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Tag Archives: Graph Minimum Spanning Tree

For a connected and undirected graph, a spanning tree of that graph is a subgraph that is a tree and connects all the vertices together.… Read More
Given undirected weighted graph G, the task is to find the Maximum Spanning Tree of the Graph using Prim’s Algorithm Prims algorithm is a Greedy… Read More
Prerequisites: Graph Theory Basics, Spanning tree. Complete Weighted Graph: A graph in which an edge connects each pair of graph vertices and each edge has… Read More
Given an undirected weighted complete graph of N vertices. There are exactly M edges having weight 1 and rest all the possible edges have weight… Read More
Given an undirected graph of V nodes (V > 2) named V1, V2, V3, …, Vn. Two nodes Vi and Vj are connected to each… Read More
Give a complete graph with N-vertices. The task is to find out the maximum number of edge-disjoint spanning tree possible.Edge-disjoint Spanning Tree is a spanning… Read More
Consider a weighted complete graph G on the vertex set {v1,v2 ,v} such that the weight of the edge (v,,v) is 2|i-j|. The weight of… Read More
Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum… Read More
Consider the following graph: Which one of the following cannot be the sequence of edges added, in that order, to a minimum spanning tree using… Read More
An undirected graph G has n nodes. Its adjacency matrix is given by an n × n square matrix whose (i) diagonal elements are 0‘s… Read More
In the graph given in above question question, what is the minimum possible weight of a path P from vertex 1 to vertex 2 in… Read More
Consider a complete undirected graph with vertex set {0, 1, 2, 3, 4}. Entry Wij in the matrix W below is the weight of the… Read More
The length of the path from v5 to v6 in the MST of previous question with n = 10 is (A) 11 (B) 25 (C)… Read More
An undirected graph G(V, E) contains n ( n > 2 ) nodes named v1 , v2 ,….vn. Two nodes vi , vj are connected… Read More