Please solve question 2 part d only 2) XGive an example of each of the following:i)a nonsimple plane graph with its dual a simple grapha self-dual plane grapha plane graph whose each face is bounded by a trianglea plane graph on 8 vertices with its dual having just one vertexii)iii)iv)Is the following graph isomorphic to Q4? If yes, give an isomorphism from Q4 tothis graph. Otherwise, find a copy of Q3 in it.X If v is a cut-vertex of a graph G, then v is also a cut-vertex of every inducedsubgraph of G containing v. Prove or disprove.Find the maximum size of an independent set, and the maximum size of a clique inthe graph given above.d)

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X If v is a cut-vertex of a graph G, then v is also a cut-vertex of every induced subgraph of G containing v. Prove or disprove. Find the maximum size of an independent set, and the maximum size of a clique in the graph given above. d)

X If v is a cut-vertex of a graph G, then v is also a cut-vertex of every induced subgraph of G containing v. Prove or disprove. Find the maximum size of an independent set, and the maximum size of a clique in the graph given above. d)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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