The number of edges that need to be removed from a graph to disconnect it is called the edge-connectivity. Similarly, given a graph of genus $n>0$, there is a minimum number of edges that you have to remove to obtain a graph of genus $n-1$. Is there a name for this number?
2026-03-25 12:49:42.1774442982
Is there a name for the number of edges that need to be removed to lower the genus of a graph?
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