2015
DOI: 10.1007/978-3-319-20086-6_18
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Efficient Generation of Stable Planar Cages for Chemistry

Abstract: In this paper we describe an algorithm which generates all colored planar maps with a good minimum sparsity from simple motifs and rules to connect them. An implementation of this algorithm is available and is used by chemists who want to quickly generate all sound molecules they can obtain by mixing some basic components.

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Cited by 11 publications
(7 citation statements)
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“…Recently, mathematicians have developed an algorithm for generating maps of 'stable planar cages', where they did not restrict themselves to 2-component systems and generated >400 000 unique maps. 51 The majority of these maps are too complex to be feasible with organic chemistry and thus our limited number of plausible topologies is more practical. However, the topologies we discuss can still be used to describe the underlying connectivity in a multicomponent system and indeed, multiple components may be an attractive design approach for the synthesis of some of the lower symmetry topologies.…”
Section: Enumeration Of Organic Cage Topologiesmentioning
confidence: 99%
“…Recently, mathematicians have developed an algorithm for generating maps of 'stable planar cages', where they did not restrict themselves to 2-component systems and generated >400 000 unique maps. 51 The majority of these maps are too complex to be feasible with organic chemistry and thus our limited number of plausible topologies is more practical. However, the topologies we discuss can still be used to describe the underlying connectivity in a multicomponent system and indeed, multiple components may be an attractive design approach for the synthesis of some of the lower symmetry topologies.…”
Section: Enumeration Of Organic Cage Topologiesmentioning
confidence: 99%
“…From a technical point of view, a typical way to uniquely define equivalent patterns would be to consider only the minimum equivalent pattern, using a lexicographic order for example, 58 each time a pattern is identified. Such an approach becomes quickly computationally expensive, especially since pattern detection is constantly performed in a UCT+DoE run.…”
Section: ) Of the Chosen Geometry Gmentioning
confidence: 99%
“…Easier to obtain or to predict than 3D-graphs, 2D-graphs already carry information on the structure, the functional properties and even the 3D shape of the molecules they model. Examples include the classification of similar molecules according to their topology [25,26], the prediction of patterns in biological molecules [27], the prediction of the 3D structure of small molecules [28], etc. Molecular graphs are also commonly used in supervised machine learning algorithms, the framework of graph-based models for molecules is indeed naturally suited for carrying out predictions in message-passing neural network schemes.…”
Section: Introductionmentioning
confidence: 99%