# Networkx Tutorial – Complete Guide

Welcome to this comprehensive exploration of NetworkX, a powerful Python library used to manipulate and understand complex networks. Whether you are looking to discover new game strategies or simply curious enough to plunge into this exciting field of study, this tutorial is the perfect starting point.

## What is NetworkX?

NetworkX is a Python package that allows for the creation, manipulation, and understanding of complex networks. It offers data structures for networks and tools to analyze them. With NetworkX, you can create nodes, edges, examine their properties, and visualize the resulting network.

## What is it used for?

In the context of game development, NetworkX can be used to model game elements as nodes and their interactions as edges. It can be especially useful in strategy games where decision-making is pivotal. Furthermore, NetworkX finds significant usage in data science, physics, mathematics, and various other fields where network analysis is required.

## Why should you learn NetworkX?

By learning Networkx, you will equip yourself with a versatile tool to analyze complex systems through network representation. Considering the wide applicability, ranging from game development to social network analysis, NetworkX serves as an essential learning component for any coding enthusiast.

Moreover, with the increasing importance of network phenomena in today’s interconnected world, those who can understand, analyze, and manipulate networks – the ones who have mastered NetworkX – will find themselves in high demand across various industries.

Now that we’ve established the what, why, and potential usage of NetworkX, let’s dive right in and get coding!

## Getting Started with NetworkX

The first step is to import the necessary libraries for our tutorial.

```import networkx as nx
import matplotlib.pyplot as plt```

Let’s start simple by creating an empty Graph. NetworkX provides several methods for graph generation. We’ll use the simplest one to create an undirected graph.

`G = nx.Graph()`

Now, add nodes to our graph. Nodes can be any hashable objects such as text strings, images, XML objects, etc. Here, we’ll use numbers.

```G.add_node(1)

We can also add a list of nodes to our graph in a single line of code.

`G.add_nodes_from([4, 5, 6])`

## Adding Edges to the Graph

Just like nodes, we can add edges which represent connections between nodes. Let’s add an edge between the nodes 1 and 2.

`G.add_edge(1, 2)`

Similarly, add multiple edges at once to our graph.

`G.add_edges_from([(2, 3), (3, 4), (4, 5), (5, 6)])`

## Visualizing the Graph

Finally, let’s visualize our graph using matplotlib. Nx.draw is a powerful tool to draw the graph with customizable node size, node color etc.

```nx.draw(G, with_labels=True)
plt.show()```

Learning to manipulate graphs using Networkx paves the way for advanced network analysis which could be instrumental in your coding journey. In the third part, we’ll delve into graph algorithms and network analysis using NetworkX.

## Accessing Graph Properties

Once we’ve created the nodes and edges, we can check their number using straightforward NetworkX functions.

```print('Number of nodes:', G.number_of_nodes())
print('Number of edges:', G.number_of_edges())```

We can also list out all the nodes and edges in our graph.

```print('List of nodes:', list(G.nodes()))
print('List of edges:', list(G.edges()))```

## Graph Algorithms with NetworkX

NetworkX also allows us to run classic graph algorithms on our network. Let’s try out Breadth-First Search (BFS), a traversal algorithm which visits nodes in a breadthward motion and uses a queue to remember to get the next vertex.

```root_node = 1
edges_bfs = nx.bfs_edges(G, root_node)
nodes_bfs = [root_node] + [v for u, v in edges_bfs]
print('Nodes in BFS:', nodes_bfs)```

## Determining the Shortest Path

One good use of graphs in game development is finding the shortest path between two nodes (such as players or objects), which is a common task in designing AI behavior or game logic. We can use NetworkX to find this path with simple commands.

```start_node = 1
end_node = 6
print('Shortest path from', start_node, 'to', end_node, ':', nx.shortest_path(G, start_node, end_node))```

## Centrality Measures

Centrality measures give us important vertices (or nodes) in the network. Computers use various measures based on many factors to determine importance such as degree, closeness, betweenness, etc. Let’s see how degree centrality can be computed using NetworkX.

```centrality = nx.degree_centrality(G)
print('Degree centrality:', centrality)```

The degree centrality for a node v is the fraction of nodes it is connected to.

## Drawing a Weighted Graph

This is a simple example of a weighted graph where the edges have weights (for example, the edge lengths or costs). Given a graph where the edges have weights, we can draw a planar layout for the graph.

```W_G = nx.Graph()

edge_labels=dict([((u,v,),d['weight'])
for u,v,d in W_G.edges(data=True)])

pos=nx.planar_layout(W_G)
nx.draw_networkx_edge_labels(W_G,pos,edge_labels=edge_labels)
nx.draw(W_G,pos,with_labels=True)
plt.show()```

Don’t hesitate to experiment with these codes and try integrating them into your game codes. The more you play around with NetworkX’s extensive features, the more adept you’ll become at it.

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## Conclusion

From understanding what NetworkX is to conducting algorithmic analysis and mapping routes, you’ve gained valuable insights into the fascinating world of network analysis which extends way beyond game development.

We are confident that this has broadened your understanding, and hope this encourages you to continue exploring more complex algorithms and applications of NetworkX. Here at Zenva Academy, we look forward to assisting you on your path to becoming a coding guru. The journey may seem challenging, yet equally rewarding. Happy coding!