An analytical approach to the synthesis of regular graphs with preset values of the order, degree and girth
Prikladnaâ diskretnaâ matematika, no. 2 (2010), pp. 74-86
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The approach is based on the representation of the graph by its projections and is similar to the solving of an equation system composed of the graph projections.
Keywords: graph order, graph diameter, graph girth, graph projection, synthesis of the regular graph.
@article{PDM_2010_2_a7,
     author = {V. A. Melent'ev},
     title = {An analytical approach to the synthesis of regular graphs with preset values of the order, degree and girth},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {74--86},
     year = {2010},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2010_2_a7/}
}
TY  - JOUR
AU  - V. A. Melent'ev
TI  - An analytical approach to the synthesis of regular graphs with preset values of the order, degree and girth
JO  - Prikladnaâ diskretnaâ matematika
PY  - 2010
SP  - 74
EP  - 86
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/PDM_2010_2_a7/
LA  - ru
ID  - PDM_2010_2_a7
ER  - 
%0 Journal Article
%A V. A. Melent'ev
%T An analytical approach to the synthesis of regular graphs with preset values of the order, degree and girth
%J Prikladnaâ diskretnaâ matematika
%D 2010
%P 74-86
%N 2
%U http://geodesic.mathdoc.fr/item/PDM_2010_2_a7/
%G ru
%F PDM_2010_2_a7
V. A. Melent'ev. An analytical approach to the synthesis of regular graphs with preset values of the order, degree and girth. Prikladnaâ diskretnaâ matematika, no. 2 (2010), pp. 74-86. http://geodesic.mathdoc.fr/item/PDM_2010_2_a7/

[1] Valente A. X. C. N., Sarkar A., Stone H. A., “2-Peak and 3-Peak Optimal Complex Networks”, Phys. Rev. Lett., 92:11 (2004), 118702 | DOI

[2] Melentev V. A., “Formalnye osnovy skobochnykh obrazov v teorii grafov”, Trudy Vtoroi Mezhdunar. konf. “Parallelnye vychisleniya i zadachi upravleniya”, PACO' 2004, In-t problem upravleniya RAN im. V. A. Trapeznikova, M., 2004, 694–706

[3] Melentev V. A., “Formalnyi podkhod k issledovaniyu struktur vychislitelnykh sistem”, Vestnik Tomskogo gosuniversiteta, 2005, Prilozhenie No 14, 167–172

[4] Kharari F., Teoriya grafov, Mir, M., 1973, 300 pp. | MR