Turkish Journal of Mathematics
Abstract
In this paper, we discuss the lower bound for the dcsl index $ \delta_k $ of a $k$-uniform dcsl of even cycle $ C_{2n},\ n\geq 2 $, in terms of the dimension of a poset and prove that $dim({\mathscr{F}})\leq \delta_k(C_{2n}) $, where ${\mathscr{F}}$ is the range of any $k$-uniform dcsl $ f $ of $ C_{2n},\ n\geq 2 $.
DOI
10.3906/mat-1505-20
Keywords
$k$-Uniform distance compatible set labeling, dimension of the poset
First Page
633
Last Page
646
Recommended Citation
KARREY, N. R, & AUGUSTINE, G. K (2018). On the dimension of vertex labeling of $k$-uniform dcsl of an even cycle. Turkish Journal of Mathematics 42 (2): 633-646. https://doi.org/10.3906/mat-1505-20
