QUESTION 13 Total number of hamiltonian circuits of the complete graph K is 12 circuits 48 circuits 36 circuits 24 circuits

Q: (a) (b) 5 1 a f d m 5 b h k h 2 3 Determine which of the graph have Euler circuit, Euler trail,…

A: Given: Graphs To determine: Which of the graph will have Euler circuit, Euler trail and Hamiltonian…

Q: Question 7 Locate all cliques in each of the directed graph. P3 P, Ps

A: Given:   Directed Graph is given.

Q: 3 dimensions (2,3,1)

A: In this question, the concept of the graph is applied. Graph The graph of a function is the…

Q: Which of the graph/s above contains an Euler Trail? Which of the graph/s above is/are Eulerian?…

A: For the graph A: The given graph is not Eulerian because more than two odd degree vertices. So, the…

Q: Suppose a graph G has the following Hamiltonian Cycle: BAGDFHEJKXB a. How many vertices does G have?…

A: A Hamiltonian cycle is a closed loop on a graph where every vertex is visited exactly once. A loop…

Q: QUESTION 13 A cycle that visits every vertex of the graph exactly once is called Euler cycle…

A: A Hamiltonian cycle, Hamiltonian circuit, vertex tour or graph cycle is a cycle that visits each…

Q: 4. Highlight a Hamiltonian cycle, if possible, in each of the following graphs, or state that no…

A: To find- Highlight a Hamiltonian cycle, if possible, in each of the following graphs, or state that…

Q: 1.5⁹ Explain why the two graphs in Fig. 1.23 are not isomorphic. Figure 1.23

A:

Q: Calculus Question

A:

Q: 5. The following -t graphs indicate a moving object EXCEPT A. В. С. D.

A: In a position-time graph,the graph is considered with the following attributes,the object moving…

Q: (4) The questions on this page refer to the graph shown here: • Specify any trail/tour/cycle as a…

A: The solution to the given question is explained below.

Q: A space mission is scheduled to visit the moons Callisto (C),Ganymede (G), lo (1), Mimas (M), and…

A:

Q: 1. Does the following graph have a Hamiltonian circuit? If so, write one starting at X1. Xo X6 X4 X2

A: A Hamiltonian circuit is that which visits every vertex exactly once except the first and last…

Q: Consider the following graph G with five vertices a, b, c, d, and e: a b d e Select all true…

A: Connected graph A graph is said to be connected if there is a  path between every pain of vertices…

Q: 1. Define the following : Graph i) i) iii) iv) k-regular v) Bigraph Trail Girth

A: NOTE- As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Question 4 What is the minimum number of duplicated edges needed to create a good Eulerization for…

A: An Eulerian graph is a graph in which there is an Euler circuit. That is we can get a circuit that…

Q: Does a k6 graph have a Hamiltonian cycle?

A:

Q: 1. Draw the edges needed in order to make the following graph complete. 2. Find any Hamiltonian…

A: A complete graph is a simple graph in which every pair of distinct vertices is connected by a unique…

Q: Identify whether the following graph is Eulerian or Hamiltonian. And Why ? 1. 2. 3.

A: As per our guidelines we are supposed to answer first three parts.    Theorem : A connected graph is…

Q: Problem 9: Let H be a planar graph with n vertices and m edges, where n > 7. H does not have 7n – 14…

A: If the given planar graph does not have a cycle of length less then 7 so each face has at least…

Q: Suppose two Hamiltonian circuits are considered different if the collections of edges that they use…

A: Hamilton circuit: A circuit where every vertex must be passed only ones. Complete graph: A graph G,…

Q: If a graph G has a subgraph H with 1. ĮV(H)| = |V(G)| 2. H is connected 3. Je(H)| = |V(H)| %3D 4. Vu…

A:

Q: in graph theory 1. Every Eulerian graph is orientable graph? vice versa ? 2. Every Eulerian graph is…

A: Eulerian graphs A closed trail containing all the points and lines is called an eulerian trail. A…

Q: 6. A connected graph with four edges and four vertices has two vertices of degree two. Show that a.…

A:

Q: Question 17 Use the minimum criteria a graph must meet in order to be potentially isomor- phic to…

A: Given the graphs

Q: QUESTION 14 A simple graph that contains exactly one edge between each pair of distinct vertices is…

A: A complete graph is a graph in which each pair of graph vertices is connected by an edge.

