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A complete graph is an undirected graph where each vertex is connected to every other vertex by an edge. Consider a complete graph = (
A complete graph is an undirected graph where each vertex is connected to every
other vertex by an edge. Consider a complete graph
with
vertices where an edge
weight
is defined on each edge. As additional input, you are given two positive integers
and
Consider the following problem: given these inputs, is there a set of vertices of size
such that for each pair of vertices in this set, the edge connecting them has weight at least
a
points
Draw an example of this problem where the answer is true
and describe your
solution
b
Draw an example of this problem where the answer is false
and briefly explain
why there is no solution
c
Prove that the original problem is NP
complete using SAT
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