Results 81 to 90 of about 10,021,129 (363)

On a Relation between the Perfect Roman Domination and Perfect Domination Numbers of a Tree

open access: yesMathematics, 2020
A dominating set in a graph G is a set of vertices S ⊆ V ( G ) such that any vertex of V − S is adjacent to at least one vertex of S .
Zehui Shao   +4 more
doaj   +1 more source

A note on the bounds of Roman domination numbers

open access: yesAIMS Mathematics, 2021
Let $G$ be a graph and $f: V(G) \rightarrow \{0,1,2\}$ be a mapping. $f$ is said to be a Roman dominating function of $G$ if every vertex $u$ for which $f(u) = 0$ is adjacent to at least one vertex $v$ for which $f(v)=2$.
Zepeng Li
doaj   +1 more source

The bondage number of random graphs [PDF]

open access: yes, 2016
A dominating set of a graph is a subset $D$ of its vertices such that every vertex not in $D$ is adjacent to at least one member of $D$. The domination number of a graph $G$ is the number of vertices in a smallest dominating set of $G$.
Mitsche, Dieter   +2 more
core   +2 more sources

Graphs with large semipared domination number

open access: yesDiscussiones Mathematicae Graph Theory, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haynes, Teresa W., Henning, Michael A.
openaire   +3 more sources

Trees with vertex-edge Roman Domination number twice the domination number minus one

open access: yesProyecciones (Antofagasta), 2020
A vertex-edge Roman dominating function (or just ve-RDF) of a graph G = (V, E) is a function f : V (G) → {0, 1, 2} such that for each edge e = uv either max{f (u), f (v)} ≠ 0 or there exists a vertex w such that either wu ∈ E or wv ∈ E and f (w) = 2. The weight  of a ve-RDF is the sum of its function values over all vertices.
H. Naresh Kumar, Y. B. Venkatakrishnan
openaire   +3 more sources

By dawn or dusk—how circadian timing rewrites bacterial infection outcomes

open access: yesFEBS Letters, EarlyView.
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo   +2 more
wiley   +1 more source

On (t,r) Broadcast Domination Numbers of Grids [PDF]

open access: yes, 2014
The domination number of a graph $G = (V,E)$ is the minimum cardinality of any subset $S \subset V$ such that every vertex in $V$ is in $S$ or adjacent to an element of $S$.
Blessing, David   +3 more
core  

The domination number of K_{n}^3

open access: yesDiscussiones Mathematicae Graph Theory, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Georges John, Lin Jianwei, Mauro David
openaire   +3 more sources

Structural insights into lacto‐N‐biose I recognition by a family 32 carbohydrate‐binding module from Bifidobacterium bifidum

open access: yesFEBS Letters, EarlyView.
Bifidobacterium bifidum establishes symbiosis with infants by metabolizing lacto‐N‐biose I (LNB) from human milk oligosaccharides (HMOs). The extracellular multidomain enzyme LnbB drives this process, releasing LNB via its catalytic glycoside hydrolase family 20 (GH20) lacto‐N‐biosidase domain.
Xinzhe Zhang   +5 more
wiley   +1 more source

The domination number and the least $Q$-eigenvalue [PDF]

open access: yes, 2013
A vertex set $D$ of a graph $G$ is said to be a dominating set if every vertex of $V(G)\setminus D$ is adjacent to at least a vertex in $D$, and the domination number $\gamma(G)$ ($\gamma$, for short) is the minimum cardinality of all dominating sets of $
Guo, Shu-Guang   +3 more
core  

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