Geodesic
Graphs of Linear Operators
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and mathematical physics. I, Tome 263 (2008), pp. 64-71

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In 2006 the author proposed an algorithm for constructing graphs of difference operators. In this paper, the following question is studied: to which linear operators $\mathcal A$ does this algorithm apply? Graphs of difference operators are used to determine the complexity of a sequence in the sense of Arnold, so the algorithm makes it possible to determine the complexity of any sequence. 
@article{TM_2008_263_a4,
     author = {A. I. Garber},
     title = {Graphs of {Linear} {Operators}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {64--71},
     publisher = {mathdoc},
     volume = {263},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2008_263_a4/}
}
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A. I. Garber. Graphs of Linear Operators. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and mathematical physics. I, Tome 263 (2008), pp. 64-71. http://geodesic.mathdoc.fr/item/TM_2008_263_a4/