The graph G₁ has 10 vertices, all of degree 7 How many edges does C, have? 35 The graph G has 8 vertices, all of degree k. Also, G₂ has 20 edges, What is k? 8 The graph G has u vertices, all of degree 5 Also, G3 has 15 edges. What is u? 6

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

A: See the solution below.

Q: ConsideA graph with 6 vertices and 9 edges is shown. • Vertex v, is connected to vertex v, by edge…

A: Consider the given features of the graph. The graph has 6 vertices v1, v2, v3, v4, v5, v6 and 9…

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: If a graph has 5 edges, how many vertices does it have?

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Q: Tree with 10 vertices and 20 edges Graph with 20 vertices and 19 edges, but not a tree Connected…

A: In this question, we use the propeties and definition of tree to check the graph is tree or not.

Q: Total number of edges of a complete graph which has 9 vertices is None 12 edges 36 edges 18 edges

A: To find Total number of edges of a complete graph which has n vertices.

Q: We know the total degree (sum of the degrees) in an undirected graph G is equal to 66. How many…

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Q: 3. A graph G has 15 vertices and 34 edges. Five vertices have degree 7, four vertices have degree 6,…

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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: The following graph is k-edge connected. What is the value of k?

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Q: 15. (a) Suppose a graph has 5 vertices and 7 edges, and every vertex has degree 2 or 3. How many…

A: The handshaking theorem states that the sum of the degrees of all vertices in a graph is twice the…

Q: Suppose a graph, G, has five vertices with degrees 9,8,6,5,4. How many edges does G have?

A: We have to find the number of edges in graph G.

Q: A graph has 13 vertices: five vertices are of degree 5, seven vertices are of degree 4, and one…

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Q: Q1. Let T be a tree with at least 2 vertices. Then: If we delete 1 edge from T. How many are the…

A: For the solution of the problem follow the next steps.

Q: PER 2. y=2(x+4) -8 Vertex: 10 Axis of Symmetry: 8- Graph using the graphing pattern: 3-…

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Q: 3. Which graph is the rooted tree that is formed from the tree in figure K, when: • vertex u is…

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Q: The complete bipartite graph K_(n,m) has chromatic number two..* false O True

A: Remark: The chromatic number of a graph G is the smallest number of colors needed to color the…

Q: 4. Hamilton Paths and Trees (a) Consider the graph (i) Does the graph have a Hamilton cycle? Justify…

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Q: iii) Show that the sum of the degree of all vertices in a graph is an even integer.

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Q: b) An undirected graph is n-regular if all vertices have degree n. For example, the graphs below are…

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Q: In a group of 9 people, there is one people who knows 6 others, and another 3 people who know at…

A: We will solve this problem by using graph theory. Claim:- To show that there are three people who…

Q: For which values of n does the graph kn have an Euler circuit?

A: The given question is which values of n does the graph Kn has an Euler circuit. The solution to the…

Q: 11. If G is a simple graph with 4 vertices, then the maximum possible value for the sum of the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: This question concerns subgraphs of graphs. In all cases, when we say G₁ is a subgraph of G₂, we…

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Q: Consider the graph: The graph has an Euler circuit because each vertex has an even degree The graph…

A: Firstly, naming the vertex for better understand.

Q: Consider the graph with 6 vertices of degree 2, 4, 1,1, 6,3, 5. Does the graph exist? Graph does not…

A: NOTE: As given degree of 7 vertices , so we consider number of vertices as 7 ( otherwise question is…

Q: The number of edges in a graph with 11 vertices each of degree 4 is 44 O 22 O 8 O 10

A: Graph - number of edges

Q: Find the shortest path in the graph K, from f to c. 3 a 5 3 3 b 5 4 3 2 3 d The shortest path in the…

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Q: 3) Consider the following graph: E G B a) Does it have a Hamilton circuit? If so, give the circuit.…

A: Given : A weighted-graph.   To solve : The given two bits for the problem.

Q: Draw diagrams for grid graphs Gm,n that is D(Gm,n) for all Gm,n with m≤ 7 and n ≤ 7 including…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: 3) Show by example that there is a bipartite graph between A and B with N² – N edges, and no perfect…

A: For any queries please le me know through comments. I will try to reply ASAP! Please Thumbs up if…

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Q: In a graph, there are 17 edges, 3 vertices of degree 2, and all the other vertices have degree 4.…

A: We are authorized to answer one question at  a time, Since you have not mentioned which question you…

Q: The number of edges in a graph with 8 vertices each of degree 7 is O 7 O 56 28 O 14

A: We have to solve given problem: