Results 41 to 50 of about 29,541 (268)
The modified first Zagreb connection index ZC1∗ is a graph invariant that appeared about fifty years ago within a study of molecular modeling, and after a long time, it has been revisited in two papers ((Ali and Trinajstić, 2018) and (Naji et al., 2017))
Sadia Noureen +2 more
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Biophysical approaches for studying viral entry
Viruses infect all living organisms and have been responsible for major epidemics and pandemics. Their ongoing evolutionary battle with host defenses creates a constant need for improved tools to study viral behavior. Advancing methods to probe viral attachment, fusion, and genome release deepen our understanding of how infections begin and support the
Inbar Yosibash, Raya Sorkin
wiley +1 more source
The Ceresa class and tropical curves of hyperelliptic type
We define a new algebraic invariant of a graph G called the Ceresa–Zharkov class and show that it is trivial if and only if G is of hyperelliptic type, equivalently, G does not have as a minor the complete graph on four vertices or the loop of three ...
Daniel Corey, Wanlin Li
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Group-invariant Percolation on Graphs [PDF]
For a closed group \(G\) of automorphisms of a graph \(X\), geometric properties such as amenability or unimodularity are related to \(G\)-invariant percolation processes. Origins of the problem may be situated in Kesten's theorem [\textit{H. Kesten}, Trans. Am. Math. Soc.
Benjamini, I. +3 more
openaire +2 more sources
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
Learning over the domain of 3D graphs has applications in a number of scientific and engineering disciplines, including molecular chemistry, high energy physics, and computer vision.
Eyal Rozenberg, Daniel Freedman
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Contraction–Deletion Invariants for Graphs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Béla Bollobás +2 more
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Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
This paper presents a new theoretical approach for the description of multidimensional objects for which 3D and 4D are particular cases. The approach is based on a curved space which is associated to each object.
Eric Paquet
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On the ρ-Edge Stability Number of Graphs
For an arbitrary invariant ρ(G) of a graph G the ρ-edge stability number esρ(G) is the minimum number of edges of G whose removal results in a graph H ⊆ G with ρ(H) ≠ ρ(G) or with E(H) = ∅.
Kemnitz Arnfried, Marangio Massimiliano
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