Maximum Common Subgraph Isomorphism Problem: Computational complexity theory, Optimization problem, NP-hard, Graph theory, Isomorphism, Decision problem, NP-complete, Modular product of graphs - Couverture souple

 
9786132838285: Maximum Common Subgraph Isomorphism Problem: Computational complexity theory, Optimization problem, NP-hard, Graph theory, Isomorphism, Decision problem, NP-complete, Modular product of graphs

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In complexity theory, maximum common subgraph- isomorphism (MCS) is an optimization problem that is known to be NP-hard. The associated decision problem, i.e., given G1, G2 and an integer k, deciding whether G1 contains a subgraph of at least k edges isomorphic to a subgraph of G2 is NP-complete. One possible solution for this problem is to build a modular product graph, in which the largest clique represents a solution for the MCS problem. MCS algorithms have a long tradition in cheminformatics and pharmacophore mapping.

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