2.1 For each of the following statements, find a graph with the required property and draw it. (a) A disconnected graph with 3 connected components and 7 edges. (b) A bipartite graph with 7 vertices and 10 edges. (c) K7

Q: The graph P3+K3+P3 is isomorphic to (P3UC3)+P3 (P3+K3)+P3 None of the other choices O P3+K3+P3…

A: The given graph is: P3+K3+P3 This graph is from the isomorphic graph. As two graph are isomorphic…

Q: e2 w e3 ei e6 es es U eg ez e4 e10

A: Given graph is

Q: Which of the following was done to the graph of -x³+4x² - 4x + 7 to obtain the graph of x³ - 4x² +…

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Q: 3. In the following, draw a graph having the given properties or explain why no such graph exists.…

A: To find- In the following, draw a graph having the given properties or explain why no such graph…

Q: Determine whether or not each of the following graphs is bipartite. If any are bipartite, are they…

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Q: A graph G is Simpien (d) It is not contains a loop. (c) It is not contain loop or multiple edges.…

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Q: 2. How many edges has each of the following graphs: (а) (5 рoints) К10: (b) (5 рoints) K,7; (c) (5…

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Q: 3. You want to spend the 60 minutes making some desserts for your 8 friends. It will take you 5…

A: Given- You want to spend the 60 minutes making some desserts for your 8 friends. It will take you 5…

Q: A starting carpenter can build a rough table in 1 hour, and a rough chair in 45 minutes. A finishing…

A: Let x represent the number of tables, and y represent the number of chairs

Q: Q#5. Consider the set of vertices V(G) = {A, B,C, D, E, F} and the set of edges E(G) = [{A, B},…

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Q: a X Q3. Find the edge cover and vertex cover in the graph above G.

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Q: A null graph is (c) A graph without edges. O (d) A graph with one vertex. (b) A graph with E(G)…

A: A null graph is

Q: 1. Determine if the graph is a complete simple graph. If it is not a complete simple graph, explain…

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Q: A B e m m -m m

A: Graph A is a Linear Graph. The function is increasing.This graph forms a straight line and the…

Q: For the graphs shown below, either exhibit an isomorphism between vertex sets or explain why the…

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Q: In a tournament, Snow beat Pheasants once, Skyscraper beat Tuna once, Snow beat Skyscraper twice,…

A: A graph is simple if it doesn't contain parallel edges or loops.

Q: G: น a X 2 W y 2

A: We know that : A Bipartite graph is a graph whose vertices can be divided into two independent sets,…

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: a.Determine whether the graph below is bipartite b. Draw the graph of K4,4

A: Given: a) A graph  To determine: a) Whether the graph is bipartite. b) Draw the graph of K4, 4.

Q: 2. Determine if the graph is a simple graph. If it is not a simple graph, explain why. K2 y Write…

A: The given graph with vertices a,b,x,y is not a simple graph.

Q: [CLO-2] Assume you have a graph with vertex set V = (A, B, C, D, E) and edge set E = (CD, CB, DA,…

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Q: 1. In the sketch below is the floor plan of a house showing the rooms and the doorways. Is it…

A: It is impossible   1. Suppose you have drawn such a line and follow      it from one room to…

Q: G8. Construct the graph where the vertices are you, your parents, and your grandparents with a…

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

Q: For the following graphs, mention the degree(s) of each vertex. 6 5 4 3 2 3 4 5 6 7

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Q: Q.2 Find the vertex point and show in graph: y=2x-4x+4

A: The given equation is a quadratic equation and as we know  that every quadratic equation forms a…

Q: Use the graph and the translation (x,y) → (x+4y+5) to answer parts a and b below. a. Enter the image…

A: Mark the all three vertices of on graph.Given data

Q: a. The complete graph K4. b. The bi-partite complete graph K3,3 ("houses and utilities")

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Q: a. Find whether the following graph is bipartite or not. Explain your answer by your own. 7 187 1146…

A: To find: Whether the given graphs are bipartite or not. A collection of graph vertices—points makes…

Q: 1. Consider the following graph: eg U5 e3 e7 es Ove e2 v3 es (b) Find all edges that are incident…

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Q: Choose all possible solutions

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Q: III. In this formula, C₁, C₂, and n are the fixed values, while x is an independent variable. When x…

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Q: ending at A. Give the total travel time of this tour. Write the tour as it would be traveled if…

A: A figure is given in which the estimated travel times between five cities A, B, C, D and E are…

Q: 3. Determine if the graph is a complete bipartite graph. Explain why or why not. y K2 Write your…

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Q: A graph G is simple if O (c) It is not contain loop or multiple edges. O (d) It is not contains a…

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Q: Proble Consider the following graphs and determine the degree of each vertex: C (i) (ii) 21. K (iii)…

A: find degree of each vertex

Q: b a d e g

A: To find the circuits with in the graph

Q: 2. For the graph shown to the right, complete parts (a) through (d). (a) Give the vertex set. (b)…

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Q: B: Fined the dual graph for Jollowing graphs the

A: Given

Q: (c) The complement of the graph:

A: The complement or inverse of a graph G is a graph G¯ on the same vertices such that two distinct…