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Properties of Total Dominating Sets and General Bounds

2013
In order to obtain results on the total domination number, we need to first establish properties of TD-sets in graphs. In this chapter, we list properties of minimal TD-sets in a graph. Further we present general bounds relating the total domination number to other parameters.
Michael A. Henning, Anders Yeo
openaire   +1 more source

A Characterization of Graphs Whose Vertex Set Can Be Partitioned into a Total Dominating Set and an Independent Dominating Set

Discrete Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Teresa W. Haynes, Michael A. Henning
openaire   +2 more sources

Total Dominating Sets and Total Domination Polynomials of Square of Cycles

IOSR Journal of Mathematics, 2014
T. Premala, Dr. C. Sekar
openaire   +1 more source

Study on a Strong and Weak n-Connected Total Perfect k-Dominating set in Fuzzy Graphs

Mathematics, 2022
ELAVARASAN K   +2 more
exaly  

ON CONNECTED TOTAL DOMINATING SETS AND CONNECTED TOTAL DOMINATION POLYNOMIAL OF CORONA GRAPHS

Advances and Applications in Discrete Mathematics, 2019
Giovannie M. Entero, Ariel C. Pedrano
openaire   +1 more source

A Distributed Approximation Algorithm for the Total Dominating Set Problem

SSRN Electronic Journal, 2022
Limin Wang   +4 more
openaire   +1 more source

Algorithmic results in secure total dominating sets on graphs

Theoretical Computer Science, 2022
Abolfazl Poureidi
exaly  

Parameterized Algorithms for Total p-Dominating Set

Chinese Journal of Computers, 2014
Wei-Zhong LUO   +3 more
openaire   +1 more source

Towards efficient local search for the minimum total dominating set problem

Applied Intelligence, 2021
Shuli Hu, Yupan Wang, Ruizhi Li
exaly  

Total boundary dominating set in graphs

AIP Conference Proceedings
G. Palani Murugan   +3 more
openaire   +1 more source

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