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 
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/
@article{ZNSL_2002_286_a15,
     author = {A. V. Shutov},
     title = {Growth of the 1-periodic graphs},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {215--226},
     year = {2002},
     volume = {286},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_286_a15/}
}
TY  - JOUR
AU  - A. V. Shutov
TI  - Growth of the 1-periodic graphs
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2002
SP  - 215
EP  - 226
VL  - 286
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2002_286_a15/
LA  - ru
ID  - ZNSL_2002_286_a15
ER  - 
%0 Journal Article
%A A. V. Shutov
%T Growth of the 1-periodic graphs
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 215-226
%V 286
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_286_a15/
%G ru
%F ZNSL_2002_286_a15

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.