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An introduction to the concept of networks, discussing network elements such as nodes and edges, their directions and attributes. It also covers the representation of networks using adjacency matrices and lists, and calculating network metrics like graph density.
Typology: Slides
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What are networks?
points lines Domain
vertices edges, arcs math
nodes links computer science
sites bonds physics
actors ties, relations sociology
2
“Network” ≡ “Graph” node
edge
4
Ada
Cora
Louise
Jean
Helen
Martha
Alice
Robin
Marion
Maxine
Lena
Hazel (^) Hilda
Frances Eva
Edna^ Ruth
Adele
Jane
Anna
Mary
Betty
Ella
Ellen
Laura
Irene
Edge weights can have positive or negative values
inhibits another
trusting/ distrusting
another
5
Transcription regulatory
network in baker’s yeast
7
1
2
3
4 5
8
outdegree=
indegree=
degree=
i
j
B =
i
j=
k
j=
B = B T^ =
1 1
1 2
1
= 11+1
1:
2:
3:
4:
Every planar graph
has a straight line
embedding