2010
DOI: 10.1201/9781420082999-c8
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Structure Enumeration and Sampling

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Cited by 10 publications
(15 citation statements)
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“…Many elements of this work have been previously discussed in the chemistry literature. Reaction networks play a central role in kinetic modeling of complex chemical reactions and origins of life research. The analysis of their graph structures has provided insights into mechanistic complexity and catalysis. Independently, automatic synthesis prediction spurred intensive research in compact representations of molecules and reactions and utilized graph theory to explore the network of synthetic chemistry. Our definition of the shortest path metric on the set of bond breaking and bond making events is similar to the reaction distance definition by Kvasnička and co-workers and the chemical distance defined on the set of bond–electron (BE) matrices of Dugundji and Ugi. ,, More broadly, graph-theoretical concepts have been successfully used for developing structure descriptors and structure generation. The ideas of metrics and partial orderings , have been discussed in the context of topological descriptors of molecules and chemical reactions. Our construction of chemical space benefits from the insights of many of these seminal works.…”
Section: Introductionmentioning
confidence: 99%
“…Many elements of this work have been previously discussed in the chemistry literature. Reaction networks play a central role in kinetic modeling of complex chemical reactions and origins of life research. The analysis of their graph structures has provided insights into mechanistic complexity and catalysis. Independently, automatic synthesis prediction spurred intensive research in compact representations of molecules and reactions and utilized graph theory to explore the network of synthetic chemistry. Our definition of the shortest path metric on the set of bond breaking and bond making events is similar to the reaction distance definition by Kvasnička and co-workers and the chemical distance defined on the set of bond–electron (BE) matrices of Dugundji and Ugi. ,, More broadly, graph-theoretical concepts have been successfully used for developing structure descriptors and structure generation. The ideas of metrics and partial orderings , have been discussed in the context of topological descriptors of molecules and chemical reactions. Our construction of chemical space benefits from the insights of many of these seminal works.…”
Section: Introductionmentioning
confidence: 99%
“…In this method, the corresponding connectivity isomers are generated completely and non-redundantly. The algorithmic principle applied here is called orderly generation [ 12 , 48 ].…”
Section: Methodsmentioning
confidence: 99%
“…On one hand, the enumeration of isomers (or, in the language of graph theory, enumeration of sets of graphs with the same “degree sequence” , ) is a tool of central importance to structural elucidation . On the other hand, the enumeration of small-molecule chemical spaces has been an exciting approach in drug design and discovery. …”
Section: Introductionmentioning
confidence: 99%
“…The advantage is that they are very fast to runhence, these were used in GDB when the size of the chemical space grew quickly. MOLGEN can even prune during enumeration by stopping the orderly generation , process when a badlist substructure appears. Force field/simulation (3D)-based methods are less likely to reject genuine moleculesas calculations are based on first principles. ,, In the majority of cases, when the topology of real molecules is used, we would expect common conformer generators (see Ebejer et al) to find reasonable conformers.…”
Section: Introductionmentioning
confidence: 99%