2. Given below is the floor plan of a house, A represents outside of the house....
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2. Given below is the floor plan of a house, A represents outside of the house. Repeat i to v from previous problem. (Don't forget vertex for the outside.) D HH B + E F A i. Draw a graph with vertices and edges. ii. Does this graph have an Euler circuit? iii. iv. V. Does this graph have an Euler Path that is not an Euler circuit? What do ii and iii mean for the driving routes and cities? Show that this graph is planar. The four color theorem says that any planar graph is four colorable i.e. any planar graph can be colored by using at most four colors so that regions sharing a common boundary (other than a single point) do not share the same color. Find the minimum number of colors used to color your graph (by the theorem it has to be less than or equal to 4.) 2. Given below is the floor plan of a house, A represents outside of the house. Repeat i to v from previous problem. (Don't forget vertex for the outside.) D HH B + E F A i. Draw a graph with vertices and edges. ii. Does this graph have an Euler circuit? iii. iv. V. Does this graph have an Euler Path that is not an Euler circuit? What do ii and iii mean for the driving routes and cities? Show that this graph is planar. The four color theorem says that any planar graph is four colorable i.e. any planar graph can be colored by using at most four colors so that regions sharing a common boundary (other than a single point) do not share the same color. Find the minimum number of colors used to color your graph (by the theorem it has to be less than or equal to 4.)
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Related Book For
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
Posted Date:
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