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Minimal Graph Database (MiniGraphDB)

Synopsis

MiniGraphDB implements a minimal directed graph database in memory via Python3. Nodes are stored as dictionary data structures. Outgoing relationships are stored on each node as a nested dictionary nodes[node][__rels] of relationships with their own properties and pointers to other nodes. Both nodes and relationships may contain key/value properties, stored in their respective dict data structures.

Sample Graph

Sample Graph

Data Structures

Node data structure

The nodes dict() holds all nodes for each instance of a MiniGraphDB. Each node in nodes is a dict() itself. New nodes are initialized with an empty nodes[name]['__rels'] dictionary of outgoing relationships. Each relationship key in __rels is a tuple of (relationship_name, dstNode).

Relationship data structure

Relationships are stored as dicts and added to the srcNode's __rels dictionary. Relationship dicts() keep track of __src, __dst and __weight for future capabilities, but currently the (relationship_name, dstNode) key in __rels suffices.

Traversals

MiniGraphDB supports both breadth-first and depth-first traversals across the graph.

Usage

To load the sample graph, test queries, as well as run traversal algorithms, execute ./testmgdb.py on any machine with a Python3.4+ interpreter installed. There are no dependencies outside the standard libraries.

Sample Output

Loading MiniGraphDB nodes and relationships based on sample graph...[success]

Testing MiniGraphDB with Various Queries and Traversals...

Node A Property "type": db.nodes["A"]["type"]
{ 'Type': 'router'}

Node "A" Property Dump: db.getNodeProps("A")
{ 'model': 'N7700',
  'role': 'core',
  'type': 'router'}

Non-existent Node Property Dump: db.getNodeProps("Z")
Caught Exception: No node named Z found in database

Relationship (D)-[e:1G]->(B) Property Dump: db.getRelProps("1G", "D", "B")
{ 'MTU': '9000'}

Non-existent Relationship (A)-[e:1G]->(C) db.getRelProps(...) Dump:
Caught Exception: Nodes A, C exist in database, but no relationship [1G] exists from A -> C

Outgoing Relationships from A: db.getRelationships(A)
[('10G', 'B'), ('10G', 'G'), ('1G', 'D')]

Outgoing Relationships from E: db.getRelationships(E)
[('10G', 'A'), ('1G', 'A')]

BFS Traversal A -> E on Relationships [10G, 1G]:
(True, [['A', '10G', 'B'], ['B', '1G', 'E']])

DFS Traversal A -> E on any Relationship Type:
(True, [['A', '1G', 'D'], ['D', '10G', 'E']])

BFS Traversal E -> F (orphaned) on any Relationship Type:
(False, [])

BFS Traversal F -> E on any Relationship Type:
(True, [['F', '10G', 'A'], ['A', '10G', 'B'], ['B', '1G', 'E']])

BFS Traversal A -> A on any Relationship Type (always SPF):
(True, [['A', '10G', 'B'], ['B', '1G', 'E'], ['E', '10G', 'A']])

DFS Traversal A -> A on any Relationship Type (path length varies):
(True, [['A', '1G', 'D'], ['D', '1G', 'B'], ['B', '1G', 'E'], ['E', '10G', 'A']])

BFS Traversal A -> A on 10G Links Only:
(True, [['A', '10G', 'B'], ['B', '10G', 'C'], ['C', '10G', 'D'], ['D', '10G', 'E'], ['E', '10G', 'A']])

DFS Traversal A -> A on 1G Links Only:
(True, [['A', '1G', 'D'], ['D', '1G', 'B'], ['B', '1G', 'E'], ['E', '1G', 'A']])

Checking for Loops Starting at F: db.hasloop("F")
(True, ['Path TBD: Found loop around G'])

Checking for Loops Starting at G: db.hasloop("G")
(False, [])

Create new MiniGraphDB Instance (loopdb) A -> B -> C -> B for Testing hasloop()

Checking for Loops Starting at A: loopdb.hasloop("A")
(True, ['Path TBD: Found loop around B'])

Done for now! Please enjoy...

Python Documentation

NAME
    mgdb

DESCRIPTION
    MiniGraphDB Python3.4+ module for implementing a minimal Graph Database in
    memory. See the included README.md for more information.

