Purchase Solution

Discrete 47.3

Not what you're looking for?

Ask Custom Question

3. Let d1,d2...dn be .... prove that d1...dn are degrees of the vertices. (See attachment for full question).

Attachments
Purchase this Solution
Solution Summary

This solution is comprised of a detailed explanation to prove that d1...dn are degrees of the vertices.

Solution Preview

(See the attached file for the full solution).
Proof :

First, we want to show the easy part:
If are the degrees of the vertices of a tree on n nodes .
In fact, by definition, the number of edges of a tree with n nodes is n-1, and the sum of degrees of n nodes are twice the number of edges in a graph, therefore . ( This is because when counting degrees, we double count every edge, since every edge connects ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Probability - dart game

    Now, x + 1/2x = 71 1.5x = 71 x = 47.3 So, the chance that Julio would win is 47.3% The chance that Jean would win is 23.6%. This is a probability situation with a game of darts.

  • Research Paper: Major, Age and Gender

    (Hint: Determine the level of measurement for the variables in each your three hypotheses (in terms of categorical/discrete or continuous/scale).

  • Analyzing water sample data with minitab

    distribution seems to be the best fit model at α = 0.05 for suspended solid material (ppm) in water. 55.8 60.9 37.0 98.6 55.8 42.3 33.8 60.6 76.0 69.0 45.9 39.1 65.5 56.0 44.6 71.7 41.2 55.5 47.2 74.5 83.2 40.0 51.7 36.7 42.3 47.3

  • Seasonally adjusted forecast model

    2003 Fall 42.7 44.3 45.7 40.6 Winter 36.9 42.7 34.8 41.5 Spring 51.3 55.6 49.3 47.3

  • Description of Financial Ratio Analysis

    (2004) Return on Sales 1449.0/29,363.0 = 4.9 (2005) 838.0/24,710.0 = 3.4 (2004) Return on Assets 1449.0/20404.0 = 7.1 (2005) 838.0/8036.0 = 47.3 (2004) Return on Equity 1449.0/9588.0 = 1.5 (2005) 838.0/8036.0 = 1.5 (2004

  • ANOVA

    Baker's yeast: MEan Yield (%): 41.1 47.5 48.6 50.3 Temperature (C): 54 45 48 51 Brewer's yeast: Mean yield (%): 39.4 47.3 49.2 49.6

  • Probability of smokers: hospital case

    0.0414 + 0.0462 = 0.0876 Aim: Prob(smoker |disease) = 0.18 Prob(smoker |disease) = Prob(smoker and disease) / Prob(disease) = 0.0414 / 0.0876 = 0.473 Thus, the probability that a given patient is a smoker if the patient has serious illness is 47.3%

  • Representing a discrete probability distribution and continuous probability distribution

    Discrete Probability Distributions If a random variable is a discrete variable, its probability distribution is called a discrete probability distribution. Suppose you flip a coin two times.

  • Discrete Probability and Discrete Data

    520804 Discrete Probability and Discrete Data A discrete probability is the likelihood that certain discrete data will occur. What is discrete data?

View More Related Solutions