In simple words, vector are Dynamic Array  with more functionality. How do Vector acts as a Dynamic Array? From today the article will be released at. Various tree algorithms including: the height or a tree, finding the center of a tree, rooting a tree, and etc... Dijkstra's algorithm. Graph Theory and Complex Networks: An Introduction – van Steen; Reported to be a great introduction with careful attention paid to make the mathematics less intimidating. Network formation of Competitive Programmers. Mark Needham and Amy Hodler from Neo4j explain how graph algorithms describe complex structures and reveal difficult-to-find patterns - from finding vulnerabilities and bottlenecks to detecting communities and improving machine learning predictions. We say that uis adjacent to … 4 Basic graph theory and algorithms References: [DPV06,Ros11]. In this level, we will be exploring Algorithms related to Directed Graphs such as Strongly Connected Component, Kosaraju's Algorithm, Topological Sort, Counting number of Paths, Extended Dijkstra Algorithm, Successor Paths, Cycle Detection. All the problems which will be discussed here will be in an incremental way. Every day a new problem set will be released to learn and practice and awesome solution/hint from fellow programmers for the previous to previous session (ie. names) are associated with the vertices and edges, and the subject that expresses and understands the real-world systems as a network is called network science. Checking Presence of Cycle in Directed graph using DFS, Graph Traversal using Depth First Search and Breadth First Search, Introduction to Strongly connected components and how to find them using Kosaraju's Algorithm. History of Graph Theory, Things we will discuss Introduction Strongly Connected Components Kosaraju's algorithm to compute strongly connected components in a directed graph Practice Problems Prerequisite: Topological Sorting Connected Component Introduction In a directed graph, the edges can be traversed in one direction only, so even if the graph is connected, this does not guarantee that there would be a path from a node to another. Shortest/longest path on a acyclic graph. -------------------- X--------------------, Things to be discussed in this article, Why graph traversal? Bellman Ford's algorithm. Now when we try to insert 2, we don't have any more space in a vector so that time it creates a new vector with size 4 and copies all the previous vector data to it and inserts 2. Topological sort algorithm. When we initialize a vector and don't specify any size then its default size is 1 in which we insert the 1. Breadth-first search algorithm. we get 2 days to solve the problem ourselves or to discuss and solve) will be released at 9:00 PM. Graphs can be used to model many types of relations and processes in physical, biological, social and information systems. In this level, we will be exploring Algorithms related to Directed Graphs such as Strongly Connected Component,  Kosaraju's Algorithm, Topological Sort, Counting number of Paths, Extended Dijkstra Algorithm, Successor Paths, Cycle Detection. Checking Presence of Cycle in Directed graph using DFS. Emphasizing their application to real-world systems, the term network is sometimes defined to mean a graph in which attributes (e.g. YouTube: Graph Algorithm Series; Good series that is snappy and easy to understand. 4.1 Basic graph de nitions De nition 4.1. A graph G= (V;E) is a set V of vertices and a set Eof edges. 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