For any connected graph G of order 55, if x is a vertex of G, then the number of components of G-x must be 5 9. <2 None of the other choices 6. 4- VI

Q: Disprove the following: If a graph H is a minor of a graph G , then G is a subdivision of H. .

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Q: graph G has no vertex of degree 5 or more, then χ(G) ≤ 4.

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Q: 6. Prove or disprove: If G¡ and G2 are regular graphs, then so is a) G1 + G2 b) G x G2

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Q: 16. Let G be a graph with n vertices , t of which have degree K and the others have degree K+1…

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Q: O For odd values of n>1, Kn is Eulerian. O For odd values of na 1, Kn has an Eulerian trail. ) K2…

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Q: 1. How many different G(n, p) graphs are there if we fix n and p, say n=100 and p=0.3

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Q: (h) Suppose that G is an unconnected graph that consists of 4 connected components. The first…

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Q: G || 9) List any parallel edges in G. h) List any isolated vertices in G. 1) Find the degree of each…

A: (g) e8 and e10  are parallel and e5 and e6 are parallel edges.  (h) V7 is only isolated vertex.

Q: 5. Let G be a graph with n vertices, t of which have degree k and the others have degree k+1. Prove…

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Q: For any connected graph G of order 54, if x is a vertex of G, then the number of components of G-x…

A: Given: To explain the given statement as follows,

Q: 4. For the graph represented by the drawing below, find e6 v2 e3 e2 e 10 V3 eg e7 v5 a. All edges…

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