### This function takes two inputs: one a graph, and the other a coloring of the vertices, and determines whether or not the coloring is a proper vertex-coloring of the given graph

**INSTRUCTIONS TO CANDIDATES**
###### ANSWER ALL QUESTIONS

You will create two Python functions:

- is proper: This function takes two inputs: one a graph, and the other a coloring of the vertices, and determines whether or not the coloring is a proper vertex-coloring of the given graph.

Examples:

is_proper({“A” : [“B”, “C”], “B” : [“A”, “C”], “C” : [“A”, “B”]}, {“A” : 1, “B” : 2, “C” : 3}) should return True

is_proper({“A” : [“B”, “C”], “B” : [“A”, “C”], “C” : [“A”, “B”]}, {“A” : 1, “B” : 1, “C” : 3}) should return False

- greedy: This function takes two inputs: one a graph, and the other an ordering of the vertices as a list, and returns the proper vertex-coloring produced by the greedy algorithm over the ordering in the list

Examples:

greedy({“A” : [“B”,“C”],“B” : [“A”],“C” : [“A”]},[“A”,“B”,“C”]) should return {“A” : 1,“B” : 2,“C” : 2}

greedy({“A” : [“B”],“B” : [“A”,“C”],“C” : [“B”,“D”],“D” : [“C”]},[“A”,“D”,“B”,“C”]) should return {“A” : 1,“B” : 2,“C” : 3,“D” : 1}.

## Related Questions

##### Introgramming & Unix Fall 2018, CRN 44882, Oakland University Homework Assignment 6 - Using Arrays and Functions in C

DescriptionIn this final assignment, the students will demonstrate their ability to apply two ma

##### The standard path finding involves finding the (shortest) path from an origin to a destination, typically on a map. This is an

Path finding involves finding a path from A to B. Typically we want the path to have certain properties,such as being the shortest or to avoid going t

##### Develop a program to emulate a purchase transaction at a retail store. This program will have two classes, a LineItem class and a Transaction class. The LineItem class will represent an individual

Develop a program to emulate a purchase transaction at a retail store. Thisprogram will have two classes, a LineItem class and a Transaction class. Th

##### SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of Sea Ports. Here are the classes and their instance variables we wish to define:

1
Project 1
Introduction - the SeaPort Project series
For this set of projects for the course, we wish to simulate some of the aspects of a number of

##### Project 2 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of Sea Ports. Here are the classes and their instance variables we wish to define:

1
Project 2
Introduction - the SeaPort Project series
For this set of projects for the course, we wish to simulate some of the aspects of a number of