What is the chromatic number of this graph? Find a coloring of the graph using that many colors. Explain why there is no coloring using fewer colors.

Q: Draw a graph with the specified properties or explain why no such graph exists. Graph with 5…

A: Remark: We know that the sum of degree of all the vertices in a graph must be twice the number of…

Q: in a graph What is a k-coloring ? And give examples

A: Solution :-

Q: Find the Chromatic Number of K, the complete graph on 17 vertices

A: See the solution below.

Q: If a graph has 4 vertices with degrees 1, 2, 2, 3 how many edges does the graph have. Show such a…

A: .

Q: What is the chromatic number of the graph K33, the graph with 33 vertices each connected to each…

A: We have graph K33 with 33 vertices connected to each other. So, we have a complete graph K33

Q: in a graph What is the vertex coloring? And give an examples

A:

Q: Draw a creative map and find a coloring of the map that uses the fewest possible number of colors.…

A: Step 1: Draw a creative map:   Step 2: Now draw the vertex between each country and connect them…

Q: Find the independence number, clique number, chromatic number, as well as optimal coloring for the…

A: Solution

Q: Create a map and find a coloring of the map that uses the fewest possible number of colors. Then…

A: Consider the map of the countries of a continent:   Now, draw a vertex in each country and then…

Q: What is the smallest number of colors you need to properly color the vertices of K3.3 ? That is,…

A:

Q: Draw a simple disconnected graph with 3 vertices.

A: The given problem is related with graph theory. We have to draw a simple disconnected graph with 3…

Q: At a party there were 7 boys and 6 girls. Every boy danced with every girl. Draw the graph…

A: Given: At a party there were 7 boys and 6 girls and every boy danced with every girl. To sketch: The…

Q: For the graph shown below, find a 2-coloring of the vertices or explain why a 2-coloring is…

A: Let us name the vertices in the given graph: A 2-coloring graph means we can color the vertices of…

Q: Explain what it means to color a graph, and state and prove the six color theorem.

A:

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

A: True

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: Determine (by trial and error) the chromatic number of the graph.

A: Definitions: Chromatic Number is the minimum number of colors required to properly color any graph…

Q: 4. Edge FE is adjacent to which edges? 5. Does this graph have any bridges?

A: 2) 4. Recall: In a graph, two edges are said to be adjacent, if there is a common vertex between the…

Q: bruary rch

A: Note: We are solving Q14, as you asked for the graph. Introduction: The graph is simply a…

Q: 18. If you drew a graph from this map, what would be the degree of NT be? *

A: In map NT shares boarders with WA, SA, QLD  so that in graph there is an edge between NT and WA,…

Q: If a graph has 8 vertices, then what is its order? Answer:

A: We have given a graph which has 8 vertices. We know that  Order of a graph is cardinality of…

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

A:

Q: Draw a graph:

A: Given,              f(x)=e-x22

Q: For

A: We use given hint.

Q: Suppose a graph has vertices of degree 0, 2, 2, 3 and 9. How many edges does the graph have? Provide…

A:

Q: . What is the order and size of the join of two graphs?

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

Q: what is the number of edge of Harary graph? explain to me

A: Solution:-

Q: A fictional map of the countries of a continent is given. Represent the map by a graph and find a…

A: It is given that A fictional map of the countries of a continent is given.

Q: . How many colors would you need to color a tree (the graph kind, not the leafy kind)? Give your…

A: The colors are needed to color the nodes of the following kinds of graphs Some answers may be given…

Q: At the end of the party with n people, everybody knows everybody else. Draw the graph representing…

A: Here, number of people are n. So, the number of nodes in the graph will be n.

Q: For the graph shown below, find a 2-coloring of the vertices or explain why a 2-coloring is…

A: Given:

Q: Considering the Chromatic Number of Graph, how many color is appropriate in the given figure

A:

Q: 3 7 2 8 6 (ii)

A:

Q: Directions: Show that the graph is 2-colorable by findings a 2-coloring. If the graph is not…

A: 1. To show that the graph is 2-colorable.

Q: Which statement is FALSE?   Question options:   Every bi-partite graph is 2-colorable    An Euler…

A: The main objective is to determine the false statement.

Q: (6) Check whether it is possible to draw a connected regular graph with odd number of edges and…

A:

Q: 6. Determine how many colors are needed to color the graph in the image below

A:

Q: in a graph What is the chromatic number? And give an examples

A: Solution:- In a graph, no two adjacent vertices, adjacent edges, or adjacent regions are colored…

Q: Determine (by trial and error) the chromatic number of graphs.

A: The chromatic number of the graph means the different number of colours used to colour the adjacent…

Q: Use graphs to find the set : [3, ∞) ∩ (6, ∞)

A: Given: [3,∞)∩(6,∞)

Q: Draw a creative map and find a coloring of the map that uses the fewest possible number of colors.…

A: We need to draw a map and hence coloring the with fewest possible number of colors.And hence we…

Q: Is this a planar graph? (Enter yes or no ) Given this, what is the largest possible chromatic number…

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

Q: 3. Represent the map by a graph and find a coloring of the graph that uses the smallest possible…

A: Consider the following made-up map of the countries of a continent.

Q: A department wants to schedule final exams so that no student has more than one exam on any given…

A: Each edge represents a student who is taking the classes of each attached vertex(course). Since the…

Q: Draw a cycle graph of six vertices that looks like a Hexagon. a. What is the chromatic number of a…

A:

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

A:

Q: Represent the map by a graph and then find a coloring of the graph that uses the least possible…

A: answer is in next step. please give a like !!

Q: Find the chromatic number of the given graphs.

A:

Q: Find the union of the given pair of simple graphs.

A: Concept Used:- Union of two simple graphs G1 =(V1 ,E1 ) and G2 =(V2 ,E2 )  is a simple graph with…

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

A: This problem can be solved by Greedy Algorithm.