The Italian Domination Numbers of Some Products of Directed Cycles

Kijung Kim
Additional contact information
Kijung Kim: Department of Mathematics, Pusan National University, Busan 46241, Korea

Mathematics, 2020, vol. 8, issue 9, 1-6

Abstract: An Italian dominating function on a digraph D with vertex set V ( D ) is defined as a function f : V ( D ) → { 0 , 1 , 2 } such that every vertex v ∈ V ( D ) with f ( v ) = 0 has at least two in-neighbors assigned 1 under f or one in-neighbor w with f ( w ) = 2 . In this article, we determine the exact values of the Italian domination numbers of some products of directed cycles.

Keywords: Italian dominating function; Italian domination number; cartesian product; strong product (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/9/1472/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/9/1472/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:9:p:1472-:d:407097

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().