This a GithUb repository in which ia have explored various implementations of trees and graphs.

The repository contains implementation of the following:
	1. Binary Search Tree (BST).
	2. AVL Tree.
	3. Red-Black Tree.
	4. Minimal Spanning Tree:
		a. By using Prim's Algorithm.
		b. By using Kruskal's Algorithm.
	5. Dijktras Algorithm for shortest path from one node to all the other nodes in the graph.


The repository is divided into three directories: 
	1. include: contains all the header files.
		    The header files list is as follows:
			a. graph.h 	: headers used for creating a graph.
			b. spanning.h	: headers required for prims and dijktras algorithm.
			c. kruskal.h	: headers required for kruskals algorithm for minmal spanning tree.
			d. heap.h	: headers required to make min heap for prim and dijktras algorithm.
			e. trees.h	: headers for AVL, BST and Red Black Tree.
	
	2. src: contains all the implementations of the functions.
		The list is as follows:
			a. dijktras.c 	: Implementation of dijktra's algorithm.
			b. kruskal.c 	: Implementation of kruskal's algorithm.
			c. prim.c 	: Implementation of prim's algorithm.
			d. graph.c 	: Implementation of insertion in graph.
			e. insert.c 	: Implenetation for insertion in AVL, BST and Red Black Tree.
			d. delete.c 	: Implementation for deletion in AVL and BST tree.
			e. searching.c 	: Implementation for searching in AVL, BST and redBlack Tree.
			f. heap.c 	: Implementation of min heap algorithm .
			g. print.c 	: implementation for printing of AVL, BST and Red Black Tree.

	3. test: contains all the test files for the library.
		The files are as follows: 
			a. avl_app.c 		: Test program  for AVL Tree .
			b. bst_app.c 		: Test program  for BST Tree.
			c. redBlack_app.c 	: Test program  for Red Black Tree.
			d. prim_app.c 		: Test program  for prim's algorithm for MST.
			e. dijktras_app.c 	: Test program  for dijktra's algorithm.
			f. kruskal_app.c 	: Test program  for kruskal's algorithm for MST.

	It also consists of a make file which internally invokes the make files present in the src and test directory.
	The make files creates a build folder where youy can find the executables of the test files after you run the make command.


How to use this repository:

	1. clone or download this repository.
	2. go to the path where this repository is stored.
	3. Then once you enter the repository simply run the make command
		$ make
	4. you will see that a build directory has been generated which contatins all the executable files.
	5. go to this build folder.
		$ cd build
	6. Then simply run which ever application ypu want.
		e.g.: $ ./avl

	7. if you want to remove all the executables come back to the parent directory and run clean target of make
		$ make clean
	8. This will remove the execuatbles and the libtree.a library created 

Hope you like this repository do tell me if there are any bugs.