Cypher query in distributed system:Neo4j

Sir ,Can you please tell me how cypher query or how graph works on cluster based architecture?

There's quite a complete description with diagrams and examples in the documentation:

Please have a look at this and let us know if you have any specific questions.

Sir, i want to know how graph partitioned over cluster

As of Neo4j 3.4, the graph is not partitioned. In a cluster architecture, an entire copy of the graph is present on all nodes in the cluster.

Sir, can you please provide me some manual

Sir ,actually i want to compare stand alone and distributed processing of graph database

I'm sorry, I do not understand your question. The manual is linked above, so if you're looking for documentation I have provided it.