# Data structures and algorithms tutorial

Almost every enterprise application uses various types of data structures in one or the other way.

A question that you may be asking at this point is "Wait a second, the cost from A to C would return not possible, but I can get to C from A by stepping through B!" This installation password 3d driving school europe edition 3.1 is a very valid point, but the cost.

Its starting to make my head hurt already.

Graphs can represent many different types of systems, from a two-dimensional grid (as in the problem above) to a map of the internet that shows how long it takes data to move from computer A to computer.There are a few technical terms that it would be useful to discuss at this point as well: Order The number of vertices in a graph Size The number of edges in a graph.And a tree clearly cannot have a loop.Array representation Representing a graph as a list of nodes is a very flexible method.There are empty spaces upon which bob can walk with no difficulty, and houses, which Bob cannot pass through.Ive used null here to represent the end of a list.And houses are represented.So for example, if there were an undirected edge from A to B you could move from A to B or from B.And since node is a recursive structure definition, every mother has mother and father, and every father has a mother and father, and.Get used to seeing cost functions because anytime that you encounter a graph problem you will be dealing with them in some form or another!Try the following example using the Try it option available at the top right corner of the following sample code box #include stdio.A node (or vertex) is a discrete position in the graph.This tutorial is designed for Computer Science graduates as well as Software Professionals who are willing to learn data structures and algorithm programming in simple and easy steps.So for example, the following connection matrix: A 0 1 5 B -1 0 1 C -1 -1 0 Would mean that node A has a 0 weight connection to itself, a 1 weight connection to node B and 5 weight connection to node.Another thing to note is that we could imagine a situation easily where the tree requires more than two node references, for example in an organizational hierarchy, you can have a manager who manages many people then the CEO manages many managers.A problem that appears intractable may prove to be a few lines with the proper data structure, and luckily for us the standard libraries of the languages used by topcoder help us a great deal here!A directed edge only allows travel in one direction, so if there were a directed edge from A to B you could travel from A to B, but not from B.After completing this tutorial you will be at intermediate level of expertise from where you can take yourself to higher level of expertise.Section 1: Recognizing and Representing a Graph.By gladius topcoder member, discuss this article in the forums.For example, if you wanted to start a family tree (a hierarchal organization of children to parents, starting from one child) you would not be able to store more than one parent per child.