Q: Which of the following is false? A.) Hamiltonian cycle can be converted to a Hamiltonian path by…

A: Option (B)  is FALSE . Because there exist graph that contains Hamiltonian path but does not contain…

Q: 6. Given the graph in Figure 1 below, answer the following question. Figure 1: Undirected Graph a)…

A: Remark: Euler path and circuit: Euler path in a graph G is a path that passes through every edge in…

Q: Let G be a graph with vertices v1, v2 and vz and let A be its adjacency matrix. Use the answer…

A: You have posted multiple question and has not mentioned which question to be solved. So we will…

Q: List all the odd vertices of the graph. b) According to Euler’s Theorem, does the graph have an…

A: (a) The odd vertices are the vertices that have odd degrees, that is, having odd number of edges…

Q: QUESTION 6 Graphs that are drawn differently but still represent the same graph are called. -graphs.…

A: Given question:-  Graph that are drawn differently but still represent the same graph are called…

Q: B. Graph the preimage of MNPO across the line of reflection y-4 -2(x+ 3) M' N' O' P'

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: Resource Allocation   Podunk Institute of Technology's Math Department offers two courses: Finite…

A: Let x denote the number of sections of Finite Math and y denote the number of sections of Applied…

Q: Which of the graphs below have Euler circuits? 1) II only 2) I only 3) neither I nor II 4) both I…

A:

Q: Show that if a circuit in a planar graph encloses exactly two regions, each of which has an even…

A: Consider the regions inside H, of degrees r1, r2,..., rk. Each of the ri is even by hypothesis. Let…

Q: Represent the following with a graph. MT WY NV UT co AZ NM MT ww NV co HM

A: We will construct a graph using the given diagram with the vertices as given regions.

Q: 1. Determine whether or not the graph shown is Hamiltonian. Determine also whether or not the graph…

A: A Hamiltonian path is a path which starts at any vertex of the graph and visits every vertex  of the…

Q: The graph below has alan * A B F D Euler Tour Hamiltonian Cycle Both Neither

A: This graph is both Euler Tour and Hamiltonian Cycle. Because for Euler Tour we can draw the given…

Q: 7. Find the Euler circuit Euler trail for the graphs below. Also find the Hamiltonian circuit.

A: Graphs are given , we have to find Euler circuit and Hamiltonian circuit.

Q: Which of the graphs below have Euler circuits? 1) I only 2) II only 3) both I and II 4) neither…

A:

Q: Consider the complete bipartite graph K4,3. a) Does it have a Hamiltonian path? b) Does it have a…

A:

Q: Question 13given the adjacency matrices construct the corresponding graphs

A:

Q: Which of the following is false? * Hamiltonian cycle can be converted to a Hamiltonian path by…

A: Given that: Hamiltonian cycle and Path.

Q: Question 3 Draw a complete graph with five vertices labeled A, B, C, D, and E. a. b. Find one…

A:

Q: Draw the edges needed in order to make the following graph complete. C В D А E Clear All Draw: Line…

A:

Q: 16. The graph below has an A) Euler Tour OB) Hamiltonian Cycle OC) Both D) Neither

A: The given graph is

Q: -17-16-15 -14 -13 -12 -11 -10 -9 -8 +5 Submit Question -5-4-3 12 Find an equation for the graph…

A:

Q: 6. A connected graph with four edges and four vertices has two vertices of degree two. Show that a.…

A:

Q: Question 18 If the degree of the vertex is = 1 then the node called O Isolated O Pendant O Cycle…

A: We have to find correct option.

Q: 1. Use an adjacency matrix of the graph to find the number of walks of length 1. a. Find the…

A: