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Domination Parameters of a Graph and its Complement

Discussiones Mathematicae Graph Theory, 2018
A dominating set in a graph G is a set S of vertices such that every vertex in V (G) \ S is adjacent to at least one vertex in S, and the domination number of G is the minimum cardinality of a dominating set of G.
Desormeaux Wyatt J., Haynes Teresa W., Henning Michael A.   +2 more
doaj   +1 more source

Algorithmic approach, mathematical modelling and network applications of connected certified domination in graphs: A comprehensive review [PDF]

EPJ Web of Conferences
In this study we have reviewed a very important variant of graph domination theory that is connected certified domination (CCD) and also presents CCD as graph-based model for network optimization.
Nehe Reshma, Menon Radhika, Goswami Vishwajeet   +2 more
doaj   +1 more source

Triameter of Graphs

Discussiones Mathematicae Graph Theory, 2021
In this paper, we study a new distance parameter triameter of a connected graph G, which is defined as max{d(u; v)+d(v;w)+d(u;w) : u; v;w ∈ V }and is denoted by tr(G).
Das Angsuman
doaj   +1 more source

Steiner domination decomposition number of graphs

Ratio Mathematica, 2022
In this paper, we introduce a new concept Steiner domination decomposition number of graphs. Let  be a connected graph with Steiner domination numberA decomposition  of  is said to be a Steiner Domination Decomposition  if  Steiner domination ...
M Mahiba, E Ebin Raja Merly
doaj   +1 more source

Resolving connected domination in graphs [PDF]

, 2007
For an ordered subset W = w1,w2, · · · ,wk of vertices and a vertex v in a connected graph G = (V,E), the (metric) representation of v with respect to W is the k-vector r(v|W) = (d(v,w1), d(v,w2), · · · , d(v,wk)).
Soner, N. D., Naji, A. M., N D.Soner, Ahmed Mohammed Naji, Butcher, Ray J., Jasinski, Jerry P., Narayana, B., Mithun, A., Yathirajan, H. S.   +8 more
core   +1 more source

On domination multisubdivision number of unicyclic graphs [PDF]

Opuscula Mathematica, 2018
The paper continues the interesting study of the domination subdivision number and the domination multisubdivision number. On the basis of the constructive characterization of the trees with the domination subdivision number equal to 3 given in [H. Aram,
Joanna Raczek
doaj   +1 more source

Connected Domination Critical Graphs with Cut Vertices

Discussiones Mathematicae Graph Theory, 2020
A graph G is said to be k- γc-critical if the connected domination number of G, γc(G), is k and γc(G + uv) < k for any pair of non-adjacent vertices u and v of G. Let G be a k-γc-critical graph and ζ (G) the number of cut vertices of G. It was proved, in
Kaemawichanurat Pawaton, Ananchuen Nawarat   +1 more
doaj   +1 more source

Algorithmic Aspects of Secure Connected Domination in Graphs

Discussiones Mathematicae Graph Theory, 2021
Let G = (V, E) be a simple, undirected and connected graph. A connected dominating set S ⊆ V is a secure connected dominating set of G, if for each u ∈ V \ S, there exists v ∈ S such that (u, v) ∈ E and the set (S \ {v}) ∪ {u} is a connected dominating ...
Kumar Jakkepalli Pavan, Reddy P. Venkata Subba   +1 more
doaj   +1 more source

Therapeutic Apheresis in Nigeria: A Multi‐Center Summary of Abstracts From the Inaugural Nigerian Society for Apheresis Scientific Meeting

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Therapeutic apheresis (TA) is an established treatment modality for hematologic, neurologic, and immunologic disorders, yet access remains severely limited in sub‐Saharan Africa. Donor apheresis, including platelet apheresis collection from healthy donors, represents an important complementary modality supporting blood product ...
Nosa Bazuaye, Chimezie Okwuonu, Evelyn Idam, Folasade Adelekan‐Popoola, Shakirat Gold‐Olufadi, Olufunto Olufela Kalejaiye, Abdullateef Ogala, Zinnah Aloziem, Blossom Amamchukwu, Patience Elimia, Mkpoikanabasi Obot‐Obot, Henry Mbakwe, Praises Maduagwuna, Olatunji Akinrodoye, Chiamaka Anyanwu, Benjamin Anyanwu, Adedamola Akinsiku, Oluwatoyin A. Akinsiku, Muzamil O. Hassan, Fatiu A. Arogundade, Olalekan E. Ojo, Homayemem Weli, Jesupelumi Adenihun, Aderemi Adelaja, Ebun Bamgboye, Olalekan Olatise, Ade E. Faponle, Ayoola Odeyemi, Michael Muoka, Stephen Asaolu, Qudrat Busari, Blessing Dawudu, Michael Naiyeju, Rasheed A. Balogun   +33 more
wiley   +1 more source

Connected and outer-connected domination number of middle graphs

, 2022
In this paper, we study the notions of connected domination number and of outer-connected domination number for middle graphs. Indeed, we obtain tight bounds for this number in terms of the order of the graph M(G).
Kazemnejad, Farshad, Torielli, Michele, Palezzato, Elisa, Pahlavsay, Behnaz   +3 more
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