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The sum of an n-node graph and its complement graph produces a graph called _______(a) complete graph(b) bipartite graph(c) star graph(d) path-complement graphThe question was posed to me at a job interview.The doubt is from Different Path in a Graph in section Graphs of Discrete Mathematics

Answer»

Right answer is (a) complete graph

The best I can EXPLAIN: Suppose, the complement G’ of a graph G is known as edge-complement graph which consists of with the same vertex SET but whose edge set CONTAINS the edges not present in G. The graph sum G+G’ on an n-node graph G is called the complete graph SAY, KN.



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