A graph G has the degree of each vertex is ≥ 3 say,deg(V) ≥ 3 ∀ V ∈ G such that 3|V| ≤ 2|E| and 3|R| ≤ 2|E|, then the graph is said to be ________ (R denotes region in the graph)(a) Planner graph(b) Polyhedral graph(c) Homomorphic graph(d) Isomorphic graphThe question was asked at a job interview.This interesting question is from Isomorphism in Graphs topic in chapter Graphs of Discrete Mathematics

A graph G has the degree of each vertex is ≥ 3 say,deg(V) ≥ 3 ∀

1.	A graph G has the degree of each vertex is ≥ 3 say,deg(V) ≥ 3 ∀ V ∈ G such that 3\|V\| ≤ 2\|E\| and 3\|R\| ≤ 2\|E\|, then the graph is said to be ________ (R denotes region in the graph)(a) Planner graph(b) Polyhedral graph(c) Homomorphic graph(d) Isomorphic graphThe question was asked at a job interview.This interesting question is from Isomorphism in Graphs topic in chapter Graphs of Discrete Mathematics
Answer» The correct choice is (b) Polyhedral graph The best I can EXPLAIN: A simple CONNECTED planar graph is called a polyhedral graph if the degree of each vertex is(V) ≥ 3 such that DEG(V) ≥ 3 ∀ V ∈ G and two conditions must SATISFY i) 3\|V\| ≤ 2\|E\| and ii) 3\|R\| ≤ 2\|E\|.

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