Prove and explain whether the graphs G1= {V1, E1} and G2= {V2, E2} are equal or isomorphic. You may draw an illustration to support your claim.  Given: V1= {a,b,c,d}, E1= {{a,b}, {a,c}, {a,d}, {c,d}} V2= {w,x,y,z}, E2= {{w,x}, {w,y}, {x,y}, {y,z}}

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Q: 2. Determine whether the given pair of graphs is isomorphic. v2 u2 V3 v8 u 10 u3 V 10 V9 V4 V6 44 V5

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Q: Consider the following two graphs: G1 V1 = {a,b,c,d,e, f, g} E1 = {{a,b}, {a,d},{b,c}, {b,d}, {b,…

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Q: Identify and sketch the graph of the following SURFACES. 2 = √9-y²

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Q: Use Kuratowski's theorem to prove that the following graph is not planar.

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Q: 3. Write down the neighborhood of {X, y3} in the graph given below. X2 yi X6 y2 y6 y3 V5 y4 X5 X4

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Q: draw and identify the graph of the following surfaces a. z = √9-y²

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Q: Prove that the graph below is non-planar.

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Q: Give an example of a non-planar graph that is not homeomorphic to K5or K3,3.

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