Operators in Cypher are of three different varieties - mathematical, equality and relationships.

The mathematical operators are +, -, *, / and %. Of these, only the plus-sign works on strings.

The equality operators are =, <>, <, >, <=, >=.

Since Neo4j is a schema less graph database, Cypher has two special operators - ? and !.

They are used on properties, and are used to deal with missing values. A comparison on a property that does not exist will cause an error. Instead of having to always check if the property exists before comparing it’s value with something else, the question mark make the comparison always return true if the property is missing, and the exclamation mark makes the comparator return false.

This predicate will evaluate to true if n.prop is missing.

WHERE n.prop? = "foo"

This predicate will evaluate to false if n.prop is missing.

WHERE n.prop! = "foo"

Warning: Mixing the two in the same comparison will lead to unpredictable results.

This is really syntatic sugar that expands to this:

WHERE n.prop? = "foo" ⇒ WHERE (not(has(n.prop)) OR n.prop = "foo")

WHERE n.prop! = "foo" ⇒ WHERE (has(n.prop) AND n.prop = "foo")