GEOG 3LT3 Lecture Notes - Lecture 13: Network Planning And Design, Store Manager

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GEOG 3LT3
November 2,, 2016
Slides: Measurement of Networks 1: Network autocorrelation
C =
0100010 (=2 – see example* below)
1010000
0101110
0010100
0011010
1010101
0000010
C2=
2020101
0201100
2041211
0112120
1121311
0212140
1010101
C3=
0413260
4061312
1646691
3162522
2365471
6192729
0212140
-The power of the matrix gives you the various different ways in which two nodes can connect.
-If you sum across the rows, you have a value for the way in which a certain node can connect to
another node.
-Example*: for the first row of C, the value is 2 (1+1). This means that this node can reach 2
other nodes.
-The matrix allows you to obtain a summary of how many different ways nodes can reach other
nodes. This gives you a measure of connectivity. All of the possible nodes can be included within
a matrix.
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Document Summary

The power of the matrix gives you the various different ways in which two nodes can connect. If you sum across the rows, you have a value for the way in which a certain node can connect to another node. Example*: for the first row of c, the value is 2 (1+1). This means that this node can reach 2 other nodes. The matrix allows you to obtain a summary of how many different ways nodes can reach other nodes. All of the possible nodes can be included within a matrix. Matrix t = the summation of c to the power of k. This is the shortest path between two nodes. To calculate the matrix of t you must use the summation (3) of c to the power of k. this is equal to c + c2 + c3 (as listed above). This is the sum of the 3 c"s to give you matrix t.

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