DELETE

Delete nodes or relationships

The DELETE clause is used to delete nodes and relationships identified within a MATCH clause, possibly qualified by a WHERE. Remember that you can not delete a node without also deleting relationships that start or end on said node.

Reference: DELETE manual page
Related: :help DETACH DELETE :help MATCH :help WHERE :help REMOVE :help Cypher
MATCH (n)-[r]-() WHERE n.name = 'Soren' DELETE r
Remove all of Soren's friends.