Cover time for random walks on arbitrary complex networks
نویسندگان
چکیده
منابع مشابه
Cover time for random walks on arbitrary complex networks
We present an analytical method for computing the mean cover time of a discrete-time random walk process on arbitrary, complex networks. The cover time is defined as the time a random walker requires to visit every node in the network at least once. This quantity is particularly important for random search processes and target localization on network structures. Based on the global mean first-p...
متن کاملRandom walks on networks: cumulative distribution of cover time.
We derive an exact closed-form analytical expression for the distribution of the cover time for a random walk over an arbitrary graph. In special case, we derive simplified exact expressions for the distributions of cover time for a complete graph, a cycle graph, and a path graph. An accurate approximation for the cover time distribution, with computational complexity of O(2n) , is also present...
متن کاملRandom walks on complex networks.
We investigate random walks on complex networks and derive an exact expression for the mean first-passage time (MFPT) between two nodes. We introduce for each node the random walk centrality C, which is the ratio between its coordination number and a characteristic relaxation time, and show that it determines essentially the MFPT. The centrality of a node determines the relative speed by which ...
متن کاملA Generalized Cover Time for Random Walks on Graphs
Abstract. Given a random walk on a graph, the cover time is the rst time (number of steps) that every vertex has been hit (covered) by the walk. De ne the marking time for the walk as follows. When the walk reaches vertex vi, a coin is ipped and with probability pi the vertex is marked (or colored). We study the time that every vertex is marked. (When all the pi's are equal to 1, this gives the...
متن کاملThe Cover Time of Deterministic Random Walks
The rotor router model is a popular deterministic analogue of a random walk on a graph. Instead of moving to a random neighbor, the neighbors are served in a fixed order. We examine how fast this “deterministic random walk” covers all vertices (or all edges). We present general techniques to derive upper bounds for the vertex and edge cover time and derive matching lower bounds for several impo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2017
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.96.042307