Cyclic and Acyclic Graphs
Master cyclic and acyclic graphs, harness Python & NetworkX for graph creation, and enhance visualizations with Kamada-Kawai layout.
Cyclic graph
A cyclic graph is a graph in which all nodes are part of a single cycle, meaning that it is possible to traverse the graph by visiting each node exactly once and returning to the starting node. To create this graph in Python, we can use nx.cycle_graph(n) where n is the number of nodes.
Next, we show an example of how to create and plot a cyclic graph in Python. Circular layouts, as the name suggests, position nodes along a circle or concentric circles. They are particularly useful for visualizing graphs with a central node, regular structures, or graphs where circular symmetry can emphasize certain patterns.
import networkx as nximport matplotlib.pyplot as plt# Create a cyclic graph with 5 nodesG = nx.cycle_graph(5)# Use circular_layout to position the nodes in a circlepos = nx.circular_layout(G)# Draw the graph using the positions from circular_layoutnx.draw(G, pos, with_labels=True, node_color='lightblue', font_weight='bold', node_size=800)# Show the plotplt.savefig('output/CyclicGraph')plt.show()
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