# Tag Archives: Data Structures-Graph

Topological sorting is a common problem in computer science that involves arranging the vertices of a directed acyclic graph (DAG) in a linear order such… Read More
Pre-requisites: Handshaking theorem. Pendant Vertices  Let G be a graph, A vertex v of G is called a pendant vertex if and only if v… Read More
An Adjacency List is used for representing graphs. Here, for every vertex in the graph, we have a list of all the other vertices which… Read More
Given a Directed Acyclic Graph having V vertices and E edges, where each edge {U, V} represents the Jobs U and V such that Job… Read More
Given an undirected weighted graph of N nodes and M edges in the form of a tuple lets say {X, Y, Z} such that there… Read More
INTRODUCTION: Databases: Databases use data structures such as trees, heaps, and hash tables to store and retrieve data efficiently. Operating systems: Operating systems use data… Read More
Parenthesis Theorem is used in DFS of graph. It states that the descendants in a depth-first-search tree have an interesting property. If v is a… Read More
Tree:- A connected graph without any circuit is called a Tree. In other words, a tree is an undirected graph G that satisfies any of… Read More
A Graph is a non-linear data structure consisting of nodes and edges. The nodes are sometimes also referred to as vertices and the edges are… Read More
Given the number of vertices in a Cycle Graph. The task is to find the Degree and the number of Edges of the cycle graph.… Read More
Wheel Graph: A Wheel graph is a graph formed by connecting a single universal vertex to all vertices of a cycle.  Properties: Wheel graphs are… Read More
In graph theory, Vizing’s theorem states that every simple undirected graph may be edge colored using a number of colors that is at most one… Read More
Given a directed graph having n nodes. For each node, delete all the outgoing edges except the outgoing edge with minimum weight. Apply this deletion… Read More
Given an undirected graph G with V vertices and E edges, the sum of the degrees of all vertices is (A) E (B) 2E (C)… Read More
Consider an undirected random graph of eight vertices. The probability that there is an edge between a pair of vertices is 1/2. What is the… Read More