Random Walks between Leaves of Random Networks
نویسنده
چکیده
We consider random walks that start and are absorbed on the leaves of random networks and study the length of such walks. For the networks we investigate, Erdős-Rényi random graphs and Barabási-Albert scale free networks, these walks are not transient and we consider various approaches to computing the probability of a given length walk. One approach is to label nodes according to both their total degree and the number of links connected to leaf nodes, and as a byproduct we compute the probability of a random node of a scale free network having such a label.
منابع مشابه
Electric Networks and Commute Time
The equivalence of random walks on weighted graphs with reversible Markov chains has long been known. Another such correspondence exists between electric networks and these random walks. Results in the language of random walks have analogues in the language of electric networks and visa versa. We outline this correspondence and describe how to translate several of the major terms of electric ne...
متن کاملA PRELUDE TO THE THEORY OF RANDOM WALKS IN RANDOM ENVIRONMENTS
A random walk on a lattice is one of the most fundamental models in probability theory. When the random walk is inhomogenous and its inhomogeniety comes from an ergodic stationary process, the walk is called a random walk in a random environment (RWRE). The basic questions such as the law of large numbers (LLN), the central limit theorem (CLT), and the large deviation principle (LDP) are ...
متن کاملRandom Walks on Hypergraphs with Applications to Disease-Gene Prioritization
Typically, gene interaction networks are expressed as graphs, storing pairwise interactions between genes. Because of the vast amount of literature on statistical graph inference, this is a useful representation in practice. However, such a pairwise representation ignores more complex features of gene interactions, such as gene regulation and assembly. In this thesis, we propose a hypergraph mo...
متن کاملNavigation by anomalous random walks on complex networks
Anomalous random walks having long-range jumps are a critical branch of dynamical processes on networks, which can model a number of search and transport processes. However, traditional measurements based on mean first passage time are not useful as they fail to characterize the cost associated with each jump. Here we introduce a new concept of mean first traverse distance (MFTD) to characteriz...
متن کاملFirst Hitting times of Simple Random Walks on Graphs with Congestion Points
We derive the explicit formulas of the probability generating functions of the first hitting times of simple random walks on graphs with congestion points using group representations. 1. Introduction. Random walk on a graph is a Markov chain whose state space is the vertex set of the graph and whose transition from a given vertex to an adjacent vertex along an edge is defined according to some ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/1207.6994 شماره
صفحات -
تاریخ انتشار 2012