In the Minimum Height Trees problem, we have given an undirected graph which is tree in nature (acyclic and fully connected graph). Find out those vertices (or vertex) in the graph that when taken as root, will give tree with minimum height. Height of Tree: Height of the tree rooted …
Floyd Warshall Algorithm is a method to find the shortest path between two vertices for all the pairs of vertices. We apply this method to a weighted graph with no negative cycles. We apply some operations to the V*V matrices which initially store large value(infinite) in each cell. Here we use …
A bipartite graph is a type of graph in which we divide the vertices of a graph into two sets. There are no edges between the vertices of the same set. Here in the bipartite_graph, the length of the cycles is always even. Basically, the sets of vertices in which …
Strongly Connected Components are the connected components of a given graph. SCC(strongly connected component) are those connected components in which every pair of a node have a path to visit from one to another node. SCC applied to Directed Graphs only. This means the path between two nodes is a …
Given a directed acyclic graph, topologically sort the graph nodes. Topological Sorting Example Topological sorting of above graph is -> {1,2,3,0,5,4} Theory Topological Sorting is done for a Directed Acyclic Graph (DAG). A DAG has no cycles in it. ie, there is no such path starting from any node of …
Depth First Search is a traversing or searching algorithm in tree/graph data structure. The concept of backtracking we use to find out the DFS. It starts at a given vertex (any arbitrary vertex) and explores it and visit the any of one which is connected to the current vertex and start …
Breadth First Search (BFS) for a graph is a traversing or searching algorithm in tree/graph data structure. It starts at a given vertex(any arbitrary vertex) and explores all the connected vertex and after that moves to the nearest vertex and explores all the unexplored nodes and takes care that no …
A graph is an abstract data type representing relations or connections between objects(like cities are connected by rough road). In the graph and its representation, basically, the relation is denoted by edges and objects by vertices(nodes). A graph consists of a finite set of vertices and edges. A graph is …
Dijkstra is the shortest path algorithm. Dijkstra algorithm is used to find the shortest distance of all nodes from the given start node. It logically creates the shortest path tree from a single source node, by keep adding the nodes greedily such that at every point each node in the …