Results 11 to 20 of about 2,487,806 (297)
On the Edge-Connectivity of an Uncertain Random Graph
IEEE Access, 2020 Connectivity is one of the most important concepts in graph theory. When graph theory is applied to complex systems with indeterminate factors, uncertainty and randomness are two basic types of indeterminacy.
Hao Li, Hui Zhang
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The clustering coefficient of a scale-free random graph [PDF]
, 2009 We consider a random graph process in which, at each time step, a new vertex is added with m out-neighbours, chosen with probabilities proportional to their degree plus a strictly positive constant.
Eggemann, N, Noble, S D
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Random graph models for wireless communication networks [PDF]
, 2010 PhDThis thesis concerns mathematical models of wireless communication networks, in particular ad-hoc networks and 802:11 WLANs. In ad-hoc mode each of these devices may function as a sender, a relay or a receiver.
Song, Linlin
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The Spectral Distribution of Random Mixed Graphs
Axioms, 2022 In this work, we propose a random mixed graph model Gn(p(n),q(n)) that incorporates both the classical Erdős-Rényi’s random graph model and the random oriented graph model.
Yue Guan +7 more
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Degree distribution in random planar graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We prove that for each $k \geq 0$, the probability that a root vertex in a random planar graph has degree $k$ tends to a computable constant $d_k$, and moreover that $\sum_k d_k =1$. The proof uses the tools developed by Gimènez and Noy in their solution
Michael Drmota, Omer Gimenez, Marc Noy
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Rigorous Result for the CHKNS Random Graph Model [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 We study the phase transition in a random graph in which vertices and edges are added at constant rates. Two recent papers in Physical Review E by Callaway, Hopcroft, Kleinberg, Newman, and Strogatz, and Dorogovstev, Mendes, and Samukhin have computed ...
Rick Durrett
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The Random Plots Graph Generation Model for Studying Systems with Unknown Connection Structures
Entropy, 2022 We consider the problem of modeling complex systems where little or nothing is known about the structure of the connections between the elements. In particular, when such systems are to be modeled by graphs, it is unclear what vertex degree distributions
Evgeny Ivanko, Mikhail Chernoskutov
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Randomized graph cluster randomization
Journal of Causal Inference, 2023 Abstract The global average treatment effect (GATE) is a primary quantity of interest in the study of causal inference under network interference. With a correctly specified exposure model of the interference, the Horvitz–Thompson (HT) and Hájek estimators of the GATE are unbiased and consistent, respectively, yet
Ugander Johan, Yin Hao
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Limit distribution of the size of the giant component in a web random graph [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 Consider random graph with $N+ 1$ vertices as follows. The degrees of vertices $1,2,\ldots, N$ are the independent identically distributed random variables $\xi_1, \xi_2, \ldots , \xi_N$ with distribution $\mathbf{P}\{\xi_1 \geq k\}=k^{− \tau},$ $k= 1,2,\
Yuri Pavlov
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Limit Theorem for Spectra of Laplace Matrix of Random Graphs
Mathematics, 2023 We consider the limit of the empirical spectral distribution of Laplace matrices of generalized random graphs. Applying the Stieltjes transform method, we prove under general conditions that the limit spectral distribution of Laplace matrices converges ...
Alexander N. Tikhomirov
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