### Abstract

Splitting a large software system into smaller and more manageable units has
become an important problem for many organizations. The basic structure of a
software system is given by a directed graph with vertices representing the programs
of the system and arcs representing calls from one program to another.
Generating a good partitioning into smaller modules becomes a minimization
problem for the number of programs being called by external programs. First,
we formulate an equivalent integer linear programming problem with 0–1 variables.
Theoretically, with this approach the problem can be solved to optimality,
but this becomes very costly with increasing size of the software system. Second,
we formulate the problem as a hypergraph partitioning problem. This is a heuristic
method using a multilevel strategy, but it turns out to be very fast and to deliver
solutions that are close to optimal.

Original language | English |
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Title of host publication | Proceedings of the fifty-second European Study Group with Industry (ESGI52/SWI2005, Amsterdam, The Netherlands, January 31-February 4, 2005), CWI Syllabus 55 |

Editors | J.B. Berg, van den, S. Bhulai, J. Hulshof, G. Koole, C. Quant, J.F. Williams |

Place of Publication | Amsterdam |

Publisher | Centrum voor Wiskunde en Informatica |

Pages | 95-107 |

ISBN (Print) | 90-6196-532-2 |

Publication status | Published - 2006 |

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## Cite this

Bisseling, R. H., Byrka, J., Cerav-Erbas, S., Gvozdenovic, N., Lorenz, M., Pendavingh, R. A., Reeves, C., Röger, M., & Verhoeven, A. (2006). Partitioning a call graph. In J. B. Berg, van den, S. Bhulai, J. Hulshof, G. Koole, C. Quant, & J. F. Williams (Eds.),

*Proceedings of the fifty-second European Study Group with Industry (ESGI52/SWI2005, Amsterdam, The Netherlands, January 31-February 4, 2005), CWI Syllabus 55*(pp. 95-107). Centrum voor Wiskunde en Informatica.