Question: A subdivision of an induced subgraph of G is an induced subgraph of a subdivision of G. True False Statement: A subdivision of an

A subdivision of an induced subgraph of G is an induced subgraph

A subdivision of an induced subgraph of G is an induced subgraph of a subdivision of G. True False Statement: A subdivision of an induced subgraph of G is an induced subgraph of a subdivision of G. This stament is True. Explanation: To understand this, You should know that- An induced subgraph GIS] of a graph G consist from a subset of the vertices of the graph (also called subdivision) S and all of the edges connecting pairs of vertices in that subset. Consider, G=(V,E) is a graph. and also consider that sundivision SC V is a subset of vertices of G. Then the vaertex set of induced subgraph G[S] is S and edge set formed of all the edges in E that have both ends point in S. Therefore, A subdivison G[S] of an induced subgraph of G may also be called as an induced subgraph of a subdivision of graph G. Do you agree that this is true for this reason? Why?

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