I know that the zeroth Betti number is the number of connected components of a graph, and the first one is computed using Euler characteristics. However, I am not sure if we can compute the higher order Betti numbers.
2026-02-23 00:28:07.1771806487
How to compute the Second and higher order Betti numbers of a graph?
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The nth Betti number is the rank of the nth homology of your graph. Using cellular homology, the Betti numbers of any graph are 0 if $n>1$.