Al-Mohamad, HA and Duffuaa, S. O. *A LINEAR-PROGRAMMING APPROACH FOR THE WEIGHTED GRAPH MATCHING PROBLEM.* IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 15. pp. 522-525.

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## Abstract

A linear programming (LP) approach is proposed for the weighted graph matching problem. A linear program is obtained by formulating the graph matching problem in L1 norm and then transforming the resulting quadratic optimization problem to a linear one. The linear program is solved using a Simplex-based algorithm. Then, approximate 0-1 integer solutions are obtained by applying the Hungarian method on the real solutions of the linear program. The complexity of the proposed algorithm is polynomial time, and it is O(n6 L) for matching graphs of size n. The developed algorithm is compared to two other algorithms. One is based on an eigen decomposition approach and the other on a symmetric polynomial transform. Experimental results showed that the LP approach is superior in matching graphs than both other methods.

Item Type: | Article |
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Date Type: | Publication |

Subjects: | Systems |

Divisions: | College Of Computer Sciences and Engineering > Systems Engineering Dept |

Creators: | Al-Mohamad, HA and Duffuaa, S. O. |

Email: | UNSPECIFIED, duffuaa@ccse.kfupm.edu.sa |

ID Code: | 1985 |

Deposited By: | SYED AMEENUDDIN HUSSAIN |

Deposited On: | 11 Jun 2008 10:38 |

Last Modified: | 12 Apr 2011 13:11 |

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