Purchase Solution

The answer to Randomly Eulerian Graphs

Not what you're looking for?

Ask Custom Question

Let G be a graph that is randomly eulerian from a vertex v. Show that if deg u = Delta(G)"max degree in G", then G is randomly eulerian from u.

Purchase this Solution
Solution Summary

Randomly Eulerian Graphs are investigated. The solution is detailed and well presented. A graph is presented.

Solution Preview

Proof that if graph G is randomly Eulerian from vertex V and there is another vertex U such that deg(U) = Δ(G), then G is ...

Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

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

Solving quadratic inequalities

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

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

View More Free Quizzes
Related BrainMass Solutions

  • Eulerian Graphs

    The sketch in the attached jpg file contains examples of Eulerian graphs with 0, 1, 2, and all vertices being randomly Eulerian. The randomly Eulerian vertices are marked in red, the non- randomly Eulerian vertices are black.

  • Randomly Eulerian Graphs

    Randomly Eulerian Graphs are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

  • Eulerian Graph

    We have examples of Eulerian graphs with N_{RE} = 0, 1, and 2 randomly Eulerian vertices in posting 145698, so we only need to prove that if a graph has N_{RE} > 2 randomly Eulerian vertices then all its vertices are randomly Eulerian.

  • Forests and Eulerian Graphs

    145701 Forests and Eulerian Graphs Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F.

  • Eulerian and Non-Eulerian Graphs

    28684 Eulerian and Non-Eulerian Graphs Let G be a connected graph that is not Eulerian. Prove that it is possible to add a single vertex to G together with some edges from this new vertex to some old vertices so that the new graph is Eulerian.

  • Eulerian Graphs

    145699 Eulerian Graphs: Odd or Even Vertices Let G be a graph. The line graph L(G) of G is defined to be the graph whose vertices are the edges of G and where two vertices of L(G) are adjacent if the corresponding edges of G are adjacent.

  • Double Eulerian tour

    This is a proof regarding connected graphs and double Eulerian tours.

  • Graphs : Eulerian Trails

    28682 Graphs : Eulerian Trails 1. We noticed that a graph with more than two vertices of odd degree cannot have an Eulerian trail... (please see the attached file). Please see the attached file for the complete solution.

  • Graph Theory and Parse Tree

    Answer to 590945 Graph Theory and Trees 1. Path Analysis Here is a Question for you: For the diagram below find all the "simple paths" from A to F. 2. Note a Hamiltonian circuit visits each vertex only once but may repeat edges.

View More Related Solutions