Results 41 to 50 of about 274,053 (268)
The number of planar graphs and properties of random planar graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 We show an asymptotic estimate for the number of labelled planar graphs on $n$ vertices. We also find limit laws for the number of edges, the number of connected components, and other parameters in random planar graphs.
Omer Gimenez, Marc Noy
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A Continuous-Time Network Evolution Model Describing 2- and 3-Interactions
Mathematics, 2021 A continuous-time network evolution model is considered. The evolution of the network is based on 2- and 3-interactions. 2-interactions are described by edges, and 3-interactions are described by triangles.
István Fazekas, Attila Barta
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On the Spread of Random Graphs
Combinatorics, Probability and Computing, 2014 The spread of a connected graph G was introduced by Alon, Boppana and Spencer [1], and measures how tightly connected the graph is. It is defined as the maximum over all Lipschitz functions f on V(G) of the variance of f(X) when X is uniformly distributed on V(G).
Addario-Berry, L +2 more
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Asymptotic Behavior of the Edge Metric Dimension of the Random Graph
Discussiones Mathematicae Graph Theory, 2021 Given a simple connected graph G(V,E), the edge metric dimension, denoted edim(G), is the least size of a set S ⊆ V that distinguishes every pair of edges of G, in the sense that the edges have pairwise different tuples of distances to the vertices of S.
Zubrilina Nina
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FEBS Letters, EarlyView.In this study, we found that human cervical‐derived adipocytes maintain intracellular iron level by regulating the expression of iron transport‐related proteins during adrenergic stimulation. Melanotransferrin is predicted to interact with transferrin receptor 1 based on in silico analysis.
Rahaf Alrifai +9 more
wiley +1 more source
A Comprehensive Approach to Synthetic Distribution Grid Generation: Erdős–Rényi to Barabási-Albert [PDF]
AUT Journal of Electrical EngineeringIn this extended study, the focus is on advancing the generation of synthetic distribution grids (SDGs) through the introduction of a new algorithm based on the Barabási-Albert random graph model.
Mohammad Shahraeini
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pH‐mediated activation of the lysosomal arginine sensor SLC38A9
FEBS Letters, EarlyView.Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
wiley +1 more source
Random subgraphs of certain graph powers
International Journal of Mathematics and Mathematical Sciences, 2002 We determine the limiting probability that a random subgraph of the Cartesian power Kan or of Ka,an is connected.
Lane Clark
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Estrada Index and Laplacian Estrada Index of Random Interdependent Graphs
Mathematics, 2020 Let G be a simple graph of order n. The Estrada index and Laplacian Estrada index of G are defined by E E ( G ) = ∑ i = 1 n e λ i ( A ( G ) ) and L E E ( G ) = ∑ i = 1 n e λ i ( L ( G ) ) , where { λ i
Yilun Shang
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Two modified Zagreb indices for random structures
Main Group Metal Chemistry, 2021 Random structure plays an important role in the composition of compounds, and topological index is an important index to measure indirectly the properties of compounds.
Li Siman, Shi Li, Gao Wei
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