Mathematics Homework Solutions
Problem
#224145

Determine if the given graph is a tree, and number of trails to be constructed between houses in a primitive community.

1. Determine if the attached graph is a tree. Please refer to Q1 in the attached Trees.pdf for the graph.

2. As few trails as possible, are to be built between houses in a primitive community so that it is possible for a resident to go from any house to any other. If there are 34 houses, how many trails need to be built?

Since it is considered bad luck to live at the end of a trail, can the trails be constructed so that no house is so situated?

3. Create a graph identical to the graph in Q3 in attached Trees.pdf, in a format that allows editing the graph easily.

Attached file(s):
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Trees.pdf  View File

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Trees.pdf
1. Determine if the following graph is a tree?




2. As few trails as possible are to be built between houses in a primitive community
so that it is possible for a resident to go from any house to any other. If there are
34 houses, how many trails need to be built? Since it is considered bad luck to
live at the end of a trail, can the trails be constructed so that no house is so
situated?



3. Need the following graph in editable format, i.e. xls, doc, etc. Need to somehow
create a graph identical to one below, however I need it to be done in a format I
can edit (the picture I cannot edit). Thx

Solution Summary

Answers are well justified, and answer to primitive community question is explained in detail.

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