Lecture notes on random graphs and probabilistic :随机图和概率讲义 热度: Mixing Times for Random Walks on Geometric Random Graphs 热度: UNIVERSITYOFCALIFORNIA,SANDIEGO Randomwalksondirectedgraphsandorientationsofgraphs Adissertationsubmittedinpartialsatisfactionofthe ...
PageRank, the prestige measure for Web pages used by Google, is the stationary probability of a peculiar random walk on directed graphs, which interpolates between a pure random walk and a process where all nodes have the same probability of being visited. We give some exact results on the ...
首先考虑undirected connected unweighted graphs: 那么有adjacency matrix: 令pi(t) 为在t 时刻走到节点 i 上的概率,那么有 矩阵形式为: 那么有 图上的随机游走会收敛到一个limiting distribution (stationary distribution): Physics of Diffusion 2 Diffusion on graph 令\Phi(r,t) 是浓度(concentration),那么有...
Random Walks on Graphs - Home ERNET图上的随机游动的家庭网络 RandomWalkson Graphs-HomeERNET图上的随机游动的家庭网 络 Anexample t=0,AB 1 1/2 A 1 11 1/2 C 1/2 t=1,AB 1/2 t=2,ABC 11/2 1 1/2 SlidefromPurnamitraSarkar,RandomWalksonGraphs:AnOverview 6 Anexample t=0,AB 1 ...
In this note, we study the Martin boundary of the simple random walk on an example of directed graph. More precisely, the Martin boundary is shown to be trivial, i.e. there is no non-constant positive harmonic functions. The proof involves fine estimates of the Green function which are ...
左边的图共有两个cycles,上面的period=5,下面的period=6,因此最大公因数=1,是aperiodic graph 而右边的图,三个cycle的period=3,另一个period=6,因此最大公因数是3,就不是aperiodic graph Ranking on directed graph troubles: 1:Absorbing nodes 2:Source nodes智能...
theSpeisergraphofthecovering,anditisnaturaltoaskforacrite- rionforthetypeofthesurfaceintermsofpropertiesofthegraph.We showhowtodefinearandomwalkontheverticesofthegraph,sothat therandomwalkistransientifandonlyifthesurfaceishyperbolic. 1Thetypeproblem ...
This leads to the first known bounds for the non-lazy simple and max-degree walks on a (directed) graph, and even in the lazy case they are the first bounds of the optimal order. In particular, it is found that within a factor of two or four, the worst case of each of these ...
Random walk generation on RDF graph - DeepWalk inspired - GitHub - chrisPiemonte/TripWalk: Random walk generation on RDF graph - DeepWalk inspired
We consider a specific random graph which serves as a disordered medium for a particle performing biased random walk. Take a two-sided infinite horizontal