Update readme.md

Author: nitishtw

Competitive Coding/Tree/Minimum Spanning Tree/readme.md

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-Minimum spanning tree
-"A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, 
-edge-weighted (un)directed graph that connects all the vertices together, 
-without any cycles and with the minimum possible total edge weight."
+## Minimum spanning tree ##
+
+A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of 
+a connected, edge-weighted (un)directed graph that connects all the vertices together, 
+without any cycles and with the minimum possible total edge weight.
+
+That is, it is a spanning tree whose sum of edge weights is as small as possible.
+
+<p align="center">
+  <img src="https://upload.wikimedia.org/wikipedia/commons/d/d2/Minimum_spanning_tree.svg"/>
+</p>
+
+> Properties :
+* A connected graph G can have more than one spanning tree.
+* All possible spanning trees of graph G, have the same number of edges and vertices.
+* Removing one edge from the spanning tree will make the graph disconnected, i.e. the spanning tree is minimally connected.
+* Adding one edge to the spanning tree will create a circuit or loop, i.e. the spanning tree is maximally acyclic.
+* A spanning tree does not have cycles and it cannot be disconnected.
+
+> Mathematical Properties of Spanning Tree :
+* Spanning tree has n-1 edges, where n is the number of nodes (vertices).
+* From a complete graph, by removing maximum e - n + 1 edges, we can construct a spanning tree.
+* A complete undirected graph can have maximum n^(n-2) number of spanning trees.
+
+> Application of Minimum spanning tree :-
+* Design of networks in telephone, electrical, hydraulic, TV cable, computer, road etc.
+* Cluster Analysis
+* Traveling salesman problem
+* Handwriting recognition
+
+> There are two most important & famous spanning tree algorithm :
+1. Kruskal's Algorithm
+2. Prim's Algorithm