Author, as appears in the article.: Cabrera Martinez, Abel; Peterin, Iztok; Yero, Ismael G.;
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: CABRERA MARTÍNEZ, ABEL / GONZÁLEZ YERO, ISMAEL
Keywords: Trees Total domination number Independent transversal total domination number Independence number
Abstract: A subset of vertices in a graph G is a total dominating set if every vertex in G is adjacent to at least one vertex in this subset. The total domination number of G is the minimum cardinality of any total dominating set in G and is denoted by gamma(t)(G). A total dominating set of G having nonempty intersection with all the independent sets of maximum cardinality in G is an independent transversal total dominating set. The minimum cardinality of any independent transversal total dominating set is denoted by gamma(u) (G). Based on the fact that for any tree T, gamma(t) (T) <= gamma(u) (T) <= gamma(t) (T) + 1, in this work we give several relationship(s) between gamma(u) (T) and gamma(t) (T) for trees T which are leading to classify the trees which are satisfying the equality in these bounds.
Thematic Areas: Mathematics Matemática / probabilidade e estatística Discrete mathematics and combinatorics Ciência da computação Applied mathematics
licence for use: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 1234-3099
Author's mail: abel.cabrera@urv.cat
Author identifier: 0000-0003-2806-4842
Last page: 224
Record's date: 2021-10-10
Journal volume: 41
Papper version: info:eu-repo/semantics/publishedVersion
Papper original source: Discussiones Mathematicae Graph Theory. 41 (1): 213-224
APA: Cabrera Martinez, Abel; Peterin, Iztok; Yero, Ismael G.; (2021). INDEPENDENT TRANSVERSAL TOTAL DOMINATION VERSUS TOTAL DOMINATION IN TREES. Discussiones Mathematicae Graph Theory, 41(1), 213-224. DOI: 10.7151/dmgt.2200
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Entity: Universitat Rovira i Virgili
Journal publication year: 2021
First page: 213
Publication Type: Journal Publications
Repositori URV