Network Action Set

Finding the Connected Components of an Undirected Graph

This section contains PROC CAS code.

Note: Input data must be accessible in your CAS session, either as a CAS table or as a transient-scope table. A CAS 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 2, Shared Concepts (SAS Visual Data Mining and Machine Learning: Procedures). A transient-scope table is called directly from the action and exists in memory for the duration of the action. For more information about accessing data, see SAS Viya: System Programming Guide. For more information about PROC CAS and programming in CASL, see SAS Cloud Analytic Services: CASL Programmer’s Guide and SAS Cloud Analytic Services: CASL Reference.

This example illustrates the use of the connectedComponents action on the undirected graph G shown in Figure 5.

Figure 5: An Undirected Graph G

An Undirected Graph


The undirected graph G can be represented by the following links data set, LinkSetIn:

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

The following DATA step loads the LinkSetIn data set into a CAS data table named mycas.LinkSetIn. 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;

The following statements find the connected components and output the results in the data table NodeSetOut:

proc cas;
   loadactionset "network";
   action network.connectedComponents result=r status=s /
      indexOffset = 1
      links       = {name = "LinkSetIn"}
      outNodes    = {name = "NodeSetOut", replace=true};
   run;
   print r.ProblemSummary; run;
   print r.SolutionSummary; run;
   action table.fetch / table = "NodeSetOut" sortBy = "concomp"; run;
quit;

The problem summary output from this action is shown in Output 22.5.1.

Output 22.5.1: Problem Summary

Problem Summary
Number of Nodes11
Number of Links10
Graph DirectionUndirected


The solution summary output from this action is shown in Output 22.5.2.

Output 22.5.2: Solution Summary

Solution Summary
Problem TypeConnected Components
Solution StatusOK
Number of Components3
CPU Time0.00
Real Time0.00


The output data table NodeSetOut contains the connected components of the input graph, as shown in Output 22.5.3.

Output 22.5.3: Connected Components of an Undirected Graph

Selected Rows from Table NODESETOUT
_Index_nodeconcomp
1H1
2B1
3A1
4C1
5F2
6D2
7I2
8G2
9E2
10L3
11K3


Finding the Connected Components of an Undirected 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 accessible to the CAS server. One way to do this is to convert the LinkSetIn data to the comma-separated-value (CSV) file LinkSetIn.csv and then use the following code to load the CSV file into CAS:

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

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

The following statements find the connected components and output the results in the data table NodeSetOut:

s:network_connectedComponents{
   indexOffset = 1,
   links       = {name = "LinkSetIn"},
   outNodes    = {name = "NodeSetOut", replace=true}}

Finding the Connected Components of an Undirected 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 accessible to the CAS server. One way to do this is to convert the LinkSetIn data to the comma-separated-value (CSV) file LinkSetIn.csv and then use the following code to load the CSV file into CAS:

s.upload_file('LinkSetIn.csv')

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

The following statements find the connected components and output the results in the data table NodeSetOut:

s.network.connectedComponents(
    indexOffset = 1,
    links       = {"name": "LinkSetIn"},
    outNodes    = {"name": "NodeSetOut", "replace":True})

Finding the Connected Components of an Undirected Graph

This example is not available for the R programming language.

Last updated: November 04, 2020