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

Q: how do i match the following graphs with the corresponding choice ? step by step please.

A: Given:

Q: Let G be a graph with n 1 vertices. (a) If x(G) = 1, what can you say about E(G), the edge set of G?…

A: Given : G is a graph with n≥1 vertices We have to answer the following : (a) If χG=1, what can be…

Q: A simple graph G on n vertices with m edges is overfull if m> [n/2]A. Show that if G is overfull,…

A: Given that: A simple graph G on n vertices with m edges is overfull if m>n2△. The objective is to…

Q: b. Construct appropriate graphs, for the given scenario. Consider that 11 people take a 10 question…

A: Given 11 people take a 10 questions test 1 student gets 10 correct ans 1 student gets 9 correct ans…

Q: Let A be the graph a e b d How many walks of length 13 are there between node a and node b? Your…

A: By using adjacency matrix the number of walks between node a and node b of length 13 are : 49661

Q: 32. All of the following graphs are Eulerian graphs EXCEPT for: A. an 8-regular graph B. the…

A: A connected graph G is called an Eulerian graph iff all vertices of G are of even degree, and a…

Q: 5. The following -t graphs indicate a moving object EXCEPT A. В. С. D.

A: In a position-time graph,the graph is considered with the following attributes,the object moving…

Q: 2. For each of the following graphs below * ** * (d) a) Construct its complement. b) Determine if it…

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Q: 1. Among a group of 5 people, is it possible for everyone to be friends with exactly 2 of the people…

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Q: Based on the following results of an experiment, how many errors would a person who drank 4 oz of…

A: Here we have given the graph between Amount of alcohol and Number of errors on drinking test. i.e.…

Q: Find the number of connected components for each of the following graphs. (a) A graph with 8…

A: (a) Given a graph with 8 vertices and 6 edges is shown. Vertex a is connected to vertex b and to…

Q: Suppose (P, Q) is the point on the graph of y=√x closest to (1, 0) what is the value of P + Q?

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Q: What are the critical points for the graph shown? 2. 1 543244 1 23 4 5 543 21

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Q: 5. Prove or disprove: Let l', and I; be two simple graphs; with V(T)| = m, E(T)=p.V(T)| =n, E(T2)| =…

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Q: 5. Find the number of connected components in the following graphs. (a) V(G) = Z. Edges: m and n are…

A: Given Data: (a) V(G)=Z  |mn|= 5  (b) V(G)=Z  |m-n|= 15 or |m-n|= 6 (c) V(G)=ZxZ  (|a-c|= 4…

Q: 3) Draw three non-isomorphic graphs of order 5 and size 5.

A: Three non isomorphic graphs of order 5 and size 5 are:

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

A: Solution :-

Q: 7. (refer to the graph below) Which graph contains Hamiltonian Circuit? For those that don’t give an…

A: The Hamiltonian circuits of the given graphs are determined as shown below.

Q: For each of the following, try to give two different unlabeled graphs with the given properties, or…

A: Tree - A connected graph with no cycle.   *Sum of degree of vertices of graph = 2 x No. of edges.…

Q: 1 Compute the exact value of the length of the graph of g(y) = 20 from y = 1 to y = 2.

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Q: There are 460 bacteria spores in a petri dish. After every two hours they are observed to be 10%…

A: Given query is to find the the function for exponential decay and then graph it.

Q: Find the invers e Fenction of nd graph (メノ)

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Q: 2. Unfortunately many people have died in South Africa due to the COVID-19 pandemic. The black graph…

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Q: 5. If G is a simple graph with d(v) 2 k, Vv € V(G), then G contains a path of length at least k. If…

A: For k = 0 the statement is trivial because for any v ∈ V the sequence v (of one term in V ) forms a…

Q: From the graph G given below identify the number of vertices and edges 6. A, 8. 4 C. O Vertices 3…

A: We have given a graph and we have to find the number of edges and vertices.

Q: (14) Let G be a graph whose vertex set is the se * k tuples with elemento in 3013, with x adjacent…

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Q: 4. Show that the following graph contracts to the Utilities Graph.

A: Given: 4) a graph To show: Given graph contracts to the utilities graph.

Q: The following two graphs are NOT isomorphic Which graph properties that are preserved under…

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Q: 1. Initially everyone is susceptible. 2. No one is born, dies, comes in or leaves. 3. Once a person…

A: The given graph shows the total number of infected individuals on a given day.  In the beginning,…

Q: 14) For each of (a)-(c) below, either draw a graph with the specified properties or else explain why…

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Q: 10.  For each of the following, draw the graph or explain why the graph cannot exist: (a) A simple…

A: Given below the detailed solution

Q: Can you conjecture a new formula for V −E+ F for graphs with exactly two pieces? Try various…

A: Let us solve V-E+F for graphs with exactly two,three and then n pieces exactly....step by step...

Q: (a) If x(G) = 1, what can you say about E(G), the edge set of G? (b) Prove that x(Km) = n, where K„…

A: “Since you have posted a question with multiple sub-parts, we will solve the first four sub-parts…

Q: 8. If the graph of h(x) goes thro following statements are true fc

A: 8) y=h(x)g =h(x)This transformation only affects y-value.A(-16, 4)y(x=-16)=4, g(x=-16)=4 =2A' (-16,…

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

A: Consider the given information. By the theorem of graph theory, the sum of the degree of a graph is…

Q: B. Graph the preimage of MNPO across the line of reflection y-4 -2(x+ 3) M' N' O' P'

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: Which of these best describes the behavior from B to C in the given graph? im A D. Olinear and…

A: We have to choose which of the given options best describes the behavior from B to C in the given…

Q: For which values of n ≥ 0 are the following graphs bipartite? a) Cn b) Wn c) Kn d) Qn

A: A bipartite graph is a graph whose vertices can be divided into two disjoint and independent sets U…

Q: 4.1.10. (1) Find (with proof) the smallest 3-regular simple graph having connectivity 1.

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Q: For which of the following does there exist a simple graph G = (V, E) satisfying the specified…

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Q: V:55) Suppose G1 = ER1(3,0.5) and G2 = ER2(3,0.5) are two ER random graphs. What is the probability…

A: Suppose G1 = ER1(3,0.5) and G2 = ER2(3,0.5) are two ER random graphs. We have to find the…

Q: Suppose (P. o) is the point on the graph of y=Va closest to (1, 0) - What is the value of P +Q? 2 O…

A: To solve the following problem

Q: For n22, construct a disconnected graph of order n and size . Make a sketch. 2

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Q: 7. Consider the following graph of S«). y

A: Definition used -                     A function f(x) is even if f(-x)= f(x) and it is symmetric…

Q: 4. Let n eN with n >1, V = Z and set E = {{x, y} : x, y E Z and |r – y| =n}. Define G, = (V, E). (a)…

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Q: he questions asked below are based on the graph: 2 -n/2 3n/2 Sn2

A: The graph of the function, kf(x) is the graph of f(x) vertically stretched (if k>1) or shrunk (if…

Q: 1. A. The number of edges in the graph-6 B. Give the number of vertices in the graph- 4 C. Determine…

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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: 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: 10.  For each of the following, draw the graph or explain why the graph cannot exist: (c) A…

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