1) Find the degree of each vertex in the following graph

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: find each of the following on the graph: odd vertex, even vertex, bridge, loop, circuit, vertex of…

A: Consider the given graph.We need to find (i) odd vertices, (ii) even vertices, (iii) bridge, (iv)…

Q: How many edges would a connected planar graph if it has 13 vertices and 9 faces?

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Q: Need help with this question. Please explain each step and neatly type up. Thank you :)

A: Here are five different trees, each with a maximum degree of 3 and at least five vertices. For each…

Q: What is the chromatic number of each graph? 1

A: To find the chromatic number of each of the given graphs .

Q: Sketch an undirected graph with the following vertex degrees 3,3,3,2,1 if it exists

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Q: 3. Indicate all the possible clique and maximal clique for the following graph. QA E D

A: A clique of a graph is an included sub graph of a graph that is complete.It is one of the…

Q: Consider the following. Da (a) Give the number of edges in the graph. (b) Give the number of…

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Q: SD a strongly connected graph? D: W

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Q: b a d

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Q: II. Draw a complete bipartite graph as: - K26 K4 3

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Q: 2) For the following graph, determine the minimum degree, and total degree of the vertices.

A: For the given graph, We have to determine the minimum degree and total degree of the vertices.  We…

Q: For each of the following characteristics, draw a graph or explain why such a graph does not exist.…

A: Given Data: Let us consider the given characteristics,draw a graph or explain why such a graph does…

Q: Consider the following graph. V5 (V3 V4 V2 eg V6 V1 Compute the degree of each vertex. V1 V2 V3 4 V5…

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Q: Which graph has a matching?

A: We use definition of matching.

Q: The number of edges for a complete graph K6 is O 20 O 30 O 15 O 10

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Q: How many faces does the below planar graph contains?

A: A planar graph :

Q: If G1 is a simple graph with 20 edges and G has 25 edges, how many vertices does G1 have?

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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: Assume we have the graph as shown in Figure 8. Show the vertex list of the graph.

A: The graph given in the figure is a graph on 6 vertices and has 5 edges.

Q: 2. From the graph in Figure 2 state the degree of each vertex. Figure 2: Graph for Problem 2

A: The degree of a vertex is the number of edges connecting it.   The degree of a vertex is equal to…

Q: B A D C

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Q: Determine whether the graph is even,

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Q: B2. a. Draw four graphs such that each graph contains a cycle of length 3, 4, 5, and 6 respectively.…

A: We have to draw four graphs so that each graph contains a cycle of length 3, 4, 5 and 6…

Q: V2 V, V5 V7 6.

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Q: The number of edges in a graph with 8 vertices each of degree 5 is 10 O 20 O 7 O 40

A: We have to determine the number of edges in the graph with 8 vertices of degreee 5 .

Q: а. What is the degree of vertex B? A C В D

A: We will find out the degree of vertex using definition.

Q: 1. Find all 6 subgraphs of the following graph. 22 O

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Q: b a d e g

A: To find the circuits with in the graph

Q: shortest path to any other vertex?

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Q: What is t

A: 1. Given,