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NetworkSystem

Symbols

  • CyclicNet
  • NetworkSystemDisplay
  • NetworkSystemEvolutionList
  • NetworkSystemEvolutionPlot
  • NetworkSystemRule
WolframInstitute`NetworkSystem`
NetworkSystemDisplay
​
NetworkSystemDisplay[network]
gives a graphic display of
network
. Value of
network
is of the form
{{
i
1
,
j
1
},{
j
2
,
i
2
},...,}
e.t.c where
i
m
,
j
n
are nodes.
​
Examples  
(1)
Basic Examples  
(1)
Custom net:
In[1]:=
NetworkSystemDisplay
[{{2,7},{6,1},{3,4},{4,2},{6,3},{7,4}}]
Out[1]=
In[2]:=
NetworkSystemDisplay
[{{3,7},{6,1},{7,4},{4,2},{6,3},{6,4}}]
Out[2]=
Cyclic network. From NKS
page198
:
In[3]:=
cnet=
CyclicNet
[16]
Out[3]=
{{16,2},{1,3},{2,4},{3,5},{4,6},{5,7},{6,8},{7,9},{8,10},{9,11},{10,12},{11,13},{12,14},{13,15},{14,16},{15,1}}
In[4]:=
NetworkSystemDisplay
[cnet]
Out[4]=
Grid network. From NKS
page198
:
In[5]:=
gridNet[i_,tot_]:={​​Switch[Mod[i,4],​​1,Mod[i-4+2,tot],​​2,Mod[i-8+2,tot]/.0tot,​​3,Mod[i+4-2,tot],​​0,Mod[i+8-2,tot]​​],i+If[Mod[i,4]0,-2,1]​​}
In[6]:=
gridnet=Table[gridNet[i,16],{i,16}]
Out[6]=
{{15,2},{12,3},{5,4},{10,2},{3,6},{16,7},{9,8},{14,6},{7,10},{4,11},{13,12},{2,10},{11,14},{8,15},{1,16},{6,14}}
In[7]:=
NetworkSystemDisplay
[gridnet]
Out[7]=
Tree network. From NKS
page198
:
In[8]:=
treeNet[tot_?OddQ]:=MapIndexed[#&,​​Join[Partition[Range[2,tot],2],Table[{n,n},{n,(tot+1)/2,tot}]]]
In[9]:=
tnet=treeNet[17]
Out[9]=
{{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17},{9,9},{10,10},{11,11},{12,12},{13,13},{14,14},{15,15},{16,16},{17,17}}
In[10]:=
NetworkSystemDisplay
[tnet]
Out[10]=
SeeAlso
NetworkSystemRule
 
▪
CyclicNet
RelatedLinks
https://community.wolfram.com/groups/-/m/t/3420775
https://www.wolframscience.com/nks/p193--network-systems/
https://www.wolframscience.com/nks/notes-5-5--implementation-of-network-systems/
""

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