Turkish Journal of Mathematics
Abstract
The complete symmetric directed graph of order $v$, denoted by $K_{v}$, is the directed graph on $v$~vertices that contains both arcs $(x,y)$ and $(y,x)$ for each pair of distinct vertices $x$ and~$y$. For a given directed graph $D$, the set of all $v$ for which $K_{v}$ admits a $D$-decomposition is called the spectrum of~$D$-decomposition. There are 10 nonisomorphic orientations of a $7$-cycle (heptagon). In this paper, we completely settled the spectrum problem for each of the oriented heptagons.
DOI
10.3906/mat-2007-54
Keywords
Decomposition, directed graph, orientations of a heptagon
First Page
1660
Last Page
1667
Recommended Citation
ODABAŞI, UĞUR
(2021)
"Decompositions of Complete Symmetric Directed Graphs into the Oriented Heptagons,"
Turkish Journal of Mathematics: Vol. 45:
No.
4, Article 14.
https://doi.org/10.3906/mat-2007-54
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss4/14
