Results 31 to 40 of about 5,903,622 (201)
Resilience of perfect matchings and Hamiltonicity in random graph processes [PDF]
Let {Gi} be the random graph process: starting with an empty graph G0 with n vertices, in every step i ≥ 1 the graph Gi is formed by taking an edge chosen uniformly at random among the nonexisting ones and adding it to the graph Gi − 1.
R. Nenadov, A. Steger, Milos Trujic
semanticscholar +1 more source
Data Collection Based on Opportunistic Node Connections in Wireless Sensor Networks
The working⁻sleeping cycle strategy used for sensor nodes with limited power supply in wireless sensor networks can effectively save their energy, but also causes opportunistic node connections due to the intermittent communication mode, which can ...
Guisong Yang, Zhiwei Peng, Xingyu He
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On the Validity of Neural Mass Models
Modeling the dynamics of neural masses is a common approach in the study of neural populations. Various models have been proven useful to describe a plenitude of empirical observations including self-sustained local oscillations and patterns of distant ...
Nicolás Deschle +6 more
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We introduce a pair of natural, equivalent models for random threshold graphs and use these models to deduce a variety of properties of random threshold graphs. Specifically, a random threshold graph $G$ is generated by choosing $n$ IID values $x_1,\ldots,x_n$ uniformly in $[0,1]$; distinct vertices $i,j$ of $G$ are adjacent exactly when $x_i + x_j \ge
Reilly, Elizabeth Perez +1 more
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Random graph models for dynamic networks [PDF]
Recent theoretical work on the modeling of network structure has focused primarily on networks that are static and unchanging, but many real-world networks change their structure over time.
Xiao Zhang, Cristopher Moore, M. Newman
semanticscholar +1 more source
On the Vertex-Connectivity of an Uncertain Random Graph
In many practical problems, randomness and uncertainty simultaneously appear in one complex system or network. When graph theory is applied to these problems, these complex systems or networks are usually represented by uncertain random graphs, in which ...
Hao Li, Xin Gao
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9 pages, report CPTH-A264 ...
Bachas, C. +2 more
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Directed random geometric graphs: structural and spectral properties
In this work we analyze structural and spectral properties of a model of directed random geometric graphs: given n vertices uniformly and independently distributed on the unit square, a directed edge is set between two vertices if their distance is ...
Kevin Peralta-Martinez +1 more
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Random Trees in Random Graphs [PDF]
We show that a random labeled n n -vertex graph almost surely contains isomorphic copies of almost all labeled n n -vertex trees, in two senses. In the first sense, the probability of each edge occurring in the graph diminishes as n n increases, and the set of trees referred to as "almost all" depends
Bender, E. A., Wormald, N. C.
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Taylor’s power law for the
Taylor’s power law states that the variance function decays as a power law. It is observed for population densities of species in ecology. For random networks another power law, that is, the power law degree distribution is widely studied.
István Fazekas +2 more
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