Open AccessProtection of lexicographic product graphs
Author(s) -
Douglas J. Klein,
Rodríguez-Velázquez Juan A.
Publication year - 2019
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.2243
Subject(s) - lexicographical order , mathematics , combinatorics , product (mathematics) , geometry
In this paper, we study the weak Roman domination number and the secure domination number of lexicographic product graphs. In particular, we show that these two parameters coincide for almost all lexicographic product graphs. Furthermore, we obtain tight bounds and closed formulas for these parameters.
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