Results 91 to 100 of about 115,450 (267)
Maximum Hypergraphs without Regular Subgraphs
We show that an n-vertex hypergraph with no r-regular subgraphs has at most 2n−1+r−2 edges. We conjecture that if n > r, then every n-vertex hypergraph with no r-regular subgraphs having the maximum number of edges contains a full star, that is, 2n−1 ...
Kim Jaehoon, Kostochka Alexandr V.
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Regular graphs with regular neighborhoods [PDF]
The existence of r-regular graphs such that each edge lies in exactly t triangles, for given integers t < r, is studied. If t is sufficiently close to r then each such connected graph has to be the complete multipartite graph. Relations to graphs with isomorphic neighborhoods are also considered.
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CRISPRI‐mediated gene silencing and phenotypic exploration in nontuberculous mycobacteria. In this Research Protocol, we describe approaches to control, monitor, and quantitatively assess CRISPRI‐mediated gene silencing in M. smegmatis and M. abscessus model organisms.
Vanessa Point +7 more
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On The Total Irregularity Strength of Regular Graphs
Let 𝐺 = (𝑉, 𝐸) be a graph. A total labeling 𝑓: 𝑉 ∪ 𝐸 → {1, 2, ⋯ , 𝑘} is called a totally irregular total 𝑘-labeling of 𝐺 if every two distinct vertices 𝑥 and 𝑦 in 𝑉 satisfy 𝑤𝑓(𝑥) ≠ 𝑤𝑓(𝑦) and every two distinct edges 𝑥1𝑥2 and 𝑦1𝑦2 in 𝐸 satisfy 𝑤𝑓(𝑥1𝑥2 ...
Rismawati Ramdani +2 more
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A tri‐culture of iPSC‐derived neurons, astrocytes, and microglia treated with ferroptosis inducers as an Induced ferroptosis model was characterized by scRNA‐seq, cell survival, and cytokine release assays. This analysis revealed diverse microglial transcriptomic changes, indicating that the system captures key aspects of the complex cellular ...
Hongmei Lisa Li +6 more
wiley +1 more source
New areas of fixed point results for multi-valued mappings and its applications [PDF]
In this paper, the notion of limit property (Tayyab kamran, 2004) and some notions and theorems (Tayyab kamran & Calogero Vetro & Muhammad Usman Ali & Mehwish Waheed, 2017) on metric space are generalized for multi-valued function on S-m spaces.
Akbar Pourgholam, Hojjat Afshari
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Regular Factors of Regular Graphs from Eigenvalues [PDF]
Let $r$ and $m$ be two integers such that $r\geq m$. Let $H$ be a graph with order $|H|$, size $e$ and maximum degree $r$ such that $2e\geq |H|r-m$. We find a best lower bound on spectral radius of graph $H$ in terms of $m$ and $r$. Let $G$ be a connected $r$-regular graph of order $|G|$ and $ k < r$ be an integer.
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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
Smallest Regular Graphs of Given Degree and Diameter
In this note we present a sharp lower bound on the number of vertices in a regular graph of given degree and diameter.
Knor Martin
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Regular character degree graphs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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