhen)
MERGE (mark)-[:FOLLOWS]->(stefan)
MERGE (stefan)-[:FOLLOWS]->(joe)
MERGE (praveena)-[:FOLLOWS]->(joe)
MERGE (lju)-[:FOLLOWS]->(jake)
MERGE (alicia)-[:FOLLOWS]->(jonny)
MERGE (zhen)-[:FOLLOWS]->(john)
MERGE (anthony)-[:FOLLOWS]->(joe)

The Neo4j Browser visualization below shows the sample graph:

Figure 1. Sample Graph

The KNOWS relationship type is considered to be bidirectional, where if Zhen knows Stefan, we can imply that Stefan knows Zhen. When using the KNOWS relationship we will ignore the direction.

The FOLLOWS relationship has a direction, so we will specify a direction when we use it.

Relationship Type and Node Label filters

Let’s start by expanding paths from the Praveena node. We only want to consider the KNOWS relationship type, so we’ll specify that as the relationshipFilter parameter.

The following returns the spanning tree starting from Praveena and traversing the KNOWS relationship type for 1 to 2 hops

MATCH (p:Person {name: "Praveena"})
CALL apoc.path.spanningTree(p, {
	relationshipFilter: "KNOWS",
    minLevel: 1,
    maxLevel: 2
})
YIELD path
RETURN path;

We can see a Neo4j Browser visualization of the spanning tree in Spanning tree from Praveena.

Figure 2. Spanning tree from Praveena

The spanning tree contains 4 nodes apart from Praveena. Praveena only has a direct KNOWS relationship to Zhen, but Zhen has KNOWS relationships to 3 other people, which means they’re also included in the spanning tree.

We can also provide a node label filter to restrict the nodes that are returned. If we want to only return paths where every node has the Engineering label, we’ll provide the value +Engineering to the labelFilter parameter.

The following returns the spanning tree starting from Praveena and traversing the KNOWS relationship type for 1 to 2 hops, only includin Engineering nodes

MATCH (p:Person {name: "Praveena"})
CALL apoc.path.spanningTree(p, {
	relationshipFilter: "KNOWS",
	labelFilter: "+Engineering",
    minLevel: 1,
    maxLevel: 2
})
YIELD path
RETURN path;

We can see a Neo4j Browser visualization of the spanning tree in Spanning tree from Praveena to engineering nodes.

Figure 3. Spanning tree from Praveena to engineering nodes

We lose Lju and Stefan from the spanning tree because neither of those nodes had the Engineering label.

We can specify multiple relationship types. The following query starts from the Alicia node, and then expands the FOLLOWS and KNOWS relationships:

The following returns the spanning tree starting from Alicia and traversing the FOLLOWS or KNOWS relationship type for 1 to 3 hops

MATCH (p:Person {name: "Alicia"})
CALL apoc.path.spanningTree(p, {
    relationshipFilter: "FOLLOWS>|KNOWS",
    minLevel: 1,
    maxLevel: 3
})
YIELD path
RETURN path;

We can see a Neo4j Browser visualization of the spanning tree in Spanning tree from Alicia.

Figure 4. Spanning tree from Alicia

This query returns paths to 11 of the 12 people in the graph, which indicates that Alicia is very well connected.

We can also specify traversal termination criteria using label filters. If we wanted to terminate a traversal as soon as the traversal encounters a node containing the Engineering label, we can use the /Engineering node filter.

The following returns the spanning tree starting from Alicia and traversing the FOLLOWS or KNOWS relationship type for 1 to 3 hops, terminating as soon as a node with the Engineering label is reached

MATCH (p:Person {name: "Alicia"})
CALL apoc.path.spanningTree(p, {
    relationshipFilter: "FOLLOWS>|KNOWS",
    labelFilter: "/Engineering",
    minLevel: 1,
    maxLevel: 3
})
YIELD path
RETURN path;

We can see a Neo4j Browser visualization of the spanning tree in Spanning tree from Alicia terminating at Engineering nodes.

Figure 5. Spanning tree from Alicia terminating at Engineering nodes

Our spanning tree has been reduced to only 3 other nodes apart from Alicia. But this query doesn’t capture the complete spanning tree from Alicia containing nodes with the Engineering label. We can use the >Engineering node filter to define a traversal that:

only returns paths that terminate at nodes with the Engineering label
continues expansion to end nodes after that, looking for more paths that end with the Engineering label

The following returns the spanning tree starting from Alicia and traversing the FOLLOWS or KNOWS relationship type for 1 to 3 hops, where paths end with a node with the Engineering label

MATCH (p:Person {name: "Alicia"})
CALL apoc.path.spanningTree(p, {
    relationshipFilter: "FOLLOWS>|KNOWS",
    labelFilter: ">Engineering",
    minLevel: 1,
    maxLevel: 3
})
YIELD path
RETURN path;

We can see a Neo4j Browser visualization of the spanning tree in Spanning tree from Alicia to Engineering nodes.

Figure 6. Spanning tree from Alicia to Engineering nodes

The spanning tree now also reaches Martin, via a relationship from Zhen.

Terminator Nodes and End Nodes

As well as specifying terminator and end labels for traversals, we can also specify terminator and end nodes.

Let’s build on the previous query that found people that Alicia KNOWS or FOLLOWS. We want the returned spanning tree to stop as soon as the Mark, Joe, Zhen, or Praveena nodes are reached. We can do that by passing those nodes to the terminatorNodes parameter.

