2. For an undirected graph G = (V, E), denote by A its adjacency Aij 1 if (i, j) E E and matrix where A¡j d; be the degree of otherwise. Let node ?, that is, d; = |{(i, j) | (i, j) E E}|. Given the following graph, build its modularity matrix B where d¿d; 2\E\ . Bij = Aij 2 11 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For an undirected graph
G = (V, E) denote by
A jts adjacency
Aij = 1 if (i, j) E E and
matrix where
Aij
d;
be the degree of
otherwise. Let
d; = |{(i, j) | (i, j) E E}.
node ?, that is,
Given the following graph, build its
modularity matrix B where
d;dj
Bij = Aij
-
2|E|
11
3
10
2.
Transcribed Image Text:For an undirected graph G = (V, E) denote by A jts adjacency Aij = 1 if (i, j) E E and matrix where Aij d; be the degree of otherwise. Let d; = |{(i, j) | (i, j) E E}. node ?, that is, Given the following graph, build its modularity matrix B where d;dj Bij = Aij - 2|E| 11 3 10 2.
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