<s>
Evolution	B-Architecture
of	I-Architecture
a	I-Architecture
random	I-Architecture
network	I-Architecture
is	O
a	O
dynamical	O
process	O
,	O
usually	O
leading	O
to	O
emergence	O
of	O
giant	O
component	O
accompanied	O
with	O
striking	O
consequences	O
on	O
the	O
network	O
topology	O
.	O
</s>
<s>
To	O
quantify	O
this	O
process	O
,	O
there	O
is	O
a	O
need	O
of	O
inspection	O
on	O
how	O
the	O
size	O
of	O
the	O
largest	O
connected	O
cluster	B-Algorithm
within	O
the	O
network	O
,	O
,	O
varies	O
with	O
the	O
average	O
degree	O
.	O
</s>
<s>
A	O
giant	O
component	O
can	O
be	O
designated	O
any	O
time	O
to	O
be	O
the	O
largest	O
isolated	O
small	O
component	O
,	O
but	O
the	O
difference	O
in	O
cluster	B-Algorithm
sizes	O
is	O
effectively	O
negligible	O
in	O
this	O
phase	O
.	O
</s>
<s>
At	O
any	O
moment	O
the	O
largest	O
cluster	B-Algorithm
can	O
be	O
designated	O
to	O
be	O
the	O
giant	O
component	O
.	O
</s>
<s>
Yet	O
in	O
this	O
regime	O
the	O
relative	O
size	O
of	O
the	O
largest	O
cluster	B-Algorithm
,	O
,	O
remains	O
zero	O
.	O
</s>
<s>
The	O
reason	O
is	O
that	O
for	O
the	O
largest	O
cluster	B-Algorithm
is	O
a	O
tree	O
with	O
size	O
,	O
hence	O
its	O
size	O
increases	O
much	O
slower	O
than	O
the	O
size	O
of	O
the	O
network	O
.	O
</s>
<s>
For	O
example	O
,	O
for	O
a	O
random	O
network	O
with	O
nodes	O
,	O
comparable	O
to	O
the	O
globe	O
's	O
social	O
network	O
,	O
for	O
the	O
largest	O
cluster	B-Algorithm
is	O
of	O
the	O
order	O
of	O
.	O
</s>
<s>
The	O
emergence	O
of	O
magnetic	O
properties	O
in	O
the	O
structure	O
of	O
the	O
material	O
resemble	O
to	O
the	O
evolution	B-Architecture
of	I-Architecture
a	I-Architecture
random	I-Architecture
network	I-Architecture
.	O
</s>
<s>
Particularly	O
important	O
areas	O
are	O
polymers	B-Language
,	O
gels	O
,	O
and	O
other	O
material	O
development	O
such	O
as	O
cellulose	O
with	O
tunable	O
properties	O
.	O
</s>
