Let G be a graph of order n that is isomorphic to its complement G. How many edges does G have? Explain your answer. If a graph G has n vertices, all of which but one have odd degree, how many vertices of odd degree are there in G, the complement of G? Prove your answer.

Q: 1. Is there a connected graph whose degree are: a. 5, 3, 2, 2, 2, 1, 1

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A: I have given the answer in the next step. Hope you understand that

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Q: can you please provide explanations

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Q: Descrete math. Graph theory

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Q: The following graph has a chromatic number of 4 because R3 R2 R4 R1 R5 R8 R6 R7 True

A: True

Q: Let G be a graph such that every vertex has degree 4 and the number of edges is 12. How many…

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A: Given : Vertices- you, parents and grand parents Relationship- born in same state.

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A: Use the properties of planar graph and their dual graphs. Use the relation between the number of…