Skip to main content

Type of Graph

Type of Graph

In this tutorial, We will learn about some more variety of graph

Simple Graph

A graph is a simple graph, it is an unweighted, undirected and containing no graph loops or multiple edges

Multigraph

In graph theory, a multigraph is a graph which is permitted to have multiple edges

Isomorphic Graph

Two graphs having the same number of vertices, edges, and also the same edge connectivity but different forms are called an isomorphic graph.

Subgraph

A subgraph is a graph whose vertices and edges form subsets of the graph vertices and graph edges of a given graph. All the edges and vertices of the graph might not be present in subgraph; but if a vertex is present in the subgraph, it has a corresponding vertex in the graph and any edge that connects two vertices in subgraph will also connect the corresponding vertices in the graph. All graphs are subgraphs of itself.

Degree of Graph

The degree of a vertex of a graph is the number of edges incident to the vertex

Regular Graph

A regular graph is a graph where each vertex has the same degree or valency.

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

Comments

Popular posts from this blog

SSC Practice Problem Solution

SSC Practice Problem Solution In this post, we will discuss solution of  SSC Practice Problem . Question 1  The efficiency of (A + B) = 100/24 = (25/6)% The efficiency of (A + B + C) = 100/8 = (25/2)% The efficiency of C = 25/2 – 25/6 = (50/6)% Hence, C can alone finish this job in = 100/(50/6) = 12 days Answer: 12 days option (1) Question 2  Original price = Rs. 6000; Price after discount = 6000 – 1200 = Rs. 4800; Price after raising service contract = 4800 + 480 = Rs. 5280 Answer: Rs. 5280 option (2) Question 3  Suppose the received money by A, B, and C is respectively 5x, 6x, and 9x. 5x = 450; => x = 90; Hence, the total money = 20x = 20*90 = Rs. 1800; Answer: Rs. 1800 option (2) Question 4 Suppose the Cost price of the bag= Rs. x; Hence, x + 0.15x = 230; => x = Rs. 200; Selling price after selling on 20% = 200 + 20% of 200 = Rs. 240 Answer: Rs. 240 option (3) Question 5  The required percentage ...

Average

Average In this post, We will learn about average.  Average of any collection of data is the sum of data divide by number of data. Average = (Sum of observations /  Number of observations) Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.  problems The arithmetic mean of x, y and z is 80, and that of x, y, z, u and v is 75, where u=(x+y)/2 and v=(y+z)/2. If x ≥ z, then the minimum possible value of x is (CAT 2018) As specified in the question mean of x and y and z is 80 x+y+z=3*80 mean of x, y, z,u,v is 75 x+y+z+u+v=75*5 2u=x+y 2v=y+z x+y+z+((x+y+y+z)/2)=75*5 y+3(x+y+z)=75*10 y=750-720 y=30 since x+y+z=240 y=30 so x+z=210 since x>=z so minimum value of x=210/2 = 105 Problem2: In first 5 inings sehwag has scored at average of 40. In sixth ining He had scored 52 what is His average after 6th ining. one simple approach is getting total score divided by no of inin...

Trigonometry

Trigonometry The word ‘trigonometry’ means ‘triangle measurement’.It involves the ratios of the sides of right triangles and the angles. The main three ratios are called tangent, sin, and cosine. Being one of the most important topics for the  CAT exam , trigonometry requires the candidates to be well prepared with excessive practice to solve the related questions. There are some triangle questions which can be solved much faster if you can remember the trigonometric ratios involved, especially questions based on heights and distances. So, here is a detailed lesson on trigonometry for CAT topic along with various illustrations to help you understand the topic easily. There are three sides to a right-angled triangle which are named as follows depending on the angle.  Opposite Side The opposite side refers to the side opposite to the angle in question (θ). In this case, the opposite side is BC. Adjacent Side The Adjacent side is the side adjacent to angle...

Complex Number

Complex Number While solving the equation of the form  a x 2 + b x + c = 0 , the roots of the equations can take three forms which are as follows: Two Distinct Real Roots Similar Root No Real roots (Complex Roots) The introduction of complex numbers in the 16th century made it possible to solve the equation  x 2 + 1 = 0 . The roots of the equation are of the form  x = ± − 1 ‾ ‾ ‾ √  and no real roots exist. Thus, with the introduction of complex numbers, we have Imaginary roots. We denote  − 1 ‾ ‾ ‾ √  with the symbol i, where i denotes Iota (Imaginary number). An equation of the form z= a+ib, where a and b are real numbers, is defined to be a complex number. The real part is denoted by Re z = a and the imaginary part is denoted by Im z = b. Algebraic Operation on Complex numbers: Addition of two complex numbers Subtraction of two complex number Multiplication of two complex number Division of two complex number Power of Iota (i) ...