Results 51 to 60 of about 310,757 (283)
Counting Independent Sets of a Fixed Size in Graphs with Given Minimum Degree [PDF]
, 2014 Galvin showed that for all fixed δ and sufficiently large n, the n-vertex graph with minimum degree δ that admits the most independent sets is the complete bipartite graph .
Engbers, John, Galvin, David
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, 2016 We prove a general multi-dimensional central limit theorem for the expected number of vertices of a given degree in the family of planar maps whose vertex degrees are restricted to an arbitrary (finite or infinite) set of positive integers D. Our results rely on a classical bijection with mobiles (objects exhibiting a tree structure), combined with ...
Collet, Gwendal +2 more
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FEBS Open Bio, EarlyView.Mouse pre‐implantation development involves a transition from totipotency to pluripotency. Integrating transcriptomics, epigenetic profiling, low‐input proteomics and functional assays, we show that eight‐cell embryos retain residual totipotency features, whereas cytoskeletal remodeling regulated by the ubiquitin‐proteasome system drives progression ...
Wanqiong Li +8 more
wiley +1 more source
Random graphs with arbitrary degree distributions and their applications
, 2001 Recent work on the structure of social networks and the internet has focussed attention on graphs with distributions of vertex degree that are significantly different from the Poisson degree distributions that have been widely studied in the past.
A. Broder +46 more
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FEBS Open Bio, EarlyView.UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
wiley +1 more source
Limit distributions of maximum vertex degree in a conditional configuration graph
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2018 We consider configuration graphs with N vertices. The degrees of the vertices are independent identically distributed random variables following the power-law distribution with positive parameter τ.
Irina Cheplyukova
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Concepts of vertex regularity in cubic fuzzy graph structures with an application
Frontiers in Physics, 2023 The cubic fuzzy graph structure, as a combination of cubic fuzzy graphs and fuzzy graph structures, shows better capabilities in solving complex problems, especially in cases where there are multiple relationships.
Li Li +3 more
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Further Inequalities Between Vertex-Degree-Based Topological Indices [PDF]
International Journal of Applied and Computational Mathematics, 2016 9 pages and one table ...
Ali, Akbar +2 more
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Functional Connectivity Linked to Cognitive Recovery After Minor Stroke
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Patients with minor stroke exhibit slowed processing speed and generalized alterations in functional connectivity involving frontoparietal cortex (FPC). The pattern of connectivity evolves over time. In this study, we examine the relationship of functional connectivity patterns to cognitive performance, to determine ...
Vrishab Commuri +7 more
wiley +1 more source
On degree-sequence characterization and the extremal number of edges for various Hamiltonian properties under fault tolerance [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 Assume that $n, \delta ,k$ are integers with $0 \leq k < \delta < n$. Given a graph $G=(V,E)$ with $|V|=n$. The symbol $G-F, F \subseteq V$, denotes the graph with $V(G-F)=V-F$, and $E(G-F)$ obtained by $E$ after deleting the edges with at least one ...
Shih-Yan Chen, Shin-Shin Kao, Hsun Su
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