其中很大部分都是巧妙的利用 expander graph的性质,这篇文章会给大家补充一些expander graph的知识,在Part 3. 我们会正式进入 Dinur的证明。 扩展图 (Expander Graph) 扩展图是一种没有瓶颈的图,也就是说这是一种有很强的联通性的图。下面的定义就是根据它的这个性质定义的。 首先我们需要定义一下Edge ...
必应词典为您提供expander-graph的释义,网络释义: 扩充器图;膨胀图;扩展图;
Expander graph的一些性质 为了方便起见,我们这里只讨论d-正则图 定义一:假如对于任意的x我们都有: xTLHx⪯xTLGx 那么我们说H⪯G 定义二:我们说G是H的ϵ近似,如果满足: (1−ϵ)H⪯G⪯(1+ϵ)H 特别的,我们有xTLx=nxTx 性质一:Expander Graph的diameter(直径)很小 ...
expander graph博大精深,如果对expander graph的生成,family感兴趣,可以去看一下陶哲轩巨巨巨神的博客What's new,里面有篇博文讲了这些问题。 个人理解,算法可以归纳成一句话:如果expander图G是连通的,那么概率分布p在图G上随机游走l=O(logn)步后会高度逼近等概率分布。 证明见下:第一张图约定了一些符号,第二张...
node B in an (d,c) expander graph: At least (1+d)(1+c) nodes at distance 2 from A Further away, (1+d) (1+c) k nodes at distance k from A Continue until having a reachable set of nodes V A that has more than |V|/2 nodes: the node B may not be in V A Starting...
词汇expander graph 释义expander graph expander graph发音 意思翻译 膨胀图 相似词语短语 expanded range───延伸范围;扩展范围 expanded role───扩大角色 expanded metals───膨胀金属 aerograph───n.航空气象记录仪;气象记录仪 anemograph───n.自动记风仪;风力记录计 ...
扩展图(expander graph)是具备强连通性质的稀疏图,任意子集顶点都与外部保持高比例连接。这种结构在密码学、网络稳定性算法中有重要应用,例如纠错码设计依赖其高容错特性。 4. 医学器械与工业设备 医学上用于组织扩张术的器械,如皮肤扩张器通过注水逐步撑大局部组织,为修复手术创造空...
Efficient CNN designs like ResNets and DenseNet were proposed to improve accuracy vs efficiency trade-offs. They essentially increased the connectivity, allowing efficient information flow across layers. Inspired by these techniques, we propose to model connections between filters of a CNN using graphs ...
To achieve this, we present an authentication expander graph with constant degree. (Previous work used authentication graphs but required graphs with degree linear in the number of vertices.) (2) To build efficient, robust, and scalable overlay networks, we provide a construction using undirected ...
Every 0-1-matrix may be thought of as a bipartite graph, and so may every set system. Thus the subject i... AS Asratian,TMJ Denley,R Häggkvist - Cambridge University Press, 被引量: 328发表: 1998年 The spectral gap of graphs and Steklov eigenvalues on surfaces Hoory, S., Linial...