What are eigenvalues in graph theory?
Eigenvalues in graph theory are values that provide insights into the properties of a graph, particularly in relation to its adjacency matrix.
How do eigenvalues relate to the structure of a graph?
Eigenvalues can indicate various structural properties, such as connectivity and the presence of certain subgraphs.
Can you give an example of how to calculate eigenvalues for a simple graph?
Sure! For a simple graph, you can form its adjacency matrix and then compute the eigenvalues using characteristic polynomial.
What is the significance of the largest eigenvalue?
The largest eigenvalue often relates to the graph's connectivity and can indicate the presence of dominant nodes.
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