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

A: See the solution below.

Q: 1. Is there a connected graph whose degree are: a. 5, 3, 2, 2, 2, 1, 1

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: What is the chromatic number of the above graph? List the in groups with the same color, with the…

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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

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Q: Find the chromatic number of each of the graphs given below.

A: Chromatic number of the graph

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

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Q: How many connected components does this graph have? What is the total degree of the graph?

A: From the given graph. We say a connected component is when the number of edge is removed then the…

Q: Determine if the following simple graphs exist. If so, draw such a graph. If not, explain why it…

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Q: How many edges does this graph have?

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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,…

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Q: 3. Determine the edge connectivity and the vertex connectivity of the following graph. Explain.

A: The vertex connectivity is the minimum number of vertex required to remove from graph to make graph…

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: Determine if the following simple graphs exist. If so, draw such a graph. If not, explain why it…

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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: Construct a graph for the map given below. Determine the minimum number of colors required for the…

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Q: Below, graph always refers to an undirected graph; directed graphs are called digraphs. 1. By…

A: Note that in an undirected graph G, a proper coloring of vertices is one in which no two adjacent…

Q: What is the chromatic number of the given graph? b d

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Q: This graph G is shown below with the circles representing the vertices labeled A, B, C, and D. Which…

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Q: 2. Find the following state in USA map: Florida (FL), Georgia (GA), Alabama (AL), South Carolina,…

A: Vertex is where two or more edges meet . The degree of a vertex is the number of edges originating…

Q: Show that the two drawings represent the same graph by labeling the vertices and edges of the…

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Q: Find the chromatic numbers of the following graph Color the graph with chromatic number of colors.…

A: Given us a diagram so we can coloured it with diffrent colour since no two colour  can give to same…

Q: J A coloring of a graph is an assignment of colors (or labels) to the vertices of the graph such…

A: Given- A coloring of a graph is an assignment of colors (or labels) to the vertices of the graph…

Q: Problem 3. For the graphs below, determine the minium number of colors nccessary to color them. Give…

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Q: What is the smallest number of colors that can be used to color the vertices of a cube so that no…

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Q: I need help to answer the box letter in the graph. Please help me. C Consider the graph G: A Which…

A: The given graph G has no vertex of degree 1, but the graph in option (A) has a single degree (i.e.,…

Q: (a) Color the graph below. That is, using the smallest number of colors possible, color the vertices…

A: Now we have the given graph First, we will start at A, and fill it with the first color violet. Then…

Q: Given a graph B whose vertices have degree at most 3, show that you need at least 4 colors to color…

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Q: 28. Chromatic questions (ExH). Find the chromatic number for each graph below. (a) (b) (c) (d)…

A: To find- Find the chromatic number for each graph below.

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

A: Given:

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

A: First, we draw a graph representing the map. Vertices represent countries and edges represent…

Q: 3 7 2 8 6 (ii)

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