The following returns the spanning tree of people that Alicia FOLLOWS or KNOWS from 1 to 3 hops, terminating as soon as Mark, Joe, Zhen, or Rik nodes are reached

MATCH (p:Person {name: "Alicia"})
MATCH (terminator:Person)
WHERE terminator.name IN ["Mark", "Joe", "Zhen", "Rik"]
WITH p, collect(terminator) AS terminatorNodes
CALL apoc.path.spanningTree(p, {
    relationshipFilter: "FOLLOWS>|KNOWS",
    minLevel: 1,
    maxLevel: 3,
    terminatorNodes: terminatorNodes
})
YIELD path
RETURN path;

We can see a Neo4j Browser visualization of the spanning tree in Spanning tree from Alicia, terminating at Mark, Joe, Zhen, or Rik.

Figure 7. Spanning tree from Alicia, terminating at Mark, Joe, Zhen, or Rik

Mark and Joe are included in the spanning tree, but Rik and Zhen can’t be reached. This could be because there is no path to Zhen and Rik that doesn’t go through Mark and Joe, or it could mean that there’s no path based on the other traversal criteria.

We can find out whether Mark, Joe, Zhen, or Rik are reachable by passing these nodes to the endNodes parameter.

The following returns the spanning tree of people that Alicia FOLLOWS or KNOWS from 1 to 3 hops, ending as soon as Mark, Joe, Zhen, or Rik nodes are reached

MATCH (p:Person {name: "Alicia"})
MATCH (end:Person)
WHERE end.name IN ["Mark", "Joe", "Zhen", "Rik"]
WITH p, collect(end) AS endNodes
CALL apoc.path.spanningTree(p, {
    relationshipFilter: "FOLLOWS>|KNOWS",
    minLevel: 1,
    maxLevel: 3,
    endNodes: endNodes
})
YIELD path
RETURN path;

We can see a Neo4j Browser visualization of the returned spanning tree in Spanning tree from Alicia, ending at Mark, Joe, Zhen, or Rik.

Figure 8. Spanning tree from Alicia, ending at Mark, Joe, Zhen, or Rik

Our spanning tree now includes Joe, Mark, and Zhen, but Rik is still unreachable.

Whitelist Nodes and Blacklist Nodes

Whitelist and blacklist nodes can also be specified.

Let’s build on the previous query that found people that Alicia KNOWS or FOLLOWS. We want any returned paths to only include the nodes Mark, Joe, Zhen, and Praveena, which we can do by passing these nodes to the parameter whitelistNodes.

The following returns the spanning tree reachable by the FOLLOWS or KNOWS relationship types at 1 to 3 hops from Alicia, where the paths to those nodes must only include Mark, Jonny, or Zhen

MATCH (p:Person {name: "Alicia"})
MATCH (whitelist:Person)
WHERE whitelist.name IN ["Jonny", "Mark", "Zhen"]
WITH p, collect(whitelist) AS whitelistNodes
CALL apoc.path.spanningTree(p, {
    relationshipFilter: "FOLLOWS>|KNOWS",
    minLevel: 1,
    maxLevel: 3,
    whitelistNodes: whitelistNodes
})
YIELD path
RETURN path;

We can see a Neo4j Browser visualization of the returned spanning tree in Spanning Tree from Alicia where paths to nodes include Mark, Jonny, or Zhen.

Figure 9. Spanning Tree from Alicia where paths to nodes include Mark, Jonny, or Zhen

Only Jonny can be reached. We can therefore infer that Mark and Zhen are only reachable via another node that wasn’t include in the whitelist.

A blacklist is used to exclude nodes from the paths that lead to reachable nodes. If we want to return nodes that are reachable without going through Joe, we can do this by passing the Joe node to the blacklistNodes parameter.

The following returns the spanning tree reachable by the FOLLOWS or KNOWS relationship types at 1 to 3 hops from Alicia, where the paths to those nodes do not go through Joe

MATCH (p:Person {name: "Alicia"})
MATCH (joe:Person {name: "Joe"})
CALL apoc.path.spanningTree(p, {
    relationshipFilter: "FOLLOWS>|KNOWS",
    minLevel: 1,
    maxLevel: 3,
    blacklistNodes: [joe]
})
YIELD path
RETURN path;

We can see a Neo4j Browser visualization of the returned spanning tree in Spanning tree from Alicia where paths to nodes can’t go via Joe.

apoc.path.spanningTree.alicia blacklist joe

Figure 10. Spanning tree from Alicia where paths to nodes can’t go via Joe

Sequences of relationship types

Sequences of relationship types can be specified by comma separating the values passed to relationshipFilter.

For example, if we want to start from the Joe node and traverse a sequence of the FOLLOWS relationship in the outgoing direction and the KNOWS relationship in either direction, we can specify the relationship filter FOLLOWS>,KNOWS.

The following returns the reachable nodes by following the FOLLOWS and KNOWS relationship types alternately from Joe

MATCH (p:Person {name: "Joe"})
CALL apoc.path.spanningTree(p, {
	relationshipFilter: "FOLLOWS>,KNOWS",
	beginSequenceAtStart: true,
	minLevel: 1,
	maxLevel: 4
})
YIELD path
RETURN path;

We can see a Neo4j Browser visualization of the returned spanning tree in Spanning tree from Joe via alternate FOLLOWS and KNOWS relationship types.

Figure 11. Spanning tree from Joe via alternate FOLLOWS and KNOWS relationship types

More documentation of apoc.path.spanningTree