Question: 1. Let G be the graph below, with 11 vertices and 20 edges. Clearly explain why (G)=4. 2. Create a simple greedy algorithm for coloring

1. Let G be the graph below, with 11 vertices and 20 edges. Clearly explain why (G)=4.

1. Let G be the graph below, with 11 vertices and 20

2. Create a simple greedy algorithm for coloring the vertices of any graph G, ideally using as few colors as possible. Explain how your algorithm works, i.e., the order in which your algorithm chooses the vertices of a given graph, and how a color is assigned to each vertex. Need to provide algorithm, return statement.

3. Apply your algorithm from 2 to the graph in 1. Show step by step. How many colors did your algorithm use?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

colours so that for every pair \ ( u , v \ ) of adjacent vertices, \ ( u \ ) and \ ( v \ ) are assigned different colours. The \ ( \ quad \ ) of a graph \ ( G \ ) , denoted by \ ( \ chi ( G ) \ ) ,...

You$must$attach$this$cover$page$to$the$front$of$your$HW$or$you$will$lose$5$points.$ $ $ APMA$1860$Homework$2$ $ $ First$Name:$____________________________$$$Last$Name:$______________________________$...

4. Let G be a graph on n labeled vertices 1, 2, ...,n. We can describe Gusing m = O(n) bits. Let S denote the set of permutations o of {1, 2, ..., n}. We denote by o(G) the result of relabeling the...

1. Finding a small coloring Let G be a graph of n vertices with chromatic number (G). Suppose that you cannot directly access G. Fortunately, you can access G via an oracle that behaves as follows....

The Assignment Write a program that reads, from the standard input, a description of a weighted graph with integer weights, in the input format shown below. Then the program should write, on the...

Write a program that reads, from the standard input, a description of a weighted graph with integer weights, in the input format shown below. Then the program should write, on the standard output:...

The Assignment Write a program that reads, from the standard input, a description of a weighted graph with integer weights, in the input format shown below. Then the program should write, on the...

Write a C++ program that reads, from the standard input, a description of a weighted graph with integer weights, in the input format shown below. Then the program should write, on the standard...

5 . A \ ( k \ ) - coloring of a graph \ ( G = ( V , E ) \ ) is a mapping \ ( f: V \ rightarrow \ { 1 , 2 , \ cdots , k \ } \ ) . That is , the mapping \ ( f \ ) associates with each node in \ ( V \ )...

How could a grocery store use inventory to increase the responsiveness of the companys supply chain?

Describe the three forms of core technology. Tell about the differences in organizational structure that occur in firms with each of the three types.

The most relevant risk for a stock when it is held in a diversified portfolio is its Group of answer choices market risk. standard deviation. default risk. company - specific risk.

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

In Visual Studio 2017 with an open OLAP Cube, what is the connection to an advanced OLAP viewer?

What is the main benefit of the multidimensional framework of OLAP Cubes?

Provide an example of how the sort level Unspecified can be excluded from the Gender Dimension in a Pivot Table worksheet genderwaggap01.