How many number of edges can be removed from a given completely connected graph, such that there is at least one vertex with degree D?
This is not a homework question.
My thoughts: Is the answer V - D?
2026-03-30 08:55:40.1774860940
removing edges from a completely connected graph
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Degree of any vertex in a complete graph is $V-1$. We are removing edges. If all the edges are removed from different different vertices instead of a single vertex,then we will not get degree d of a single vertex in minimum number of removals.
So we will remove the edges from only a single vertex. Your answer is slightly wrong. Answer should be $$V-1-D$$.