random_regular_graph(d, n, seed=None) 返回$n$节点上的随机$d$-正则图。 生成的图形没有自循环或平行边。 参数 d ( int )--每个节点的度数。 n …
内容提示: Models of random regular graphsN. C. WormaldSummarygether with an exposition of some of the main methods of obtaining these results.Related results on asymptotic enumeration are also presented, as well as variousgeneralisations to random graphs with given degree sequence. A major feature...
random regular graphsWe study Hamiltonicity and pancyclicity in the graph obtained as the union of a deterministic n$$ n $$‐vertex graph H$$ H $$ with δ(H)≥αn$$ delta (H)ge alpha n $$ and a random d$$ d $$‐regular graph G$$ G $$, for d∈{1,2}$$ din left{1,2...
Random Regular Graph GenerationTo generate a random regular graph, you need to ensure that each vertex has the same degree. This is done by randomly pairing vertices and connecting them while ensuring that the degree constraint is satisfied.Algorithm...
In a previous paper we showed that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. Here we extend the method to show that a random 6-regular graph asymptotically almost surely (a.a.s.) has chromatic number 4 and that the chromatic number of a ra...
Beside the Erdős–Rényi's G(n,p) model, another model of random graphs which also draws lots of attention is the model of random regular graphs. Let 1⩽d⩽n-1 be two positive integers, a random regular graph Gn,d is obtained by sampling uniformly at random over the set of all...
random regular graphstrictly balancedthresh-oldLet G n,d be a random d -regular graph with n vertices, where d = o ( n ). Given a fixed graph H , Y H denotes the number of induced copies of H in G n,d . In this paper, the authors determine the threshold of the event ?lt;i...
large random regular graphs, the most striking being that 5-regular random graph with a threshold of activation of 3 (resp. 6-regular with threshold 4) have contagious sets containing a fraction1/6(resp.1/4) of the total number of vertices. Equivalently these numbers are the minimal ...
研究点推荐 full replica symmetry breaking free energy random regular graph auxiliary variational problems full replica symmetry breaking free energy functional self-consistency equation Ising spin glass 站内活动 0关于我们 百度学术集成海量学术资源,融合人工智能、深度学习、大数据分析等技术,为科研工作者提供...
The natural connectivity quantifies the redundancy of alternative routes in the network by evaluating the weighted number of closed walks of all lengths and can be seen as an average eigenvalue obtained from the graph spectrum. In this paper, we explore both analytically and numerically the ...