Create a map and find a coloring of the map that uses the fewest possible number of colors. Then color the map according to the graph coloring you found. Determine its chromatic number

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

A: Solution :-

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Q: D Consider the graph given above. Add an edge so the resulting graph has an Euler trail (without…

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Q: Which of the graphs has 4 as its chromatic number? a. graphs 1 and 2 only b. graph 2 only c. graph…

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Q: Let V = {cities of Metro Manila} and E ={ (x,y) | x and y are adjacent cities in Metro Manila} .…

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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: 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…

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Q: Find the chromatic index of each graph?

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

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Q: Represent the following map with a graph. VA KY TN NC OA. Owv O B. KY VA KY VA TN NC TN NC

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Q: Consider the six bridges map. How many vertices have an odd degree in the graph that models the…

A: Mark the regions.

Q: . Find whether the graph below has an Euler trail. If it exists find such a trail.

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

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

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A: Given:

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: 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: 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: What is t

A: 1. Given,

Q: Construct a graph with vertices S, T,U,V whose degrees are 2, 0, 2, 2 What is the edge set? ST SV TV

A: Given: The vertices S, T, U, V and the degrees are 2, 0, 2, 2. To find: Graph the vertices, using…

Q: A weighted graph is a graph in which each edge is associated with a value called? Answer:

A: Solution: Given that

Q: A В

A: a) The above graph contains the circuits such as A B-G-F-A with four vertices and A-B-H-F-A with…

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Q: Use Vizing's Theorem to find the edge chromatic number of the following graph H. Select the correct…

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Q: Decide whether the pair of graphs are isomorphic or not. If they are isomorphic find an isomorphic…

A: To find- Decide whether the pair of graphs is isomorphic or not. If they are isomorphic find an…

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: 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…

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Q: a. Find the adjacency matrix for the graph given below. b. Find a coloring for the graph and state…

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Q: What is the vertex chromatic number and edge chromatic number of the graph given below

A: This is a problem of Grapg Theory.

Q: What is the edge set of the graph? АВ, АС, AD, BC, ВЕ, DE А, В, С, D, E АВ, АС, AD, AE

A:

Q: C e

A: Given: Graph with 6 vertices To find: Euler's trail or explain why the graph does not have an Euler…

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: Use shading to show the following set on the Venn diagram. (An B) U C A B Use the graphing tool to…

A: The set P∪Q contains all the elements that are present either in set P or in set Q. The set P∩Q…

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

A: This problem can be solved by Greedy Algorithm.

Q: 8. (a) A graph has six vertices, every two of which are joined by an edge. Each edge is colored red…

A: (Note: We are entitled to solve only one question at a time) To Find: a. A graph has six vertices,…