Results 1 to 10 of about 180,845 (215)
On the use of random graphs in analysing resource utilization in urban systems [PDF]
Royal Society Open Science, 2020 Urban resource models increasingly rely on implicit network formulations. Resource consumption behaviours documented in the existing empirical studies are ultimately by-products of the network abstractions underlying these models.
Hadi Arbabi +6 more
doaj +2 more sources
Asymptotic Degree Distributions in Random Threshold Graphs [PDF]
EntropyWe discuss several limiting degree distributions for a class of homogeneous random graphs, known as random threshold graphs, in the many node regime.
Armand M. Makowski, Siddharth Pal
doaj +2 more sources
Random matrices and random graphs* [PDF]
ESAIM: Proceedings and Surveys, 2023 We collect recent results on random matrices and random graphs. The topics covered are: fluctuations of the empirical measure of random matrices, finite-size effects of algorithms involving random matrices, characteristic polynomial of sparse matrices ...
Capitaine Mireille +4 more
doaj +1 more source
Colouring random geometric graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 A random geometric graph $G_n$ is obtained as follows. We take $X_1, X_2, \ldots, X_n ∈\mathbb{R}^d$ at random (i.i.d. according to some probability distribution ν on $\mathbb{R}^d$). For $i ≠j$ we join $X_i$ and $X_j$ by an edge if $║X_i - X_j ║< r(n)$.
Colin J. H. McDiarmid, Tobias Müller
doaj +1 more source
Perfect matchings in inhomogeneous random bipartite graphs in random environment
Cubo, 2022 In this note we study inhomogeneous random bipartite graphs in random environment. These graphs can be thought of as an extension of the classical Erd\H os-R\'enyi random bipartite graphs in a random environment.
Jairo Bochi +2 more
doaj +1 more source
Improved Expansion of Random Cayley Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2004 In Random Cayley Graphs and Expanders, N. Alon and Y. Roichman proved that for every ε > 0 there is a finite c(ε) such that for any sufficiently large group G, the expected value of the second largest (in absolute value) eigenvalue of the ...
Po-Shen Loh, Leonard J. Schulman
doaj +2 more sources
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
doaj +1 more source
Sigma Partitioning: Complexity and Random Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 A $\textit{sigma partitioning}$ of a graph $G$ is a partition of the vertices into sets $P_1, \ldots, P_k$ such that for every two adjacent vertices $u$ and $v$ there is an index $i$ such that $u$ and $v$ have different numbers of neighbors in $P_i$. The
Ali Dehghan +2 more
doaj +1 more source
Bipartite Random Graphs and Cuckoo Hashing [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 The aim of this paper is to extend the analysis of Cuckoo Hashing of Devroye and Morin in 2003. In particular we make several asymptotic results much more precise.
Reinhard Kutzelnigg
doaj +1 more source
Random Graphs' Robustness in Random Environment
Austrian Journal of Statistics, 2017 We consider configuration graphs the vertex degrees of which are independent and follow the power-law distribution. Random graphs dynamics takes place in a random environment with the parameter of vertex degree distribution following uniform ...
Marina Leri, Yury Pavlov
doaj +1 more source