Self-similar growth of periodic partitions and graphs
V. G. Zhuravlev

This publication is cited in the following articles:

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2. Shutov A., Maleev A., “Topological Densities of Periodic Graphs”, Z. Krist.-Cryst. Mater., 235:12 (2020), 609–617    
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5. Shutov A.V. Maleev A.V., “Study of Penrose Tiling Using Parameterization Method”, Crystallogr. Rep., 64:3 (2019), 376–385    
6. Shutov A., Maleev A., “Coordination Sequences and Layer-By-Layer Growth of Periodic Structures”, Z. Krist.-Cryst. Mater., 234:5 (2019), 291–299      
7. V. G. Zhuravlev, “Lokalnyi algoritm postroeniya proizvodnykh razbienii dvumernogo tora”, Algebra i teoriya chisel. 2, Zap. nauchn. sem. POMI, 479, POMI, SPb., 2019, 85–120  
8. Shutov A., Maleev A., “Coordination Shells and Coordination Numbers of the Vertex Graph of the Ammann-Beenker Tiling”, Acta Crystallogr. Sect. A, 75:5 (2019), 746–757      
9. Shutov A.V., Maleev A.V., “Layer-By-Layer Growth of Ammann-Beenker Graph”, Crystallogr. Rep., 64:6 (2019), 851–856    
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11. Shutov A.V., Maleev A.V., “Layer-By-Layer Growth of Vertex Graph of Penrose Tiling”, Crystallogr. Rep., 62:5 (2017), 683–691      
12. Shutov A.V., Maleev A.V., “Strong Parameterization and Coordination Encirclements of Graph of Penrose Tiling Vertices”, Crystallogr. Rep., 62:4 (2017), 522–528      
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16. Rau V.G., Skvortsov K.V., Potekhin K.A., Maleev A.V., “Geometric analysis of the models of sulfur S$_8$(x) molecular nanoclusters in computer experiment”, Journal of Structural Chemistry, 52:4 (2011), 760–765          
17. Maleev A.V., Shutov A.V., Zhuravlev V.G., “2D quasi-periodic Rauzy tiling as a section of 3D periodic tiling”, Crystallography Reports, 55:5 (2010), 723–733          
18. Shutov A.V., Maleev A.V., Zhuravlev V.G., “Complex quasiperiodic self-similar tilings: their parameterization, boundaries, complexity, growth and symmetry”, Acta Crystallographica Section A, 66:3 (2010), 427–437            
19. Shutov, AV, “Quasiperiodic plane tilings based on stepped surfaces”, Acta Crystallographica Section A, 64 (2008), 376              
20. Zhuravlev V.G., Maleev A.V., “Layer-by-layer growth of quasi-periodic Rauzy tiling”, Crystallography Reports, 52:2 (2007), 180–186            
21. Rau V.G., Pugaev A.A., Rau T.F., “Coordination sequences and coordination waves in matter”, Crystallography Reports, 51:1 (2006), 2–10            
22. Rau V.G., Maleev A.V., “Diskretnoe modelirovanie protsessov posloinogo rosta idealnykh i realnykh kristallov pri edinichnoi i massovoi kristallizatsii”, Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo. Seriya: Fizika tverdogo tela, 2004, no. 1, 39–50
23. A. V. Shutov, “The number of words of a given length in the planar crystallographic groups”, J. Math. Sci. (N. Y.), 129:3 (2005), 3922–3926        
24. Zhuravlev V.G., Maleev A.V., Rau V.G., Shutov A.V., “Growth of random plane graph and packings”, Crystallography Reports, 47:6 (2002), 907–912          
25. Rau V.G., Zhuravlev V.G., Rau T.F., Maleev A.V., “Morphogenesis of crystal structures in the discrete modeling of packings”, Crystallography Reports, 47:5 (2002), 727–730