The Network Action Set

Example 16.11 Finding the Reach Networks of a Simple Directed Graph

Finding the Reach Networks of a Simple Directed Graph

This section contains PROC CAS code.

Note: Input data must be in a CAS table that is accessible in your CAS session. This table has a two-level name; the first level is your CAS engine libref and the second level is the table name. You refer to this table in the CAS procedure by specifying only the second level. For more information about two-level names, see Chapter 3: Shared Concepts in SAS Visual Data Mining and Machine Learning 8.3: Procedures Guide. For more information about PROC CAS and programming in CASL, see Getting Started with CASL, SAS Cloud Analytic Services: CAS Procedure Programming Guide and Reference, and SAS Viya: System Programming Guide.

This section illustrates the use of the reach action on the simple directed graph G shown in Figure 16.12.

Figure 12: A Simple Directed Graph G

A Simple Directed Graph


The directed graph G can be represented using the following links data set, LinkSetIn:

data LinkSetIn;
   input from $ to $ @@;
   datalines;
A B  A C  A D  B C  B E
B F  C E  D E  E D  E F
F G  G H  G I  H G  H I
;

Consider two sets of source nodes, and . These source node sets can be defined together as follows:

data NodeSubSetIn;
   input node $ reach;
   datalines;
A 2
C 1
H 2
;

The following DATA steps load the LinkSetIn and NodeSubSetIn data sets into CAS data tables named mycas.LinkSetIn and mycas.NodeSubSetIn. These statements assume that the CAS engine libref is named mycas, but you can substitute any appropriately defined CAS engine libref.

data mycas.LinkSetIn;
   set LinkSetIn;
run;
data mycas.NodeSubSetIn;
   set NodeSubSetIn;
run;

You can use the following statements to find the reach network that is restricted by a hop limit of 1 from both sets of source nodes:

proc cas;
   loadactionset "network";
   action reach result=r status=s /
      direction     = "directed"
      links         = {name = "LinkSetIn"}
      nodessubset   = {name = "NodeSubSetIn"}
      outReachNodes = {name = "ReachNodes", replace=true}
      outReachlinks = {name = "ReachLinks", replace=true}
      outCounts     = {name = "ReachCounts", replace=true}
      maxreach      = 1;
   run;
   print r.ProblemSummary; run;
   print r.SolutionSummary; run;
   action table.fetch / table = "ReachNodes" sortBy = "reach"; run;
   action table.fetch / table = "ReachLinks" sortBy = "reach"; run;
   action table.fetch / table = "ReachCounts" sortBy = "reach"; run;
quit;

The problem summary output from this action is presented in Output 16.11.1.

Output 16.11.1: Problem Summary

Problem Summary
Number of Nodes9
Number of Links15
Graph DirectionDirected


The solution summary output from this action is presented in Output 16.11.2.

Output 16.11.2: Solution Summary

Solution Summary
Problem TypeReach
Solution StatusOK
CPU Time0.00
Real Time0.00


The output data tables ReachNodes, ReachLinks, and ReachCounts now contain the nodes, links, and counts of the reach networks, respectively, that come from and . They are shown in Output 16.11.3 through Output 16.11.5.

Output 16.11.3: Reach Networks (Nodes) for and with Hop Limit of 1

Selected Rows from Table REACHNODES
_Index_reachnode
11E
21C
32B
42C
52D
62G
72H
82I
92A


Output 16.11.4: Reach Networks (Links) for and with Hop Limit of 1

Selected Rows from Table REACHLINKS
_Index_reachfromto
11CE
22AC
32AD
42BC
52GH
62HG
72GI
82HI
92AB


Output 16.11.5: Reach Networks (Counts) for and with Hop Limit of 1

Selected Rows from Table REACHCOUNTS
_Index_reachnodecountcount_not
11C27
22H72
32A72


Finding the Reach Networks of a Simple Directed Graph

This section contains Lua code for the analysis in the CASL version of this example, which contains details about the results.

Note: In order to run this code, the data that are described in the CASL version need to be loaded into CAS. One way to do this is to convert the LinkSetIn data to the comma-separated-value (CSV) file LinkSetIn.csv, convert the NodeSubSetIn data to the CSV file NodeSubSetIn.csv, and then use the following code to load the CSV files into CAS:

   s:loadtable{casLib="casuser", path="LinkSetIn.csv"}
   s:loadtable{casLib="casuser", path="NodeSubSetIn.csv"}

For more information about coding in Lua, see Getting Started with SAS Viya for Lua and SAS Viya: System Programming Guide.

You can use the following statements to find the reach network that is restricted by a hop limit of 1 from both sets of source nodes:

s:network_reach{
    direction     = "directed",
    links         = {name = "LinkSetIn"},
    nodessubset   = {name = "NodeSubSetIn"},
    outReachNodes = {name = "ReachNodes", replace=true},
    outReachlinks = {name = "ReachLinks", replace=true},
    outCounts     = {name = "ReachCounts", replace=true},
    maxreach      = 1}

Finding the Reach Networks of a Simple Directed Graph

This section contains Python code for the analysis in the CASL version of this example, which contains details about the results.

Note: In order to run this code, the data that are described in the CASL version need to be loaded into CAS. One way to do this is to convert the LinkSetIn data to the comma-separated-value (CSV) file LinkSetIn.csv, convert the NodeSubSetIn data to the CSV file NodeSubSetIn.csv, and then use the following code to load the CSV files into CAS:

   s.upload_file('LinkSetIn.csv')
   s.upload_file('NodeSubSetIn.csv')
  

For more information about coding in Python, see Getting Started with SAS Viya for Python and SAS Viya: System Programming Guide.

You can use the following statements to find the reach network that is restricted by a hop limit of 1 from both sets of source nodes:

s.network.reach(
    direction     = "directed",
    links         = {"name":"LinkSetIn"},
    nodessubset   = {"name":"NodeSubSetIn"},
    outReachNodes = {"name":"ReachNodes",  "replace":True},
    outReachLinks = {"name":"ReachLinks",  "replace":True},
    outCounts     = {"name":"ReachCounts", "replace":True},
    maxreach      = 1)

Finding the Reach Networks of a Simple Directed Graph

This example is not available for the R programming language.

Last updated: June 07, 2018