Multivariate time series (MTS) forecasting plays an essential role in the automation and optimization process of intelligent applications. However, capturing correlations and dependencies among variables in MTS data remains a major challenge for ...

Using the relational coarsest partition (RCP) method, this article aims to study the observability problem of probabilistic Boolean networks (PBNs). The key step to solving this problem is to find the parallel cycle and the coarsest refinement ...

The aim of inductive temporal link prediction is to forecast future edges associated with nodes unseen during training, which is a crucial task in the field of temporal network analysis. Existing methods mainly make predictions by learning from ...

This article deals with finite/fixed-time cluster synchronization (FnTCS/FdTCS) issue for directed and multiplex coupled dynamic networks (MCDNs). Finite/fixed-time synchronization of multiplex networks has become a popular research topic, which ...

Empirical networks possess considerable heterogeneity of node connections, resulting in a small portion of nodes playing crucial roles in network structure and function. Yet, how to characterize nodes' influence and identify vital nodes is by far ...

With the rapid advancement in cyber-physical systems, the increasing number of sensors has significantly complicated manual monitoring of system states. Consequently, graph-based time series anomaly detection methods have gained attention due to ...

This paper is concerned with the stability analysis of stochastic delayed multi-links complex networks with semi-Markov switched topology (SDMNST). It ought to be highlighted that a time-varying hybrid aperiodically intermittent ...

Rumors do the social’s perception seal, leaving people untouched with the true thing. Since the harmfulness of rumors is well known, in order to cut off the net of rumors and make the society run in order, it is necessary to have a deeper ...

The identification of influential nodes in complex networks has been a topic of immense interest. In most cases, the local approach represented by degree centrality performs well but has limitations when dealing with the bridge nodes. ...

Cohesive subgraph discovery in a network is one of the fundamental problems and investigated for several decades. In this paper, we propose the Overlapping Cohesive Subgraphs with Minimum degree (OCSM) problem which combines three key ...

This paper concentrates on the impact of stochastic function perturbation (SFP) on the set stability of PBNs. The problem of robust set stability is divided into two cases, and they are respectively the perturbed column of the ...

A complex network is a network that has the characteristics of small world, clustering, and power-law distribution. The discovery of crucial spreaders, as one of the significant research directions in complex networks, is mainly used ...

A majority of real life networks are weighted and sparse. The present article aims at characterization of weighted networks based on sparsity, as an indicator of inherent diversity of different network parameters. The measure called s...

Community detection has been a significant and long-standing task in network analysis. While existing methods tend to focus on the assortative structure where communities are densely connected internally, in reality other kinds of network ...

Immunizing a subset of nodes in a network - enabling them to identify and withstand the spread of harmful content - is one of the most effective ways to counter the spread of malicious content. It has applications in network security, ...

• A novel mathematical model, referred to as a temporal multilayer network, is proposed for exploring complex networked systems with time and space.

Although networks provide a powerful methodology to study a variety of real-world and engineered systems, their current formulation does not typically account for multiple interaction types that vary in space and time, or address ...

In this paper, we extend and generalize the spectral theory of undirected networks towards directed networks by introducing the Hermitian normalized Laplacian matrix for directed networks. In order to start, we discuss the Courant–...

• A Quick Inclusion-Exclusion (QIE) technique is proposed.
• The proposed QIE is ...

The reliability of modern information systems modeled as multi-state flow networks (MFNs) is a crucial concern the planning, design and control of these systems. The inclusion-exclusion technique (IET) is a popular tool for assessing ...

The Shortest Path in networks is an important problem incombinatorial optimization and has many applications in areas like telecommunications and transportation. It is known that this problem is easy to solve in its classic ...

In this study, we investigate some properties of capacity factors (CFs) that may affect the link failure problem in network coding. Roughly speaking, a CF is an edge set where its deletion will reduce the maximum flow, whereas deleting any proper subset ...