Here is a simple example to get you started.

from neo4j import GraphDatabase

# Create a database
db = GraphDatabase(folder_to_put_db_in)

# All write operations happen in a transaction
with db.transaction:
    firstNode = db.node(name='Hello')
    secondNode = db.node(name='world!')

    # Create a relationship with type 'knows'
    relationship = firstNode.knows(secondNode, name='graphy')

# Read operations can happen anywhere
message = ' '.join([firstNode['name'], relationship['name'], secondNode['name']])

print message

# Delete the data
with db.transaction:
    firstNode.knows.single.delete()
    firstNode.delete()
    secondNode.delete()

# Always shut down your database when your application exits
db.shutdown()