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The New Network [after 2 additional links were inserted]

[The Old Network & Matrices]

N2	--------------------	N3	--------------------	N5
. \| . \| . \| . \| . \| . \|		. \| . \| . \| . \| . \| . \|		. \| . \| . \| . \| . \| . \|
N1	--------------------	N4	--------------------	N6

---------- = newly inserted links

Network Diameter = 3

Direct Connectivity Matrix (C)

	N1	N2	N3	N4	N5	N6
N1	0	1	0	1	0	0
N2	1	0	1	0	0	0
N3	0	1	0	1	1	0
N4	1	0	1	0	0	1
N5	0	0	1	0	0	1
N6	0	0	0	1	1	0

C² (Two-Link Paths between Nodes)

	N1	N2	N3	N4	N5	N6
N1	2	0	2	0	0	1
N2	0	2	0	2	1	0
N3	2	0	3	0	0	2
N4	0	2	0	3	2	0
N5	0	1	0	2	2	0
N6	1	0	2	0	0	2

C³ (Three-Link Paths between Nodes)

	N1	N2	N3	N4	N5	N6
N1	0	4	0	5	3	0
N2	4	0	5	0	0	3
N3	0	5	0	7	5	0
N4	5	0	7	0	0	5
N5	3	0	5	0	0	4
N6	0	3	0	5	4	0

Accessibility Matrix

A = C + C² + C³

	N1	N2	N3	N4	N5	N6	Accessibility of a Node S		Initial Accessibility of the Nodes (in the old Matrix)
N1	2	5	2	6	3	1	19		14
N2	5	2	6	2	1	3	19		28
N3	2	6	3	8	6	2	27		38
N4	6	2	8	3	2	6	27		20
N5	3	1	6	2	2	5	19		28
N6	1	3	2	6	5	2	19		14

Your interpretation should include an assessment of the changes in the accessibility of the 6 different nodes
-- after the two new links have been constructed.

Return to Network Exercise | Geography 207