1. Determine whether the graph below is a bipartite graph. If it is a bipartite graph, identify sets of V, and V, in the chart. Hint: Find every edge and what letters the edge connects. b d Is the graph a bipartite graph? Why or why not? Write your response below:

Q: State the answer using combinations. c) The number of edges in the complete graph K21. d) How many 7…

A: We will answer only part c, d and e because you have mentioned to solve only these three.   Complete…

Q: 1. Determine whether the graph below is a bipartite graph. If it is a bipartite graph, identify sets…

A: A graph G is said to be bipartite if the vertex set of G can be partitioned in to two subsets, say…

Q: 3. Find the matching number of the following graph. Justify your anwer. V2 V6 V3 V7 v5 VA

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Q: Consider a 4-regular undirected graph that has 5 vertices. How many edges are there?

A: Concept:

Q: Let a graph have vertices S, T, U, V, W,X, Y and edge set {{S, V}, {S, X}, {U, W}, {U,X}, {V,X},{V,…

A: Given vertices of graph are S, T, U, V, W, X, Y  and edge set { {S,V}, {S,X}, {U,W}, {U,X}, {V,X},…

Q: Sophia is randomly drawing simple graphs with 5 vertices. What is the minimum number of graphs…

A: Maximum number of edges in a simple graph is 52=10. Thus, the graph can have 10 different…

Q: How many graphs are there with just one vertex? а. О b. 1 C. infinite d. 547

A: There is only one graph with one vertex and there is no edges. The graph is that vertex itself with…

Q: Consider the graph given above. a. How many vertices does the graph have? b. What is the degree of…

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Q: 26. How many edges are there in a graph with 10 vertices each of degree six? (a) 10 (b) 20 (c) 30…

A: We need to determine the number of edges in a graph that has 10 vertices each of degrees 6. We will…

Q: 17. How many edges has each of the complete bipartite graph K5,13? A. 65 B. 75 C. 55 D. 45

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Q: Consider the following graph: A B E D How many vertices are there? How many edges are there? What is…

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Q: 18. What is the maximum number of edges for a simple graph with 8 vertices? O 26 О 31 O 30 28

A: The formula for this I believe is n(n-1) / 2 where n = number of vertices

Q: 45. What is the connectivity (size of the smallest separating set) of the graph G? A. 3 B. 4 C. 5 D.…

A: Sol

Q: Which among the graphs is more convenient to use? BAR GRAPH or PIE GRAPH?

A: Pie graph become confusing when there are many distributions. Also, it becomes very difficult to…

Q: If the sum of the degrees in a graph is 18, then the number of edges is _____   a. 7     b. 9…

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Q: 5 8 3 4

A: The objective is state whether the graph is a bipartite graph.

Q: 3. Check whether the following is a bipartite graph or not? Give reasons for your answer. b a f

A: We know that every bipartite graph is 2-colorable. So, if the above graph cannot be colored using…

Q: A) What is the number of faces? B) What is the number of vertices? C) What is the number of the…

A: We have given a hexagonal prism . We have to determine its number of faces, number of vertices and…

Q: Determine the degree of each vertex of the graph below: vertex degree (a) What is the sum of the…

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Q: The edges in a graph can be drawn as straight or zigzag lines. Select one: O True O False

A: A graph is a collection of edges and vertices. Any two vertices can be joined either by straight…

Q: hav

A: Introduction: The undirected graph is the subject of the handshake lemma. An even number of vertices…

Q: Based on the graph below, what type of edges are eg and e,? e3 es eg e10 b. e12 e6 es e7 S a…

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Q: Let a graph have vertices q, r, s, t, u, v and edge set {{q, s}, {r, v}, {s, v}, {t, u}} . On paper,…

A: Given: A graph has vertices q, r, s, t, u, v and edge set q, s, r, v, s, v, t, u. To find: a) Degree…

Q: How many possible ways can you draw a graph using 5 vertices? Show all steps of your calculation.

A: To find the number of possible ways to draw a graph using 5 vertices.

Q: a. Find whether the following graph is bipartite or not. Explain your answer by your own. 7 187 1146…

A: To find: Whether the given graphs are bipartite or not. A collection of graph vertices—points makes…

Q: Determine the number of vertices, the number of edges, and the balance of the graph below. About 2…

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Q: 7. An undirected graph is called complete if every vertex shares and edge with every other vertex.…

A: Given: Prove how many edges does the complete graph have with n vertices.

Q: Mario's company makes unusually shaped imitation gemstones. One gemstone had 12 faces and 10…

A: Use Euler law

Q: 16. How many edges has each of the complete graph Kso? A. 1235 B. 1245 C. 1225 D. 2450

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Q: 3. How many vertices and how many edges do each of the following graphs have? | a) K4 a. C. c) W.

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Q: What is the maximum number of edges of an undirected simple graph with n vertices? Assume it is…

A: To find the maximum number of edges in an un-directed simple graph with n vertices.

Q: 3. Determine if the graph is a complete bipartite graph. Explain why or why not. y K2 Write your…

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Q: 3. For the graphs below, determine (a) the number of edges in the graph, (b) the number of vertices…

A: Hello, thanks for your question but according to our policy I am answering the first three subparts…

Q: 13. Referring to the following graph. Find the number of Edges.

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Q: What is the number of edges and the degree of each vertex in a complete graph of a) n=15? b) n=19?…

A: We have to  find degree of  each vertex and number of edges of complete graph.

Q: 3 7 2 8 6 (ii)

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Q: 10. Determine whether the given graphs are bipartite or not. а. b. b d

A: Graph theory, bipartite graph

Q: (b) A planar graph has 10 edges and its dual graph has j edges, for some integer j. What is this j?…

A: Use the properties of planar graph and their dual graphs. Use the relation between the number of…

Q: Refer to the graph attached, and answer the following 1. How many vertices are there? 2. How many…

A: A graph is attached, and we need to find answer to the following questions. 1. How many vertices are…

Q: OD

A: Remark: A path in a graph is a sequence of vertices with the property that each vertex in the…

Q: How many edges does a complete graph K„ have? Prove / explain your answer.

A: The complete graph Kn is a graph with n vertices such that every there is exactly one edge between…

Q: 6. Þescribe each graph below. Explain how many vertices and how many edges it has, and if it is a…

A: Graph theory

Q: In a complete graph, if number of edges are 10, then the graph is: K2 K5 Kg K10 A Moving to another…

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Q: 2. Recall your knowledge of planer/bipartite/m-color graph and attempt the following questions: a.…

A: A planar graph is a graph that has no two edges crossing each other. That means the edges of the…

Q: Draw a complete graph K, Explain, what is the sum of degree count of all vertices in the complete…

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Q: A graph has 30 edges. The sum of the degrees of all the vertices of this graph is 180 40 60 50

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Q: (a) Draw a simple graph (no loops or multiple edges) with vertex degrees 3,3,3,3,4,4,4,6. (b) How…

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Q: Q3) Imagine that you have a complete graph with 10 vertices. What is the degree of each vertex? How…

A: For a complete graph with n vertices: The degree of each vertex is n-1 . The number of edges is…