Optimal scale-free small-world graphs with minimum scaling of cover time
The cover time of random walks on a graph has found wide practical applications in different
fields of computer science, such as crawling and searching on the World Wide Web and …
fields of computer science, such as crawling and searching on the World Wide Web and …
Efficient approximation of Kemeny's constant for large graphs
H **a, Z Zhang - Proceedings of the ACM on Management of Data, 2024 - dl.acm.org
For an undirected graph, its Kemeny's constant is defined as the mean hitting time of random
walks from one vertex to another chosen randomly according to the stationary distribution …
walks from one vertex to another chosen randomly according to the stationary distribution …
Fast computation of Kemeny's constant for directed graphs
H **a, Z Zhang - Proceedings of the 30th ACM SIGKDD Conference on …, 2024 - dl.acm.org
Kemeny's constant for random walks on a graph is defined as the mean hitting time from one
node to another selected randomly according to the stationary distribution. It has found …
node to another selected randomly according to the stationary distribution. It has found …
Measures and optimization for robustness and vulnerability in disconnected networks
The function or performance of a network is strongly dependent on its robustness, which
quantifies the ability of the network to continue functioning under perturbations. While a wide …
quantifies the ability of the network to continue functioning under perturbations. While a wide …
An efficient and scalable algorithm for estimating Kemeny's constant of a Markov chain on large graphs
The mean hitting time of a Markov chain on a graph from an arbitrary node to a target node
randomly chosen according to its stationary distribution is called Kemeny's constant, which …
randomly chosen according to its stationary distribution is called Kemeny's constant, which …
Resistance distances in simplicial networks
It is well known that in many real networks, such as brain networks and scientific
collaboration networks, there exist higher order nonpairwise relations among nodes, ie …
collaboration networks, there exist higher order nonpairwise relations among nodes, ie …
Resistance Eccentricity in Graphs: Distribution, Computation and Optimization
We study resistance eccentricity, a fundamental metric in network science for measuring the
structural significance of a node. For a node in a graph, the resistance eccentricity is its …
structural significance of a node. For a node in a graph, the resistance eccentricity is its …
[HTML][HTML] On Kemeny's constant and stochastic complement
Given a stochastic matrix P partitioned in four blocks P ij, i, j= 1, 2, Kemeny's constant κ (P) is
expressed in terms of Kemeny's constants of the stochastic complements P 1= P 11+ P 12 …
expressed in terms of Kemeny's constants of the stochastic complements P 1= P 11+ P 12 …
Modeling spatial networks by contact graphs of disk packings
Spatial networks are ubiquitous in the real world, with examples including Internet, power
grids, neural networks, and so on. In this paper, based on a proposed disk packing, we …
grids, neural networks, and so on. In this paper, based on a proposed disk packing, we …
Resistance distances in directed graphs: Definitions, properties, and applications
Resistance distance has been studied extensively in the past years, with the majority of
previous studies devoted to undirected networks, in spite of the fact that various realistic …
previous studies devoted to undirected networks, in spite of the fact that various realistic …