##About MDAG (Minimalistic Directed Acyclic Graph) is a Java library capable of constructing character-sequence-storing, directed acyclic graphs of minimal size.

The library is small, deceptively simple, fast, and powerful. It differs from other libraries capable of creating minimal directed acyclic graphs (also known as MA-FSA (Minimal Acyclic Finite State Automata) or DAWGs (directed acyclic word graphs)) in the following ways:

• Graphs are constructed directly from input (instead of from a preliminarily constructed trie)
• Graphs can be constructed from unsorted input
• Graphs can be constructed from either files or collections
• Graphs can be modified on the fly (words can be added and/or removed from the represented lexicon)
• Graphs can be "simplified" in to an array for even more space-savings
• Out of the box convenience methods are provided for perusing the graph:

The code well structured, easy to follow, and extensively commented for the benefit of developers seeking to understand the data structure, as well as developers seeking to add homogeneous, functionality-extending code with ease.

The code has also been fully tested for correct functionality and performance.

##How to use

MDAG myMDAG = new MDAG(new ArrayList<String>()); //Overriden constructor also accepts a file

//Add a single String to the lexicon
myMDAG.addString("str0");

//Add a collection of Strings to the lexicon
myMDAG.addStrings(Arrays.asList(new String[]{"str1", "str2", "str3"}));

//Remove a String from the lexicon
myMDAG.removeString("str0");

//Deterine if the lexicon contains a given String (O(n) based on input)
boolean doesContain = myMDAG.contains("str0"); //false

//Get all Strings starting with "str1" (O(n) based on input)
HashSet<String> startingWithSet = myMDAG.getStringsStartingWith("str1"); //{"str1"}

//Get all String ending with "2" (O(n) based on dictionary)
HashSet<String> endingWithSet = myMDAG.geStringsEndingWith("2"); //{"str2"}

//Get all String containing "r3" (O(n) based on dictionary)
HashSet<String> containingSet = myMDAG.getStringsWithSubstring("r3"); //{"str3"}

//Get all Strings
HashSet<String> entireSet = myMDAG.getAllStrings(); //{"str1", "str2", "str3"}

//Simpify graph structure in to an array (further space reduction)
myMDAG.simplify();

##Repo contents

• src: Contains source code for unit & integration tests as well as modified MDAG source code with exclusive debugging methods and permissive access modifiers on existing methods to facilitate testing
• dist: Contains test library and test suite jars
• final: Contains src and dist folders housing production-ready MDAG source and jar files respectively
• words.txt: Lexicon (/usr/share/dict/words)
• words_unsorted.txt: Shuffled lexicon (/usr/share/dict/words)

##Licensing and usage information

MDAG is licensed under the Apache License, Version 2.0.

Informally, It'd be great to be notified of any derivatives or forks (or even better, issues or refactoring points that may inspire one)!

More informally, it'd really be great to be notified any uses in open-source, educational, or (if granted a license) commercial contexts. Help me build my portfolio, if you found the library helpful it only takes an e-mail!

##Reference material

• Incremental Construction of Minimal Acyclic Finite-State Automata (2000) by Jan Daciuk , Stoyan Mihov , Bruce W. Watson , Richard E. Watson (http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.37.7600) (Presented algorithms used as bases for MDAG construction and manipulation algorithms)

• Programming Abstractions (Lecture 25)- Julie Zelinsky (Stanford University) (http://www.youtube.com/watch?v=TJ8SkcUSdbU) (Presented size reduction process used as basis for MDAG simplification algorithm)