CLASSES
    builtins.object
        MiniGraphDB

    class MiniGraphDB(builtins.object)
     |  MiniGraphDB is a simple implementation of a directed graph of nodes and
     |  relationships (edges and vertices), each with properties, along with both
     |  breadth-first and depth-first traversal algorithms.
     |
     |  Methods defined here:
     |
     |  __init__(self)
     |      Initializes GraphDB, creates nodes dict()
     |
     |  addNode(self, name, props=None)
     |      Adds a node to the database
     |
     |      Inputs: name => Unique name of node
     |              props => Optional node properties dictionary
     |
     |  addRelationship(self, name, srcNode, dstNode, props=None, weight=1)
     |      Adds a relationship 'name' from srcnode to dstnode
     |
     |      Inputs: name => Relationship Name
     |              srcNode => Source Node Name
     |              dstNode => Destination Node Name
     |              weight => Optional Weight Value, defaults to 1
     |
     |  getNodeProps(self, name)
     |      Get the properties for a node as a dict()
     |
     |      Inputs: name => Name of node
     |
     |      Returns: dict() of properties
     |
     |  getRelProps(self, name, srcNode, dstNode)
     |      Get the properties for a relationship as a dict()
     |
     |      Inputs: name => Name of relationship
     |              srcNode => Source Node
     |              dstNode => Destination Node
     |
     |      Returns: dict() of properties
     |
     |  getRelationships(self, name)
     |      Returns list of tuple relationships node (name) has.
     |
     |      Input: name => Name of node
     |
     |      Returns: [(relname, dstNode),{...}]
     |
     |  hasloop(self, startNode)
     |      Calls _traverseBFS with an unreachable endNode, looking for any nodes
     |      that have been visited. If it finds a visited node, there must be a loop.
     |
     |      Input: startNode => Start searching for loops from here
     |
     |      Returns: (bool, [path])
     |
     |  mergeNodeProperties(self, name, props)
     |      Merge node properties dictionary. Updates existing properties if the
     |      exist, or create new ones if they don't
     |
     |      Inputs: name => name of node
     |              props => dictionary of key/values to merge
     |
     |  mergeRelProperties(self, name, srcNode, dstNode, props)
     |      Merge relationship properties dictionary. Updates existing properties if
     |      the exist, or creates new ones if they don't.
     |
     |      Inputs: name => name of relationship
     |              srcNode => Source Node of Relationship
     |              dstNode => Destination Node of Relationship
     |              props => dictionary of key/values to merge
     |
     |  traverse(self, startNode, endNode, allowRels=None, algo='BFS')
     |      Traverse Graph, starting at startNode until endNode is found.
     |      Defaults to a Breadth First Search, but can also perform a
     |      depth first search if desired.
     |
     |      Inputs: startNode => Start Traversal from this node
     |              endNode => Search for path to endNode
     |              allowRels => Optional List of relationship names to traverse
     |                           None traverses all relationship names
     |              algo => Type of search (BFS, DFS), defaults to BFS
     |
     |      Returns: tuple (found (bool), path (dict))
     |
     |  ----------------------------------------------------------------------

Motivation

MiniGraphDB was written to explore what would be required to create a Graph Database from scratch in Python3 using the standard libraries, with no prior knowledge about how a Graph Database should be implemented. It should be used for understanding potential implementations of Graph Databases only, and is not considered production ready. MiniGraphDB was written for clarity and understanding over performance.

Expandibility of MiniGraphDB

MiniGraphDB could be easily expanded in many ways. Here are a few examples.

Storing the Graph to Disk

Using the standard pickle module, a GraphDB object could be saved to disk, and then recovered at the next runtime. This would not be the most efficient storage method, but for the purposes of this program, it should suffice.

Undirected Traversals

It should be easy to reverse the graph traversal direction as well as add direction-less graph traversal by adding an __inrels dictionary to each node to keep track of all incoming relationships. The traversal algorithms could be modified to traverse in either/both directions.

Weighted Traversals

Traversals could take into account the __weight variable of relationships to implement a version of Dijkstra's algorithm.

All Shortest Paths Traversal

Combining an implemetation of Dijkstra's algorithm above, a special type of traversal could be created to return all shortest paths, instead of only the first path found.

hasloop() Path Representation

Currently hasloop() only detects a loop, and does not return the loop structure. _traverseBFS() could be modified to return the found loop with a recursive call to _traverseBFS() from startNode to the node the loop was found around, as well as a _traverseBFS() call where startNode and endNode are equal to the node the loop was found at, revealing the looped path.

Merge Methods

Adding mergeNode and mergeRelationship would create or merge existing nodes and/or relationships along with updating/adding properties to nodes and relationships.

Where Clauses

Traversal algorithms could be modified to check whether properties on nodes/relationships meet certain criteria, such as (==, !=, <, >, =~, etc).

Adopt the Cypher Query Lanuage

It's possible to implement a subset of the Cypher query language to allow for easier graph queries. Cypher is a friendly graph query language used by Neo4j, and is available open-source for all implementation of Graph Databases: Open Cypher

REST API

A REST API could be added via Flask to allow remote inserts into the database as well as returning all queried data as JSON.

Custom Exceptions

Currently, all exceptions are generic. Specific Exceptions could be added for cases such as NoNodeFound or NoRelationshipFound.

Proper Test Suite

MiniGraphDB could include py-tests to unit test as well as run larger tests on the database, but this would require installing modules outside of the standard libraries.

Optimization

It's possible to cache traversals on graphs that do not change often. This could be accomplished with the @functools.lru_cache decorator along with a call to invalidate the cache as the graph changes. While there are many avenues of optimization, none would add clarity to MiniGraphDB, which was the primary goal of this implementation.

Contributors

License

MiniGraphDB is licensed under the GNU AGPLv3 License.

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