We study tropically planar graphs, which are the graphs that appear in smooth tropical plane curves. develop necessary conditions for to be planar, and compute number of up genus 7. provide non-trivial upper lower bounds on prove asymptotically $$0\%$$ connected trivalent planar.

in this study, the geometries of the [sininhn]q and [sicunhn]q clusters, (n = 4,5,6 and q = 0,+1,-1) complexes have been optimized to form complexes with four, five and six planar and nonplanarsubstituents, with negative, neutral or positive atomic charge, using density functionaltheory (dft) at b3lyp/6-311+g (3df, p) computational level and then their thermodynamicstability were investigated b...

in this paper, a generalized method for accurate full-wave analysis of shielded mic's and the three-layer microstrip structure enclosed in a rectangular cavity based on mixed potential integral equation (mpie) derived in real space have been developed. method of moments (mom) with galerkin technique has been used for the solution of the integral equation to obtain the surface electric currents ...

in this paper, a mathematical modeling is developed for plastic analysis of planar frames. to this end, the researcher tried to design an optimization model in linear format in order to solve large scale samples. the computational result of cpu time requirement is shown for different samples to prove efficiency of this method for large scale models. the fundamental concept of this model is obta...

by minimizing the total potential energy function and deploying the virtual work principle, a higher-order stiffness matrix is achieved. this new tangent stiffness matrix is used to solve the frame with geometric nonlinear behavior. since authors’ formulation takes into account the higher-order terms of the strain vector, the convergence speed of the solution process will increase. in fact, bot...