Computational Complexity of Kabsch and Quaternion Based Algorithms for Molecular Superimposition in Computational Chemistry

Author(s):  
Rafael Dolezal ◽  
Katerina Fronckova ◽  
Ayca Kirimtat ◽  
Ondrej Krejcar
Author(s):  
Nico Potyka

Bipolar abstract argumentation frameworks allow modeling decision problems by defining pro and contra arguments and their relationships. In some popular bipolar frameworks, there is an inherent tendency to favor either attack or support relationships. However, for some applications, it seems sensible to treat attack and support equally. Roughly speaking, turning an attack edge into a support edge, should just invert its meaning. We look at a recently introduced bipolar argumentation semantics and two novel alternatives and discuss their semantical and computational properties. Interestingly, the two novel semantics correspond to stable semantics if no support relations are present and maintain the computational complexity of stable semantics in general bipolar frameworks.


2020 ◽  
Author(s):  
Ekadashi Pradhan ◽  
Jordan N. Bentley ◽  
Christopher B. Caputo ◽  
Tao Zeng

This is a computational chemistry study in designing singlet fission chromophores based on a diazadiborine framework. Substitutions and additions are proposed to enhance diradical character of the diazadiborine so that the designed molecules satisfy the two energy criteria for singlet fission. Synthesizability of the designed molecules is discussed.


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