Graph terminologies, Data Structure & Algorithms

Assignment Help:

Graph terminologies :

Adjacent vertices: Two vertices a & b are said to be adjacent if there is an edge connecting a & b. For instance, in given Figure, vertices 5 & 4 are adjacent.

Path: A path is described as a sequence of distinct vertices, wherein each vertex is adjacent to the next. For instance, the path from 1 to 4 can be described as a sequence of adjacent vertices (1,5), (5,4).

A path, p, of length, k, through a graph is a sequence of associated vertices:

p = 0,v1,...,vk>

Cycle: A graph contains cycles if there is path of non-zero length by the graph, p = 0,v1,...,vk> such that v0 = vk.

Edge weight : It is the cost connected with edge.

Loop: this is an edge of the form (v,v).

Path length : this is the number of edges onto the path.

Simple path : this is the set of all different vertices onto a path (except possibly first and last).


Related Discussions:- Graph terminologies

Write the algorithm to find input and output value, This algorithm inputs 5...

This algorithm inputs 5 values and outputs how many input numbers were positive and how many were negative. Data to be used: N = 1, -5, 2, -8, -7

What are stored and derived attributes, What are stored and derived attribu...

What are stored and derived attributes?  Stored attributes: The attributes kept in a data base are called stored attributes.  Derived attributes: The attributes that are

Searhing and sorting algorithms, how I can easily implement the bubble,sele...

how I can easily implement the bubble,selection,linear,binary searth algorithms?

Search engines - applications of linear and binary search, Search engines e...

Search engines employ software robots to survey the Web & build their databases. Web documents retrieved & indexed through keywords. While you enter a query at search engine websit

Trees, What is AVL Tree? Describe the method of Deletion of a node from and...

What is AVL Tree? Describe the method of Deletion of a node from and AVL Tree ?

Recursion, differences between direct and indirect recursion

differences between direct and indirect recursion

Algorithm to find maximum and minimum numbers, Give an algorithm to find bo...

Give an algorithm to find both the maximum and minimum of 380 distinct numbers that uses at most 568 comparisons.

Array, extra key inserted at end of array is called

extra key inserted at end of array is called

Boar corloring, Board coloring , C/C++ Programming

Board coloring , C/C++ Programming

Adjacency list representation, Adjacency list representation An Adjacen...

Adjacency list representation An Adjacency list representation of Graph G = {V, E} contains an array of adjacency lists mentioned by adj of V list. For each of the vertex u?V,

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd