Results 51 to 60 of about 398,878 (275)
A Note on Non-Dominating Set Partitions in Graphs
Discussiones Mathematicae Graph Theory, 2016 A set S of vertices of a graph G is a dominating set if every vertex not in S is adjacent to a vertex of S and is a total dominating set if every vertex of G is adjacent to a vertex of S.
Desormeaux Wyatt J. +2 more
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Total dominator color class total dominating sets in Dutch windmill graph and coconut tree graph
Malaya Journal of Matematik, 2021 Let $G$ be a finite, undirected and connected graph with minimum degree at least one. A proper coloring $\mathcal{C}$ of $G$ is said to be a total dominator color class total dominating set of $G$ if each vertex properly dominates a color class in $\mathcal{C}$ and each color class in $\mathcal{C}$ is properly dominated by a vertex in $\mathrm{V ...
null A. Vijayalekshmi, null S. Abisha
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On resolving total dominating set of sunlet graphs
Journal of Physics: Conference Series, 2021 Abstract The set D ⊆ V(G) is called dominating set on graph G so that every vertex not in D is adjacent to at least one vertex in D. The set Dt ⊆ V(G) is called total dominating set on graph G so that the vertex in Dt are neighboring at least one dot in Dt . The smallest cardinality
R S R Ervani +4 more
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Bounds on weak and strong total domination in graphs
Electronic Journal of Graph Theory and Applications, 2016 A set $D$ of vertices in a graph $G=(V,E)$ is a total dominatingset if every vertex of $G$ is adjacent to some vertex in $D$. Atotal dominating set $D$ of $G$ is said to be weak if everyvertex $v\in V-D$ is adjacent to a vertex $u\in D$ such that$d_{G}(v)
M.H. Akhbari, Nader Jafari Rad
doaj +1 more source
On the Enumeration of Minimal Dominating Sets and Related Notions
, 2014 A dominating set $D$ in a graph is a subset of its vertex set such that each vertex is either in $D$ or has a neighbour in $D$. In this paper, we are interested in the enumeration of (inclusion-wise) minimal dominating sets in graphs, called the Dom-Enum
Kanté, Mamadou Moustapha +3 more
core +3 more sources
Minimal graphs with disjoint dominating and total dominating sets
Discussiones Mathematicae Graph Theory23 pages, 12 ...
Michael A. Henning, Jerzy Topp
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Total Efficient Domination in Fuzzy Graphs
IEEE Access, 2019 This study proposed total efficient domination in fuzzy graphs. The exact values on the total efficient domination number for several classes of fuzzy graphs are determined.
Xue-Gang Chen +2 more
doaj +1 more source
Clinical Insights Into Hypercalcemia of Malignancy in Childhood
Pediatric Blood &Cancer, EarlyView.ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley +1 more source
On the Total Outer k-Independent Domination Number of Graphs
Mathematics, 2020 A set of vertices of a graph G is a total dominating set if every vertex of G is adjacent to at least one vertex in such a set. We say that a total dominating set D is a total outer k-independent dominating set of G if the maximum degree of the subgraph ...
Abel Cabrera-Martínez +3 more
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Retinoblastoma (RB) is the most common pediatric ocular cancer, yet population‐based data on survival and risk factors remain limited. This study aimed to describe survival in a large national RB cohort and identify predictors of death and complications.
Samuel Sassine +14 more
wiley +1 more source