Ch 7 Notes - Chapter 7 Fredonia State wants to build an...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 7
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Fredonia State wants to build an underground walkway to make it easier for students to get to their destinations especially on those cold, rainy or snowy days. The goal is to come up with a system that would allow students to walk underground to each site, but would require the fewest number of yards to construct. Fenton Steele Campus Center Thompson Library Less construction, less $$
Background image of page 2
T F C L S After doing some research, the college grounds crew created the following diagram depicting possible tunnel routes. The number of yards between each of the buildings is illustrated on the graph. Can you find a way to construct the tunnels so that it is possible for students to walk underground to each of these buildings? 53 68 75 126 88 71 81 102 64
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Examining Some Possibilities How many yards of tunnel will need to be constructed under this possibility? Can you see any way that the grounds crew could lessen the number of yards? T F C L S 53 68 75 88 81 64 429
Background image of page 4
If the grounds crew takes out some redundant edges, they could reduce the total yardage. By eliminating the tunnel from T to F, they could save 75 yards Likewise, by eliminating the tunnel from S to C, they could save 81 yards Hey, with fewer tunnels needed to be constructed, maybe your tuition costs will be lowered! New Total Yardage: T F C L S 53 68 75 88 81 64 A savings of 156 yards! 273
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Network: another name for a connected graph Tree: a network with no circuits (a sequence of adjacent edges that begin and end at the same vertex, each edge used only once) YES Is it a TREE? NO YES YES
Background image of page 6
Spanning Tree: a subgraph that connects all of the vertices of the network and has no circuits edges must come from the original graph Spanning Trees of a graph with N vertices must have N – 1
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/06/2008 for the course MATH 110 taught by Professor Pietro during the Spring '08 term at SUNY Fredonia.

Page1 / 23

Ch 7 Notes - Chapter 7 Fredonia State wants to build an...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online