Optimal scale-free small-world graphs with minimum scaling of cover time

W Xu, Z Zhang - ACM Transactions on Knowledge Discovery from Data, 2023 - dl.acm.org
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 …

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 …

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 …

Measures and optimization for robustness and vulnerability in disconnected networks

L Zhu, Q Bao, Z Zhang - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
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 …

An efficient and scalable algorithm for estimating Kemeny's constant of a Markov chain on large graphs

S Li, X Huang, CH Lee - Proceedings of the 27th ACM SIGKDD …, 2021 - dl.acm.org
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 …

Resistance distances in simplicial networks

M Zhu, W Xu, Z Zhang, H Kan, G Chen - The Computer Journal, 2023 - academic.oup.com
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 …

Resistance Eccentricity in Graphs: Distribution, Computation and Optimization

Z Lu, X Zhou, AN Zehmakan… - 2024 IEEE 40th …, 2024 - ieeexplore.ieee.org
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 …

[HTML][HTML] On Kemeny's constant and stochastic complement

DA Bini, F Durastante, S Kim, B Meini - Linear Algebra and its Applications, 2024 - Elsevier
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 …

Modeling spatial networks by contact graphs of disk packings

M Zhu, H Sun, W Li, Z Zhang - Theoretical Computer Science, 2023 - Elsevier
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 …

Resistance distances in directed graphs: Definitions, properties, and applications

M Zhu, L Zhu, H Li, W Li, Z Zhang - Theoretical Computer Science, 2024 - Elsevier
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 …