How to represent a tree like structure in a db - database

I'm starting a project and I'm in the designing phase: I.e., I haven't decided yet on which db framework I'm going to use. I'm going to have code that creates a "forest" like structure. That is, many trees, where each tree is a standard: nodes and edges. After the code creates these trees I want to save them in the db. (and then pull them out eventually)
The naive approach to representing the data in the db is a relational db with two tables: nodes and edges. That is, the nodes table will have a node id, node data, etc.. And the edges table will be a mapping of node id to node id.
Is there a better approach? Or given the (limited) assumptions I'm giving this is the best approach? How about if we add an assumption that the trees are relatively small - is it better to save the whole tree as a blob in the db? Which type of db should I use in that case? Please comment on speed/scalability.
Thanks

I showed a solution similar to your nodes & edges tables, in my answer to the StackOverflow question: What is the most efficient/elegant way to parse a flat table into a tree? I call this solution "Closure Table".
I did a presentation on different methods of storing and using trees in SQL, Models for Hierarchical Data with SQL and PHP. I demonstrated that with the right indexes (depending on the queries you need to run), the Closure Table design can have very good performance, even over large collections of edges (about 500K edges in my demo).
I also covered the design in my book, SQL Antipatterns Volume 1: Avoiding the Pitfalls of Database Programming.

Be sure to use some sort of low level-coding for the entity being treed to prevent looping. The entity might be a part, subject, folder, etc.
With an Entity file and and Entity-Xref file you can loop through one of say two relationships between the two files, a parent and a child relation.
A level is the level an entity found in a tree. A low-level-code for the entity is the lowest level an entity is found in any tree anywhere. Check to make sure the low level code of the entity you want to make a child is less than or equal to prevent a loop. after adding an entity as a child it will become at least one level lower.

Related

Graph database modeling: multiple edges are better than single edges with properties?

This is for a project that will map metadata. There are many more nodes but this particular one became a debate in the team.
Which model would yield the best query performance? Or it does not matter?
Option 1
Permission metadata is explicit as edges between nodes.
Option 2
Permission metadata is inside the properties of the edge.
Option 3
???
Let me comment for ArangoDB here, being one of its developers.
There is a third possibility, namely to have a single vertex collections and multiple edge collections for the different access methods. You would then "officially" have 3 graphs that share the same vertex set.
I would expect that this is better in performance, because each access type would only have to deal with a single type of edge and access would be fast.
Obviously it all depends on your queries. My statement holds for queries like "what are all the Entities a Person can update?" or "who can select this Entity?".
I could imagine that your standard query is more "Can this person delete that Entity?" or "Which access rights does this person have for that Entity?".
These two questions are probably not efficient with any of the approaches suggested, because as far as I see, all of them would then require a search, either in the outgoing edges of the Person or in the incoming edges of the Entity.
What would be needed here are a kind of "vertex centric indices", that is an index that can be used for the set of outgoing or incoming edges of a given vertex. If you, for example would use your option 2 (or indeed 1, this does not matter so much), and have a sorted index on all edges that is sorted first by Person and then by Entity. Then it is a lookup with time complexity O(log(#edges)) to find the (probably singleton) set of edges from a given Person to a given Entity.
We at ArangoDB are currently busy to add this feature, which will appear in one of the next two releases.
I can only speak for Neo4j here:
I don't know that it would matter much, but definitely benchmark! Both relationships and properties are stored as linked lists, so it will still need to traverse them. But if you have more relationships between Person and Entity nodes then putting them in properties starts to become more attractive.
I recommend checking out the free O'Reilly book Graph Databases to learn more about the internals of Neo4j. But benchmarks will always be the gold standard.

Modeling for Graph DBs

Coming from as SQL/NoSQL background I am finding it quite challenging to model (efficiently that is) the simplest of exercises on a Graph DB.
While different technologies have limitations and best practices, I am uncertain whether the mindset that I am using while creating the models is the correct one, hence, I am in the need of guidance, advice and/or resources to help me get closer to the right practices.
The initial exercise I have tried is representing a file share entire directory (subfolders and files) in a graph DB. For instance some of the attributes and queries I would like to include are;
The hierarchical structure of the folders
The aggregate size at the current node
Being able to search based on who created a file/folder
Being able to search on file types
This brings me to the following questions
When/Which attributes should be used for edges. Only those on which I intend to search? Only relationships?
Should I wish to extend my graph capabilities, for instance, search on files bigger than X? How does one try to maximize the future capabilities/flexibility of the model so that such changes do not cause massive impacts.
Currently I am exploring InfiniteGraph and TitanDB.
1) The only attribute I can think of to describe an edge in a folder hierarchy is whether it is a contains or contained-by relationship.
(You don't even need that if you decide to consider all your edges one or the other. In your case, it looks like you'll almost always be interrogating descendants to search and to return aggregate size).
This is a lot simpler than a network, or a hierarchy where the edges may be of different types. Think an organization chart that tracks not only who manages whom, but who supports whom, mentors whom, harasses whom, whatever.
2) I'm not familiar with the two databases you mentioned, but Neo4J allows indexes on node properties, so adding an index on file_size should not have much impact. It's also "schema-less," so that you can add attributes on the fly and various nodes may contain different attributes.

