On the dimension of vertex labeling of $k$-uniform dcsl of an even cycle

Authors

NAGESWARA RAO KARREY
GERMINA KIZHEKEKUNNEL AUGUSTINE

DOI

10.3906/mat-1505-20

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 $.

Keywords

$k$-Uniform distance compatible set labeling, dimension of the poset

First Page

633

Last Page

646

Recommended Citation

KARREY, NAGESWARA RAO and AUGUSTINE, GERMINA KIZHEKEKUNNEL (2018) "On the dimension of vertex labeling of $k$-uniform dcsl of an even cycle," Turkish Journal of Mathematics: Vol. 42: No. 2, Article 17. https://doi.org/10.3906/mat-1505-20
Available at: https://journals.tubitak.gov.tr/math/vol42/iss2/17