Question 3: Does the following graph has B A a) Euler path? (if so, write the path) b) Euler circuit? (if so write the circuit) c) Hamiltonian path? (if so, write the path) d) Hamiltonian circuit ? (if so, write the circuit) C

Question 3: Does the following graph has B A a) Euler path? (if so, write the path) b) Euler circuit? (if so write the circuit) c) Hamiltonian path? (if so, write the path) d) Hamiltonian circuit ? (if so, write the circuit) C

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.5: The Format Proof Of A Theorem

Problem 12E: Based upon the hypothesis of a theorem, do the drawings of different students have to be identical...

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Based upon the hypothesis of a theorem, do the drawings of different students have to be identical same names for vertices, etc.?
6) Consider the graph. State the paths or circuits or describe why it does not have the path or circuit. (a) Does it have an Euler circuit? (b) Does it have an Euler path? (c) Does it have a Hamilton circuit? (d) Does it have a Hamilton path?
solve a and b
a) List all the odd vertices of the graph.b) According to Euler’s Theorem, does the graph have an Eulerian circuit? Howdo you know?c) According to Euler’s Theorem, does the graph have an Eulerian path? Howdo you know? What is the difference between a Hamiltonian path and an Eulerian path? A person starting in Columbus must-visit Great Falls, Odessa, andBrownsville (although not necessarily in that order), and then return home toColumbus in one car trip. The road mileage between the cities is shown Columbus Great Falls Odessa Brownsville Columbus --- 102 79 56 Great Falls 102 --- 47 69 Odessa 79 47 --- 72 Brownsville 56 69 72 --- Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each vertex. Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in…
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I. Multiple Choice: Choose the best answer to the following questions. 1. A graph is 2-colorable if and only if it has no circuits that consists of an odd number of vertices. 2-colorable puzzle b. Suduko puzzles c. 2-colorable graph theorem d. four-color theorem 2. Is a path that uses every edge in the graph exactly once but it does not start and end at the same vertex. a. Hamiltonian graph b. Euler graph c. graph color d. none of these 3. A graph is called _if it has vertices but no edges and its degree is 0.. b. null c. loop a. zero d. simple graph 4. A graph with no loops and no multiples edges is called ? a. Null graph b. Simple graph 5. A set of points called vertices and line segments or curve called edges that connect vertices. a. Graph Theory 6. If two or more edges connect the same vertices. a. Connected edges b. Complete graph 7. A connected graph in which every possible edge is drawn between vertices. a. Connected graph b. Complete graph 8. Can be thought of as a movement…
Does the following graph have a Hamiltonian circuit? b a C e f This graph has the following Hamiltonian circuit: a bce fdga. This graph has the following Hamiltonian circuit: a bc d gfe a. This graph has the following Hamiltonian circuit: a bc de f g a. This graph does not have a Hamiltonian circuit.
Plz answer both the question in 20 minutes
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 attached