(Solved): In graph theory, we say that an edge is  In graph theory, we say that an edge is incident to a ...

In graph theory, we say that an edge is 

In graph theory, we say that an edge is incident to a vertex if it touches said vertex (for example, the edge \( \{A, B\} \) is incident to both vertices \( A \) and \( B \) ) Given a graph \( G=(V, E) \) and a cost \( c_{v} \) associated with each vertex \( v \in V \), a Vertex Cover of \( G \) is subset \( S \) of vertices such that every edge in \( E \) is incident to at least one vertex in \( S \). Formulate the problem of identifying a minimum cost vertex cover as an IP.