Results 71 to 80 of about 9,635,811 (355)
Graphs with Constant Sum of Domination and Inverse Domination Numbers [PDF]
International Journal of Combinatorics, 2012 A subset D of the vertex set of a graph G, is a dominating set if every vertex in V−D is adjacent to at least one vertex in D. The domination number γ(G) is the minimum cardinality of a dominating set of G. A subset of V−D, which is also a dominating set of G is called an inverse dominating set of G with respect to D. The inverse domination number γ′(G)
Chelvam, T. Tamizh, Asir, T.
openaire +1 more source
$ k $-domination and total $ k $-domination numbers in catacondensed hexagonal systems
Mathematical Biosciences and Engineering, 2022 <abstract><p>In this paper we study the $ k $-domination and total $ k $-domination numbers of catacondensed hexagonal systems. More precisely, we give the value of the total domination number, we find upper and lower bounds for the $ 2 $-domination number and the total $ 2 $-domination number, characterizing the catacondensed hexagonal ...
Sergio Bermudo +2 more
openaire +4 more sources
By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS 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
FEBS 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
On a Relation between the Perfect Roman Domination and Perfect Domination Numbers of a Tree
Mathematics, 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
Block Graphs with Large Paired Domination Multisubdivision Number
Discussiones Mathematicae Graph Theory, 2021 The paired domination multisubdivision number of a nonempty graph G, denoted by msdpr(G), is the smallest positive integer k such that there exists an edge which must be subdivided k times to increase the paired domination number of G.
Mynhardt Christina M., Raczek Joanna
doaj +1 more source
A note on the bounds of Roman domination numbers
AIMS 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
Graphs with large semipared domination number
Discussiones Mathematicae Graph Theory, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haynes, Teresa W., Henning, Michael A.
openaire +3 more sources
Molecular bases of circadian magnesium rhythms across eukaryotes
FEBS Letters, EarlyView.Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley +1 more source
The domination number of K_{n}^3
Discussiones Mathematicae Graph Theory, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Georges John, Lin Jianwei, Mauro David
openaire +3 more sources