The number of edges in a graph with 12 vertices each of degree 6 is O 72 O 1 O 12 O 36

Q: Consider the star graph ?? of order n, n-star, which is a tree on n vertices with 1 vertex having…

A: Given Sn is the star graph. According to Bartleby the solution to the first three questions is given…

Q: Draw the bipartite graph K23. How many vertices of K5, have degree 5? Degree 9? What is the total…

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Q: 1. Determine whether the following graph is Eulerian. If it is, find the Euler circuit. If it is…

A: A graph is said to be Eulerian graph if the graph is  connected has a closed trail which mean a…

Q: 1. In a complete graph with 5 vertices, how many triangles are there? (Remember: a triangle has 3…

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Q: 41. Vertex e is OA) an incident vertex OB) insecure vertex OC) isolated vertex OD) adjacent vertex

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

A: The objective is to find the values of n for which the graph Qn have an Euler circuit. Euler Circuit…

Q: When K100 and C47 share exactly 20 vertices, all of which are consecutive in C47, how many edges…

A: Total number of edges in K100 = (100*99)/2          =  4950 Total number of edges in C47  = 47 If…

Q: How many cut vertices does the path Pn has for n ≥ 1?

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Q: How many vertices and edges has each of the Platonic graphs?

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Q: 5. Find the degree of each vertex in the graph below. Hence, is there an Euler circuit? If yes,…

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Q: Consider the following figure: a. Input the degree number for each vertex Vertex Degree Vertex A…

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Q: 17. Find a path from A to A that passes through each edge exactly one time. If none exists explain…

A: An Euler circuit is a circuit that uses every edge of a graph exactly once and its starting and the…

Q: Determine whether the following statement is true or false. In the graph below, the path B, E, K, I,…

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Q: 1. Use Euler's formula to find the missing number Vertices: 15 Edges: 24 Faces: ? 09 10 O11 O12

A: If in a rigid solid F represent the number of facesE represent the number of edgesV represent the…

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: 11. Given the following graph. e a) Does this graph have an Euler circuit? If so, list one.

A: # We are entitled to solve only one question at a time ,please resubmit the other question if you…

Q: If a complete graph has degree 3 for each vertex, then how many diagonals are in the graph? * 2 O 5

A: Given graph is complete and each vertex has degree 3.

Q: 9. What is being described by "The smallest set of vertices, A, so that every vertex in the graph is…

A: Solution :-

Q: The number of vertices in K is

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Q: Consider the graphs K,, K3 and K,, in figure given below. Find and draw an Euler 3,3 (traversable)…

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Q: 10. Does the graph below have an Euler circuit? If so, find one. If not, explain why. A B FO E D

A: Given a graph : We have to check the graph below have an Euler circuit or not. We know, A circuit is…

Q: How many edges are there in a graph with 10 vertices each of degree six

A: The sum of degrees of vertices is, 6×10=60. Handshaking theorem: Let G=V.E is an undirected graph…

Q: Question 58 There exists a simple graph H with 6 vertices and 7 edges such that H has an Euler…

A: In a simple graph, only one edge exists between any two vertices. Also, each edge starts and ends in…

Q: A connected simple graph has five vertices (each of degree four). Into how many regions is the plane…

A: Given that  A connected simple graph has five vertices each of degree four.  To find The number of…

Q: 1. The vertex which is of 0 degree is called? O Internal node O Leaf O Root O None of the above

A: Vertex

Q: 1) How many possible ways are there to match or pair vertices between A and B?

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

Q: 1.1 How many simple graphs are there of four vertices? Draw all of them.

A: As per our guidlines we are supposed to solve only one question that is the first problem. For the…

Q: How many vertices will the following graphs have if they contain: (a) 12 edges and all vertices of…

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Q: If a graph G has n vertices, all of which but one have odd degree, how many vertices of odd degree…

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Q: How many cycles of length 4 (i.e. 4 edges) are in the complete graph Kg? Note: the cycle 1-2-3-4-1…

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Q: QUESTION 3 The number of edges in a tree with 16 vertices is O At least 15 O At most 15 O Possible…

A: To find the number of edges in a tree with 16 vertices

Q: 8 (Refer to the drawing in #7) Find all vertices adjacent to v5. O V3 and vi V2 V1, V2, and v3

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Q: 1. Find the degree of each vertex and then determine if there is an Euler Circuit or an Euler Path…

A: Remark: Euler path and Euler circuit: An Euler path, in a connected graph is a path that passes…

Q: Refer to the weighted graph attached, and answer the following: 1. What is the total weight of the…

A: A weighted graph is attached, and we need to  answer the following questions, 1. What is the total…

Q: 17. List all the vertices that are adjacent to vertex A.

A: This question is related to graph and figures, we will solve it using given information.

Q: 1. Which of the following has an Euler circuit? Fig. A 2. Which graphs has an Euler circuit? a b a b…

A: 1) A) Thus is not euler circuit, reason is that the vertices 0, 1, 3 and 4 are not having even…

Q: (е) а C f е

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Q: If there are 10 vertices in a tree, there must be edges. O 10 O 9 O 11 O 8

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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:

Q: Let H be the graph below: (a) How many trees, with vertex set [7], have H as a subgraph? (b) How…

A: NOTE : As per Bartleby guidelines, incase of multiple subparts, only first three are answered.…

Q: 20 8. Compute the crossing number for each of the following graphs.

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Q: A. If a simple graph G on 30 vertices has at least 301 edges, then its chromatic number is at least…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: The number of non-isomorphic simple graphs on 8 vertices, all of which have degree 2, is Select one:…

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Q: it true that the graph below must have Hamilton circuits? If so, determine the number of such…

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Q: Determine whether the following graph is complete or not. If It is complete, determine the number of…

A: Remark: Complete graph: A simple graph is called complete if there exists an edge between every pair…

Q: 71. Answer the following questions for graph G below, which was created to represent the roads of a…

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Q: Is it true that the graph below must have Hamilton circuits? If so, determine the number of such…

A: We now check whether the given graph have a Hamiltonian circuit or not. If the graph have any…