Hierarchical SQL data (Recursive CTE vs HierarchyID vs closure table)

I have a set of hierarchical data being used in a SQL Server database. The data is stored with a guid as the primary key, and a parentGuid as a foreign key pointing to the objects immediate parent. I access the data most often through Entity Framework in a WebApi project. To make the situation a little more complex I also need to manage permission based on this hierarchy such that a permission applied to a parent applies to all of its descendants. My question is this:
I have searched all over and cannot decide which would be best to handle this situation. I know I have the following options.
I can create Recursive CTEs, Common Table Expression, (aka RCTE) to handle the hierarchical data. This seems to be the most simple approach for normal access, but I'm worried it may be slow when used to determine permission levels for child objects.
I can create a hierarchyId data type field in the table and use SQL Server provided functions such as GetAncestor(), IsDescendantOf(), and etc. This seems like it would make querying fairly easy, but seems to require a fairly complex insert/update trigger to keep the hierarchyId field correct through inserts and moves
I can create a closure table, which would store all of the relationships in the table. I imagine it as such: parent column and child column, each parent -> child relationship would be represented. (ie 1->2 2->3 would be represented in the database as 1-2, 1-3, 2-3). The downside is that this requires insert, update, and delete triggers even though they are fairly simple, and this method generates a lot of records.
I have tried searching all over and can't find anything giving any advice between these three methods.
PS I am also open to any alternative solutions to this problem
I have used all three methods. It's mostly a question of taste.
I agree that hierarchy with parent-child relationships in the table is the simplest. Moving a subtree is simple and it's easy to code the recursive access with CTEs. Performance is only going to be an issue if you have very large tree structures and you are frequently accessing the hierarchical data. For the most part, recursive CTEs are very fast when you have the correct indexes on the table.
The closure table is more like a supplement to the above. Finding all the descendants of a given node is lightning fast, you don't need the CTEs, just one extra join, so it's sweet. Yes, the number of records blows up, but I think it is no more than N-1 times the number of nodes for a tree of depth N (e.g. a tertiary tree of depth 5 would require 1 + 3 + 9 + 27 + 81 = 121 connections when storing only the parent-child relationship vs. 1 + 3 + (9 * 2) + (27 * 3) + (81 * 4) = 427 for the closure table). In addition, the closure table records are so narrow (just 2 ints at a minimum) that they take up almost no space. Generating the list of records to insert into the closure table when a new record is inserted into the hierarchy takes a tiny bit of overhead.
I personally like HierarchyId since it really combines the benefit of the above two, which is compact storage, and lightning fast access. Once you get it set up, it is easy to query and takes very little space. As you mentioned, it's a little tricky to move subtrees around, but it's manageable. Anyway, how often do you really move a subtree in a hierarchy? There are some links you can find that will suggest some methods, e.g.:
http://sqlblogcasts.com/blogs/simons/archive/2008/03/31/SQL-Server-2008---HierarchyId---How-do-you-move-nodes-subtrees-around.aspx
The main drawback I have found to hierarchyId is the learning curve. It's not as obvious how to work with it as the other two methods. I have worked with some very bright SQL developers who would frequently get snagged on it, so you end up with one or two resident experts who have to field questions from everyone else.

Django - Optional recursive relationship

I am trying to use Django to create a recursive relationship, which gives users a folder-like hierarchical structure in which to place resources.
What would be the best way to achieve this?
I know I could use treebeard or mptt to create a nested set but I have read that making changes to the tree structure (something that would be happening a lot in this case) can be quite an intensive operation as a lot of fields have to be updated.
On the other hand, I could folder model with a ForeignKey to self but how do I manage the top level folders with no foreign key value? Will Django complain if I just set this value to be NULL?
Any advice appreciated.
Thanks.
Treebeard actually supports three different tree implementations, just choose the one that will suite your needs.
Adjacency List (fast writes at the cost of slow reads)
Materialized Path (probably the fastest way of working with trees in SQL)
Nested Sets (very efficient reads at the cost of high maintenance on write/delete operations)
Docs are here: https://tabo.pe/projects/django-treebeard/docs/tip/

Hierarchical Data Models: Adjacency List vs. Nested Sets

I have a product catalog. Each category consists of different number (in deep) of subcategories. The number of levels (deep) is unknown, but I quite sure that it will not be exceed of 5,6 levels. The data changes are much more rarely then reads.
The question is: what type of hierarchical data model is more suitable for such situation. The project is based on Django framework and it's peculiarities (admin i-face, models handling...) should be considered.
Many thanks!
Nested sets are better for performance, if you don't need frequent updates or hierarchical ordering.
If you need either tree updates or hierarchical ordering, it's better to use parent-child data model.
It's easily constructed in Oracle and SQL Server 2005+, and not so easily (but still possible) in MySQL.
I would use the Modified Preorder Tree Traversal algorithm, MPTT, for this sort of hierarchical data. This allows great performance on traversing the tree and finding children, if you don't mind a bit of a penalty on changes to the structure.
Luckily Django has a great library available for this, django-mptt. I've used this in a number of projects with a lot of success. There's also django-treebeard which offers several alternative algorithms, but I haven't used it (and it doesn't seem as popular as mptt anyway).
According to these articles:
http://explainextended.com/2009/09/24/adjacency-list-vs-nested-sets-postgresql/
http://explainextended.com/2009/09/29/adjacency-list-vs-nested-sets-mysql/
"MySQL is the only system of the big four (MySQL, Oracle, SQL Server, PostgreSQL) for which the nested sets model shows decent performance and can be considered to stored hierarchical data."
http://www.sqlsummit.com/AdjacencyList.htm
The Adjacency List is much easier to maintain and Nested Sets are a lot faster to query.
The problem has always been that converting an Adjacency List to Nested Sets has taken way too long thanks to a really nasty "push stack" method that's loaded with RBAR. So people end up doing some really difficult maintenance in Nested Sets or not using them.
Now, you can have your cake and eat it, too! You can do the conversion on 100,000 nodes in less than 4 seconds and on a million rows in less than a minute! All in T-SQL, by the way! Please see the following articles.
Hierarchies on Steroids #1: Convert an Adjacency List to Nested Sets
Hierarchies on Steroids #2: A Replacement for Nested Sets Calculations

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