is_proper You are to write a function is_proper (graph,color) that has two inputs: one a graph, and the other a labelling of the vertices, and determines whether or not the labelling is a proper vertex-coloring of the given graph. In other words, return the Boolean value True if it is, and False if it is not. After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (is_proper({"A": ["B", "C"], "B": ["A", "C"], "C": ["A", "B"]}, {"A": 1, "B": 2, "C": 3}), is_proper({"A": ["B", "C"], "B": ["A", "C"], "C": ["A", "B"]}, {"A": 1, "B": 1, "C": 3})) This should return True False Python Python

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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```python
is_proper

You are to write a function is_proper(graph, color) that has two inputs: one a graph, and the other a labelling of the vertices, and determines whether or not the labelling is a proper vertex-coloring of the given graph. In other words, return the Boolean value True if it is, and False if it is not.
```

After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs.

```python
print(is_proper({"A": ["B", "C"], "B": ["A", "C"], "C": ["A", "B"]}, {"A": 1, "B": 2, "C": 3}),
      is_proper({"A": ["B", "C"], "B": ["A", "C"], "C": ["A", "B"]}, {"A": 1, "B": 1, "C": 3}))
```

This should return

```
True False
```
Transcribed Image Text:```python is_proper You are to write a function is_proper(graph, color) that has two inputs: one a graph, and the other a labelling of the vertices, and determines whether or not the labelling is a proper vertex-coloring of the given graph. In other words, return the Boolean value True if it is, and False if it is not. ``` After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. ```python print(is_proper({"A": ["B", "C"], "B": ["A", "C"], "C": ["A", "B"]}, {"A": 1, "B": 2, "C": 3}), is_proper({"A": ["B", "C"], "B": ["A", "C"], "C": ["A", "B"]}, {"A": 1, "B": 1, "C": 3})) ``` This should return ``` True False ```
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