Geodesic
Decomposition of complete graphs into $(0,2)$-prisms
Czechoslovak Mathematical Journal, Tome 64 (2014) no. 1, pp. 37-43 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

R. Frucht and J. Gallian (1988) proved that bipartite prisms of order $2n$ have an $\alpha $-labeling, thus they decompose the complete graph $K_{6nx+1}$ for any positive integer $x$. We use a technique called the $\rho ^{+}$-labeling introduced by S. I. El-Zanati, C. Vanden Eynden, and N. Punnim (2001) to show that also some other families of 3-regular bipartite graphs of order $2n$ called generalized prisms decompose the complete graph $K_{6nx+1}$ for any positive integer $x$.
R. Frucht and J. Gallian (1988) proved that bipartite prisms of order $2n$ have an $\alpha $-labeling, thus they decompose the complete graph $K_{6nx+1}$ for any positive integer $x$. We use a technique called the $\rho ^{+}$-labeling introduced by S. I. El-Zanati, C. Vanden Eynden, and N. Punnim (2001) to show that also some other families of 3-regular bipartite graphs of order $2n$ called generalized prisms decompose the complete graph $K_{6nx+1}$ for any positive integer $x$.
DOI : 10.1007/s10587-014-0080-2
Classification : 05B30, 05C51, 05C70, 05C78
Keywords: decompositions; prism; $\rho ^+$-labeling 
@article{10_1007_s10587_014_0080_2,
     author = {Cichacz, Sylwia and Dib, Soleh and Froncek, Dalibor},
     title = {Decomposition of complete graphs into $(0,2)$-prisms},
     journal = {Czechoslovak Mathematical Journal},
     pages = {37--43},
     year = {2014},
     volume = {64},
     number = {1},
     doi = {10.1007/s10587-014-0080-2},
     mrnumber = {3247441},
     zbl = {06391473},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-014-0080-2/}
}
TY  - JOUR
AU  - Cichacz, Sylwia
AU  - Dib, Soleh
AU  - Froncek, Dalibor
TI  - Decomposition of complete graphs into $(0,2)$-prisms
JO  - Czechoslovak Mathematical Journal
PY  - 2014
SP  - 37
EP  - 43
VL  - 64
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-014-0080-2/
DO  - 10.1007/s10587-014-0080-2
LA  - en
ID  - 10_1007_s10587_014_0080_2
ER  - 
%0 Journal Article
%A Cichacz, Sylwia
%A Dib, Soleh
%A Froncek, Dalibor
%T Decomposition of complete graphs into $(0,2)$-prisms
%J Czechoslovak Mathematical Journal
%D 2014
%P 37-43
%V 64
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-014-0080-2/
%R 10.1007/s10587-014-0080-2
%G en
%F 10_1007_s10587_014_0080_2
Cichacz, Sylwia; Dib, Soleh; Froncek, Dalibor. Decomposition of complete graphs into $(0,2)$-prisms. Czechoslovak Mathematical Journal, Tome 64 (2014) no. 1, pp. 37-43. doi: 10.1007/s10587-014-0080-2

Cité par Sources :