April 2016
Intermediate to advanced
604 pages
25h 38m
English
book
Analyzing and Securing Social Networks
by Bhavani Thuraisingham, Satyen Abrol, Raymond Heatherly, Murat Kantarcioglu, Vaibhav Khadilkar, Latifur Khan
Content preview from Analyzing and Securing Social Networks
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134 Analyzing and Securing Social Networks
After some algebraic manipulations (Shi and Malik, 2000), we get
min (,)min
()
,CC
ii
y
T
T
ii
CC
yD
Wy
yDy
()
=
−
Ncut
(12.3)
subject to the constraints:
• y
i
∈ {1, −b}, for some constant −b, and
• 1: y
t
D1 = 0
Minimizing
yy
yDy
DW
T
T
()
−
subject to the constraints above is NP-hard. It is important to note
here that the expression on the right side in Equation 12.3 is the Rayleigh quotient (Shi and Malik,
2000). To make the problem tractable, we relax the constraints on y, and allow it to take just real
values. The relaxed problem has the same solution as the generalized eigenvalue problem for the
second smallest genera ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.