Geodesic
Growth of the 1-periodic graphs
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 18, Tome 286 (2002), pp. 215-226

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A new class of graphs is introduced: 1-periodic graphs. A problem on the form of the growth of these graphs is stated. For certain classes of graphs, a self-similar growth in the form of a polygon is proved. Certain general conjectures on the form of the growth are stated. 
@article{ZNSL_2002_286_a15,
     author = {A. V. Shutov},
     title = {Growth of the 1-periodic graphs},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {215--226},
     publisher = {mathdoc},
     volume = {286},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_286_a15/}
}
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A. V. Shutov. Growth of the 1-periodic graphs. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 18, Tome 286 (2002), pp. 215-226. http://geodesic.mathdoc.fr/item/ZNSL_2002_286_a15/