Algorithm 457: finding all cliques of an undirected graph
Communications of the ACM
A fast algorithm for the maximum clique problem
Discrete Applied Mathematics - Sixth Twente Workshop on Graphs and Combinatorial Optimization
The side-chain positioning problem: a semidefinite programming formulation with new rounding schemes
PCK50 Proceedings of the Paris C. Kanellakis memorial workshop on Principles of computing & knowledge: Paris C. Kanellakis memorial workshop on the occasion of his 50th birthday
An efficient branch-and-bound algorithm for finding a maximum clique
DMTCS'03 Proceedings of the 4th international conference on Discrete mathematics and theoretical computer science
Fast and accurate algorithms for protein side-chain packing
Journal of the ACM (JACM)
Residues with Similar Hexagon Neighborhoods Share Similar Side-Chain Conformations
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Rapid protein side-chain packing via tree decomposition
RECOMB'05 Proceedings of the 9th Annual international conference on Research in Computational Molecular Biology
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Protein side-chain packing has an important application in homology modeling, protein structure prediction, protein design, protein docking problems and many more.Protein side-chain packing problem is computationally known to be NP-hard (Akutsu, 1997) (Chazelle, Kingsford & Singh, 2003) (Pierce & Winfree, 2002). In the field of computer science, the notion of reduction of a problem to other problems is quite often used to design algorithms and to prove the complexity of a certain problem. In this work, we have used this notion of reduction to solve protein side-chain packing problem.We have developed a deterministic algorithm based approach to solve protein side-chain packing problem based on clique-based algorithms. For this, we reduced this problem to the maximum clique finding problem. Moreover, in order to incorporate the interaction preferences between the atoms, we have then extended this approach to maximum edge-weight clique finding problem by assigning weights based on probability discriminatory function. We have then solved this clique finding problem by using the clique finding algorithm developed by two of the authors (Tomita & Seki, 2003) and its variants (Suzuki, Tomita & Seki 2002).We have tested this approach to predict the side-chain conformations of a set of proteins and have compared the results with other existing methods. We have found considerable improvement in terms of the size of the proteins and in terms of the efficiency and accuracy of the prediction.