Question
Asked May 13, 2019

How many possible graphs can be created on 5 distinct vertices?

check_circle

Expert Answer

Step 1

Consider a graph of n vertices.

The line connecting any two vertices of a graph is called as an edge of the graph.

The number of edges of a graph with n vertices is,

fullscreen
Step 2

Now, we have to obtain the total number of graphs can be formed n(n-1)/2 this edges.

If the cardinality of a set is n, then the number of subsets can be formed is 2n.

We already obtained that, the number of edges of a graph with n vertices is nP2.

Therefore, the number of graphs can be formed with n vertices is,

fullscreen
Step 3

Given that, the number of vertices is 5.

Then, the possible...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Differential equations Find the particular solution to the initial value problem: (x+1)y"-(2-x)y'+y=...

A: Click to see the answer

question_answer

Q: Consider a smooth function f(x) with the following values. 3 -1 1 2 x f(x) -1 0 3 -1 (a) Write the p...

A: (a) The values of a smooth function are given as

question_answer

Q: At age 22​, someone sets up an IRA​ (individual retirement​ account) with an APR of 8​%. At the end ...

A: Application of compound interest formula to the calculation of retirement fund.

question_answer

Q: Compute Inverse of the Matrix -2 5 2 1 -3 -1 -1 2 1

A: To determine A^(-1) , with A , the given matrix

question_answer

Q: Find the point of intersection of the given pair of straight lines x - 4y = -2 x + 2y =4

A: Simplify the equation x-4y=-2 as follows.

question_answer

Q: 1. How many bitstrings of length 10 are there: a. with no restrictions? b. start with 11 or end with...

A: (i) The number of bitstrings of length 10 that can be obtained when no restriction is laid.Since eac...

question_answer

Q: Need help with Differential Equations homework. Help with 4 problems. Apply Laplace Transform to fin...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

question_answer

Q: pls explain to me step by step. pls pls dont skip any steps. thanks

A: To analyze the given system of differential equations using polar coordinates transformation

question_answer

Q: Chapter 1 Section 1.2 19. A section of a gear is shown. Given the formulas below and the circular pi...

A: Formula used: