Neo4j Cypher find entity by exact collection of associated nodes(ids) - neo4j

Question

In my Neo4j/SDN4 project I have a following node entity:
#NodeEntity
public class Nomination extends Commentable {
private final static String CONTAINS = "CONTAINS";
private final static String DEFINED_BY = "DEFINED_BY";
private String name;
#Relationship(type = CONTAINS, direction = Relationship.OUTGOING)
private Set<Criterion> criteria = new HashSet<>();
...
}
I need to implement a Cypher query that will try to find Nomination by exact collection of associated criteria (by criterion ids).
Right now I have a following query:
MATCH (n:Nomination)-[:CONTAINS]->(c:Criterion) WHERE id(n) = {nominationId} AND id(c) IN {criterionIds} RETURN n
but it is not enough because of Nomination can contain less criteria that was provided in {criterionIds} but I need to check exact match(order of criteria doesn't matter)
How to reimplement this query in order to do this ?

Answer 1

Use COLLECT and then ALL function.
https://neo4j.com/docs/developer-manual/current/cypher/functions/predicates/#functions-all
MATCH (n:Nomination)-[:CONTAINS]->(c:Criterion)
WHERE id(n) = {nominationId}
WITH n,COLLECT(id(c)) AS foundCritIds
WHERE ALL (id IN {criterionIds} WHERE id in foundCritIds)
RETURN n

Answer 2

Here's an alternate approach, you may want to PROFILE each to see which works best for you:
MATCH (c:Criterion)
WHERE id(c) in {criterionIds}
WITH COLLECT(c) as criterion
WITH criterion, head(criterion) as firstC
MATCH (firstC)<-[:CONTAINS]-(n:Nomination)
WHERE SIZE((n)-[:CONTAINS]->(:Criterion)) = SIZE(criterion)
AND ALL(crit in criterion[1..] WHERE (n)-[:CONTAINS]->(crit))
RETURN n