Turkish Journal of Mathematics
DOI
10.3906/mat-2007-54
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.
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
