Which of the graphs has 4 as its chromatic number? a. graphs 1 and 2 only b. graph 2 only c. graph 1 only d. graphs 2 and 3 only e. graph 3 only f. graphs 1, 2, and 3

Q: 1. Find the smallest number of colors needed to color the faces of the following graph properly.…

A: To find the minimum number of colors needed to color the faces of the given graph.

Q: Decide whether the following statement is true of false. Prove your answer: If two graphs have the…

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Q: Graph Hhe following Civnacons with Inner lap (r= trcaso)

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Q: A Triangle Graph, Tn, is a graph where there are n vertices beside each side of a triangle. Thesen…

A: If n is the number of vertices in a graph,Then the number of edges is C2n=n(n-1)2…

Q: Question 3 Draw a diagram representing the graph with the following vertices and edges V = {A, B, C,…

A: A graph is defined as a mathematical figure of a network and it shows the relationship between lines…

Q: Find the chromatic number of each of the following graphs. Give a careful argu- ment to show that…

A: Let the colors be labelled as 1, 2,3, ... . To find the chromatic number, assign color to the…

Q: What is the chromatic number of each graph?

A: Introduction: The chromatic number of a graph G is the least number of colors required to color all…

Q: Use the figure below to answer the following question. В B A A B D DO GO DE G OE Graph 1 Graph 2…

A: A graph is said to be an Euler graph if it contains an Euler Tour. A tour in a graph is a closed…

Q: 3. Draw and shade Venn diagrams using the graph below. P =A =B

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Q: H E What is the chromatic number of this graph?a 2 b3 c4 B A D C a O O

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Q: What is the chromatic number of this graph?

A: Given a graph. To find the chromatic number.

Q: B/ color the following graph and given its chromatic number.

A: A graph is given. We need to color the given graph and find the chromatic number of the given graph.

Q: 7. х-ахis y B C A D

A: Solution-

Q: Question 15 Given graph, for the vertex "a", deg"(a) =3 and deg*(a) = 2. b a d

A: Given, Graph, For vertex (a) , degree(-) (a) =3 , degree (+) (a) = 2

Q: Graph the fuuctron

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 6. DETAILS AUFEXC4 5.4.017. Determine (by trial and error) the chromatic number of the graph. Submit…

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Q: Give an example of a graph with an infinite number of vertices that has a finite chromatic number.…

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Q: What is the chromatic number of the following graph? B A H G E F 1. O 4 2. О 5 3. О З 4. O 2

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Q: Determine the sum of the in-degrees and out-degrees of each graph shown in Figure 1. Show the…

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Q: 22. Draw the graph of triangle ABC with vertices A(-4,-2), B(-1, –2) and C(-1, –4), using values for…

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

Q: What is the chromatic number of the following graph? explain 8. 8. 9. of these options 10

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Q: Which dilalion is shown by this graph? O A. DI (AXYZ) А. O B. D3 (AXYZ) O C. D. (AXYZ) O D. D2…

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Q: Label each vertex with proper colors (or numbers) and provide the chromatic numbers of each of the…

A: Chromatic number of graph:  The chromatic number of a graph is the minimal number of colours needed…

Q: What will be the chromatic number of the following graph? a. 1 b. 5 c. 4 d. 2

A: To Determine :-  The chromatic number of the following graph :

Q: What is the chromatic number of each graph? ← ← → -

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Q: (a) Find the chromatic number for the graphs A, B, C, D, G, and H: 6 9 A B (b) Classify all graphs…

A: Let GV,E be a graph with vertex set V and edge set E. Assign exactly one color to each vertex of the…

Q: An edge of a connected graph is called a bridge if deleting the edge causes the graph to no longer…

A: Hint: An edge of a graph is called a bridge if deleting the edge makes the connected graph…

Q: Which of the graph has 3 as its chromatic number? a. graphs 1 and 2 only b. graph 2 only c. graph 1…

A: A graph G is an ordered pair V(G), E(G) consisting of a non-empty set V(G) of vertices and a set…

Q: what quadrant on a graph would the points (1,5) and (-2,6) be located at

A: topic- graphs and quadrants

Q: Consider the following pairs: (1,2), (2,-2), (3,1), (-2,1), (-3,-2), (1,1) Nhich of these pairs is…

A: Answer and explanation is given below...

Q: In the graph on the left, band c are adjacent vertices e a True False

A: Remark: In a graph, two vertices are said to be adjacent if they are joined by an edge.

Q: n the following graph, if the light blue colored sector contains 21 % of observations and the total…

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Q: What is the chromatic number of each graph? ▶ D →

A: Solution for graph Chromatic number: Chromatic number of the graph is the smallest number of colors…

Q: 4. How many edges in the union of the graphs in Fig.1 and Fig.5? a) 25 b) 23 c) 21

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Q: The chromatic number of vertex coloring in the graph below is ... В D F A E C 1. O 2 2. О 4 3. ОЗ 4.…

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Q: Fig.3 Fig.4 Fig.5 vs Fig.6 Fig.7 1. Find the number of vertices and the number of edges of the graph…

A: We will us figure 5 to calculate the number of vertices and number of edges in the given graph.

Q: What is t

A: 1. Given,

Q: Question 8 Consider the following graphs, each with vertex set V = {1, 2, 3, 4, 5, 6}, G1 = (V, E1),…

A: The given question is related with graph theory. Consider the following graphs, each with vertex set…

Q: The amount of electricity used in a typical all-electric home is shown in the circle graph. If, in a…

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Q: Question 1. Which of the following graphs are trees? "M d) f)

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Q: 5. What is the chromatic number of the below graphs:

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Q: 2. Which graph represents sec 87

A: The trigonometric ratio sec(θ) is defined as the reciprocal of the ratio cos(θ).

Q: 4. Draw the following graphs:

A: Part b,Given,           fx=x2       if x<13-x  if x≥1

Q: What is the chromatic index of each graph? P10 2 C8 2 C15 3 K13,14 K9 ← FI A

A: We know the definition of Chromatic index of a graph ,  Let G be a graph. Chromatic index of a graph…

Q: Find the chromatic number of each of the following graphs. Give a careful argument to show that…

A: The given graph is:

Q: What is the chromatic number of the following graph? A H D E F

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Q: The chromatic number of the given graph is (a) 2 (c) 4 (b) 3 (d) 5

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Q: Find the chromatic number of the given graphs.

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Q: Find the chromatic number of the ff. graph:

A: This problem can be solved by Greedy Algorithm.

Q: Which of the following is Eulerian graph? a. Graph F b. Graph E c. Graph B d. Graph C O a Ob

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