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Disjunctive Total Domination Subdivision Number of Graphs
A set S subset of V (G) is a disjunctive total dominating set of G if every vertex has a neighbor in S or has at least two vertices in S at distance 2 from it.
Aytac, Vecdi, Ciftci, Canan
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The Forcing Domination Number of Hamiltonian Cubic Graphs [PDF]
The authors presented a sequence of Hamiltonian cubic graphs whose domination numbers are sharp and in this paper we study forcing domination number for those ...
H. Abdollahzadeh Ahangar +3 more
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Total Domination Multisubdivision Number of a Graph [PDF]
The domination multisubdivision number of a nonempty graph G was defined in [3] as the minimum positive integer k such that there exists an edge which must be subdivided k times to increase the domination number of G.
Lemańska Magdalena +8 more
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Bounds on Total Domination Subdivision Numbers. [PDF]
The domination subdivision number of a graph is the minimum number of edges that must be subdivided in order to increase the domination number of the graph.
Hopkins, Lora Shuler
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On domination multisubdivision number of unicyclic graphs [PDF]
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 +2 more
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Weakly connected domination subdivision numbers [PDF]
A set D of vertices in a graph G = (V,E) is a weakly connected dominating set of G if D is dominating in G and the subgraph weakly induced by D is connected.
Raczek, Joanna
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This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska +13 more
wiley +1 more source
Triple Connected Domination Number of a Graph [PDF]
The concept of triple connected graphs with real life application was introduced by considering the existence of a path containing any three vertices of a graph G.
Selvam Avadayappan +7 more
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Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source
Paired-domination in graphs [PDF]
D.Phil. (Mathematics)Domination and its variants are now well studied in graph theory. One of these variants, paired-domination, requires that the subgraph induced by the dominating set contains a perfect matching.
McCoy, John Patrick
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