Question: ( b ) Given a path graph G = ( V , E ) such that V = { v 1 , v 2 ,

(b) Given a path graph G=(V,E) such that V={v1,v2,...,vn}
and an edge exists between vi and vj if and only if th
numbers i and j differ by exactly 1. Each node has
positive integer weight wi. Give an algorithm to find a
independent set in G whose total weight is as large a
possible.
(b) Given a path graph G=(V,E) such that V={v1,v2,...,vn} and an

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