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# Solving Maximum Clique Problem for Protein Structure Similarity

* Corresponding author
1 SYMBIOSE - Biological systems and models, bioinformatics and sequences
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, Inria Rennes – Bretagne Atlantique
Abstract : A basic assumption of molecular biology is that proteins sharing close three-dimensional (3D) structures are likely to share a common function and in most cases derive from a same ancestor. Computing the similarity between two protein structures is therefore a crucial task and has been extensively investigated. Evaluating the similarity of two proteins can be done by finding an optimal one-to-one matching between their components, which is equivalent to identifying a maximum weighted clique in a specific alignment graph". In this paper we present a new integer programming formulation for solving such clique problems. The model has been implemented using the ILOG CPLEX Callable Library. In addition, we designed a dedicated branch and bound algorithm for solving the maximum cardinality clique problem. Both approaches have been integrated in VAST (Vector Alignment Search Tool) - a software for aligning protein 3D structures largely used in NCBI (National Center for Biotechnology Information). The original VAST clique solver uses the well known Bron and Kerbosh algorithm (BK). Our computational results on real life protein alignment instances show that our branch and bound algorithm is up to 116 times faster than BK for the largest proteins.
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Reports (Research report)
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Cited literature [16 references]

https://hal.inria.fr/inria-00356816
Contributor : Noel Malod-Dognin Connect in order to contact the contributor
Submitted on : Wednesday, January 28, 2009 - 5:11:07 PM
Last modification on : Thursday, October 27, 2022 - 3:45:31 AM
Long-term archiving on: : Thursday, June 30, 2011 - 10:44:27 AM

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RR_6818.pdf
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### Identifiers

• HAL Id : inria-00356816, version 1
• ARXIV : 0901.4833

### Citation

Noël Malod-Dognin, Rumen Andonov, Nicola Yanev. Solving Maximum Clique Problem for Protein Structure Similarity. [Research Report] RR-6818, INRIA. 2009, pp.12. ⟨inria-00356816⟩

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