1. Software Systems as Complex Networks by Hema Jayaprakash

2. Software Systems as Complex Networks - Outline Introduction Software UML Class Diagram Graphs by Sergi Valverde and Richard V.Sole Software Object Graphs by Alex Potanin Software Coupling Graphs by Richard Wheeldon and Steve Counsell Software Collaboration Graphs by Christopher R.Myers Software Coding Graphs by Michele Marchasi Conclusion

3. Introduction Software systems represent another important class of complex networks. Organized to be highly functional. Components of a large software application are very well connected. Organized to be highly evolvable. Design is a central element of software construction. Software systems need better ways of characterizing and controlling macroscopic properties.

4. Software UML Class Diagram Graphs by Sergi Valverde and Richard V.Sole – Software Graph Representation Source: Hierarchical Small Worlds in Software Architecture, Sergi Valverde and Richard V.Sole

5. Software UML Class Diagram Graphs by Sergi Valverde and Richard V.Sole - Analysis Static Analysis on Five UML Class Diagrams: ProRally 2002 – UbiSoft Entertainment Striker – UbiSoft Entertainment JDK-A JDK-B Mudsi – Distributed Java Application 29 Class Diagrams

6. Software UML Class Diagram Graphs by Sergi Valverde and Richard V.Sole – Topological Measurements Source: Hierarchical Small Worlds in Software Architecture, Sergi Valverde and Richard V.Sole

7. Software UML Class Diagram Graphs by Sergi Valverde and Richard V.Sole – software Cost and Size Source: Hierarchical Small Worlds in Software Architecture, Sergi Valverde and Richard V.Sole

8. Software UML Class Diagram Graphs by Sergi Valverde and Richard V.Sole – Evolution of mean degree, mean path length and clustering Coeffcient of Prorally 2002 Source: Hierarchical Small Worlds in Software Architecture, Sergi Valverde and Richard V.Sole

9. Software Object Graphs by Alex Potanin – Simple object graph of linked list Source: Scale-Free Geometry in OO Programs, Alex Potanin, James Noble, Marcus Frean and Robert Biddle

10. Software Object Graphs by Alex Potanin – OO Analysis Heap Profiler Library and JVM Profiler – 60 object graphs from 35 programs. Java Heap Analysis Tool – Properties of the programs object graphs. https://hat.dev.java.net/ HAT is a program that analyzes a heap dump file for Java programs. This tool can help a developer to debug and analyze the objects in a running Java program. It is particularly useful when debugging unintentional object retention.

11. Software Object Graphs by Alex Potanin – Power Laws in Object Graphs Source: Scale-Free Geometry in OO Programs, Alex Potanin, James Noble, Marcus Frean and Robert Biddle

12. Software Coupling Graphs by Richard Wheeldon and Steve Counsell – Software coupling and their graphs Source: Power Law Distributions in Class Relationships, Richard Wheeldon and Steve Counsell

13. Software Coupling Graphs by Richard Wheeldon and Steve Counsell - Analysis Autocode – index java code Three Large Java Systems JDK – Version 1.4 has 1,400,000 lines of code spread over 6000 classes Apache Ant – Version 1.5.3 has 1,45,000 lines of code apread over 500 classes Tomcat – Version 4.0 has 1,50,000 lines spread over 370 classes

14. Software Coupling Graphs by Richard Wheeldon and Steve Counsell - Methods, Fields and Constructors No strong Correlation. Number of methods cant be found by using number of fields or constructors. Source: Power Law Distributions in Class Relationships, Richard Wheeldon and Steve Counsell

15. Software Coupling Graphs by Richard Wheeldon and Steve Counsell – Coupling Power Laws for JDK, Tomcat and Ant Source: Power Law Distributions in Class Relationships, Richard Wheeldon and Steve Counsell

16. Software Collaboration Graphs by Christopher R.Myers – Class Collaboration Graph Source: Software Systems as Complex Networks: structure, function and evolvability of software collaboration graphs, Christopher R.Myers

17. Software Collaboration Graphs by Christopher R.Myers - Analysis Doxygen - an automatic document generation tool that parses C++ header files to describe classes, their methods, inheritance, and collaborations. Six open-source software systems VTK visualization library Digital Material AbiWord Linux MySQL XMMS.

18. Software Collaboration Graphs by Christopher R.Myers – Connected Components Source: Software Systems as Complex Networks: structure, function and evolvability of software collaboration graphs, Christopher R.Myers (a) number of nodes in each graph, (b) number of edges in each graph, (c) number of WCCs, (d) number of nodes in the largest WCC, (e) number of edges in the largest WCC, (f) number of SCCs, (g) number of nodes the largest SCC, (h) number of edges in the largest SCC, and (i) the fraction of nodes belonging to any SCC.

19. Software Collaboration Graphs by Christopher R.Myers – Degree Distributions Source: Software Systems as Complex Networks: structure, function and evolvability of software collaboration graphs, Christopher R.Myers (a) VTK (b) Digital Material (c) AbiWord (d) Linux (e) MySQL (f) XMMS.

20. Software Collaboration Graphs by Christopher R.Myers – Clustering Coefficients Source: Software Systems as Complex Networks: structure, function and evolvability of software collaboration graphs, Christopher R.Myers (a) VTK (b) Digital Material (c) AbiWord (d) Linux (e) MySQL (f) XMMS.

21. Software Collaboration Graphs by Christopher R.Myers – Complexity Measures Source: Software Systems as Complex Networks: structure, function and evolvability of software collaboration graphs, Christopher R.Myers

22. Software Collaboration Graphs by Christopher R.Myers – Evolution History of VTK System Source: Software Systems as Complex Networks: structure, function and evolvability of software collaboration graphs, Christopher R.Myers

23. Software Coding Graphs by Michele Marchasi – Code and its graph

24. Software Coding Graphs by Michele Marchasi – CK Software OO Metics Source: Power-Laws in a Large Object-Oriented Software System, Giulio Concas, Michele Marchasi, Sandro Pinna and Nicola Serra

25. Software Coding Graphs by Michele Marchasi – OO Systems Studied Source: Agile Group – DIEE, Università degli studi di Cagliari

26. Software Coding Graphs by Michele Marchasi - Results Source: Power-Laws in a Large Object-Oriented Software System, Giulio Concas, Michele Marchasi, Sandro Pinna and Nicola Serra

27. Software Coding Graphs by Michele Marchasi - Results Source: Power-Laws in a Large Object-Oriented Software System, Giulio Concas, Michele Marchasi, Sandro Pinna and Nicola Serra

28. Topology Representation of Networked Software Architecture – Partial Kernel Functions of Linux V0.12

29. Topology Representation of Networked Software Architecture – All Kernel Functions of Linux V0.12

30. Topology Representation of Networked Software Architecture – Apache Tomcat Version 6.0.13

31. Conclusion Hierarchical Small Worlds in Software Architecture using UML Class Diagrams Scale-Free Geometry in OO Programs using Object Graphs Power Law distributions in Class Relationships using Software Coupling Graphs Structure, Function and Evolvability of Software Collaboration Graphs Power-Laws in a Large Object-Oriented Software System using the Code Graphs. Topological Representation of Software Architecture Networks.

32. Questions?