Problem 2:Is the graph G below Eulerian? If "Yes", find an Eulerian Circuit staring at v₁- (markthe first edge as 1, second one as 2, etc -check the notes); if "No", please explain why.• Is the graph G Hamiltonian? If "Yes", find a Hamiltonian cycle. If "No", explain why.• Adding a new vertex v to G and joining v to every odd vertex of G. Determine whetherthis new graph is Eulerian or Hamiltonian or both or neither, and explain why.⚫ Using "Greedy Coloring" to find a coloring of G under the ordering(21, 09, 06, 04, 07, 78, 23, 210, 25, 211, 712, (2)V1V31V8V498.07V2V5V6V90011V10V12

A graph is Eulerian if it has an Eulerian circuit, which is a closed path that traverses each edge…

Answered: Problem 2: • Is the graph G below…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 4AEXP

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Welcome to Murphman’s Amusement Park! A guest of the park would like to start at the Entrance, walk along each of the midway streets (colored in grey) exactly once, and then leave at the Exit. Note that the railroad tracks are colored purple and are not midway streets. a.Draw a graph in the box above corresponding to this guest’s situation, and determine whether or not the graph has an Eulerian circuit, and if so, give one. If it does not, then explain why not. If the graph does not have an Eulerian circuit, determine whether it has an Eulerian path, and if it does, give one. If it does not, then explain why not. b. Is it possible for the guest to start at the Entrance, walk along all of the midway streets (colored in grey) exactly once, and then leave at the Exit?
1. Draw the edges needed in order to make the following graph complete. 2. Find any Hamiltonian circuit on your complete graph. Give your answer as a list of vertices, starting and ending at the same vertex. Example: ABCA IMAGE BELOW PLEASE HELP
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FOR 1-3: Consider the following graphs: 1. Which of the graph/s above contains an Euler Trail? A. A and D B. B and C C. A, B, and C D. B, C, and D 2. Which of the graph/s above is/are Eulerian? A. None of the graphs B. Only B C. Only C D. B and C 3. Which of the graph/s above is/are Hamiltonian? A. A and B B. A and C C. A, B, and D D. A, C, and D FOR: 4-8: Consider the following graph: 4. What is the minimum distance between points C and F? A. 9 B. 10 C. 11 D. 12 5. Which of the following is a Hamiltonian Circuit for the given graph? A. AIBGCDEFHA B. DICBAIHGFED C. FIBAHGCDEF D. GFEIDCBAHG 6. What is the length of the Hamiltonian Circuit described in number 46? A. 35 B. 37 C. 39 D. 41 7. Which vertex in the given graph has the highest degree? A. Vertex C B. Vertex F C. Vertex H D. Vertex I 8. Which is referred to as an edge connecting the same vertex? A. Circuit B. Loop C. Path D. Repeated Edge 9. Which of the following statements is/are true? i. The vertices of K4 all have…

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