Open AccessOn the dimension of vertex labeling of k-uniform dcsl of an even cycle
Author(s) -
NAGESWARA RAO KARREY,
Germina Kizhekekunnel Augustine
Publication year - 2018
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1505-20
Subject(s) - mathematics , combinatorics , dimension (graph theory) , vertex (graph theory) , upper and lower bounds , partially ordered set , mathematical analysis , graph
In this paper, we discuss the lower bound for the dcsl index δk of a k -uniform dcsl of even cycle C2n, n ≥ 2, in terms of the dimension of a poset and prove that dim(F ) ≤ δk(C2n) , where F is the range of any k -uniform dcsl f of C2n, n ≥ 2.
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