Примеры использования Random graph на Английском языке и их переводы на Русский язык
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Thus appear random graphs H n, p.
Different random graph models produce different probability distributions on graphs. .
Almost every sufficiently sparse random graph is pseudoforest.
Given a random graph of n{\displaystyle n} nodes and an average degree⟨ k⟩{\displaystyle\langle k\rangle.
Every bipartite graph is of class 1, and almost all random graphs are of class 1.
In mathematics, random graph is the general term to refer to probability distributions over graphs. .
The spectral density of BA model has a different shape from the semicircular spectral density of random graph.
However, for c> 1/2,almost every random graph with cn edges has a large component that is not unicyclic.
In particular, the moment the last isolated vertex vanishes in almost every random graph, the graph becomes connected.
Let n be very large and consider a random graph G on n vertices, where every edge in G exists with probability p n1/g-1.
In this article,the maximal size of c-dense subgraph almost surely included in random graph G(n, 1/2) was evaluated.
The researcher plans to test these hypotheses by Quadratic Assignment Procedure and Exponential Random Graph model.
Another model, which generalizes Gilbert's random graph model, is the random dot-product model.
A universal graph of this type was first constructed by Richard Rado andis now called the Rado graph or random graph.
Decomposition elements relation design is been modeled as connected random graph construction process by Erdosh-Renyi model.
The existence of a property on a random graph can often imply, via the Szemerédi regularity lemma, the existence of that property on almost all graphs. .
We consider the problem of finding large hidden clique in random graph and it's analog for bipartite graphs. .
International Laboratory for Applied Network Research is delighted to invite applications for its fifth summer school,"Theory and methods of Exponential Random Graph Modeling.
The critical probability p is defined as the unique p such that a random graph G(n, p) possesses this property with probability equal to 1/2.
A random graph G(n, p) is a graph on n vertices where each edge is chosen to be present with probability p independent of all the other edges.
Renyi initiated the study of the binomial model of a random graph G( n, p), in which edges on n vertices are drawn independently, each with probability p.
If instead we start with an infinite set of vertices, and again let every possible edge occur independently with probability 0< p< 1,then we get an object G called an infinite random graph.
Thus any countably infinite random graph is almost surely the Rado graph, which for this reason is sometimes called simply the random graph.
The actual form has a double logarithmic correction and goes as ℓ∼ ln N ln ln N.{\displaystyle\ell\sim{\frac{\ln N}{\ln\ln N}}.}The BA model has a systematically shorter average path length than a random graph.
See especially Corollary 24, pp. 120,for a bound on the number of vertices belonging to unicyclic components in a random graph, and Corollary 19, pp. 113, for a bound on the number of distinct labeled unicyclic graphs. .
With high probability, for a random graph in which the ratio of the number of edges to the number of vertices is bounded below 1/2, the graph is a pseudoforest and the cuckoo hashing algorithm succeeds in placing all keys.
Its practical applications are found in all areas in which complex networks need to be modeled- a large number of random graph models are thus known, mirroring the diverse types of complex networks encountered in different areas.
Given a random graph G of order n with the vertex V(G){1,…, n}, by the greedy algorithm on the number of colors, the vertices can be colored with colors 1, 2,… vertex 1 is colored 1, vertex 2 is colored 1 if it is not adjacent to vertex 1, otherwise it is colored 2, etc.