15 papers
Influence Enhancement in Opinion Dynamics Using Edge Modification: A Kron Reduction-Based Approach
Aashi Shrinate, Aravind Seshadri, Twinkle Tripathy +3
With the emergence of online social networks as a primary platform for advertising and advocacy, enhancing a user's influence has become of significant interest. In this paper, we…
Structural Sign Herdability in Temporal Networks: A Sufficient Condition via -Graphs
Pradeep M, Twinkle Tripathy
In this letter, we study the herdability of temporally switching directed networks. A temporal network is modeled as a switched system with a fixed switching sequence, which impose…
Topological Conditions for Echo Chamber Formation under the FJ model: A Cluster Consensus-based Approach
Aashi Shrinate, Twinkle Tripathy, Laxmidhar Behera
The Friedkin-Johnsen (FJ) model is a popular opinion dynamics model that explains the disagreement that can occur even among closely interacting individuals. Cluster consensus is a…
Topology-based Conditions for Multiconsensus under the Signed Friedkin-Johnsen Model
Aashi Shrinate, Tanmay Siddharth, Twinkle Tripathy
In this paper, we address the multiconsensus problem in networked systems, where agents are partitioned into disjoint subgroups and the states of agents within a subgroup are drive…
Structural Sign Herdability in Temporally Switching Networks with Fixed Topology
Pradeep M, Twinkle Tripathy
This paper investigates structural herdability in a special class of temporally switching networks with fixed topology. We show that when the underlying digraph remains unchanged a…
Steering Opinion Dynamics in Signed Time-Varying Networks via External Control Input
Swati Priya, Twinkle Tripathy
This paper studies targeted opinion formation in multi-agent systems evolving over signed, time-varying directed graphs. The dynamics of each agent's state follow a Laplacian-based…
Structural sign herdability of linear time-invariant systems:theory and design for arbitrary network structures
Pradeep M, Twinkle Tripathy
The objective of this paper is to investigate graph-theoretic conditions for structural herdability of an LTI system. In particular, we are interested in the structural sign (SS) h…
A Signed Friedkin-Johnsen Model for Arbitrary Network Topologies
Aashi Shrinate, Twinkle Tripathy
The paper presents an opposing rule-based signed Friedkin-Johnsen (SFJ) model for the evolution of opinions in arbitrary network topologies with signed interactions and stubborn ag…
Opinion Clustering under the Friedkin-Johnsen Model: Agreement in Disagreement
Aashi Shrinate, Twinkle Tripathy
The convergence of opinions in the Friedkin-Johnsen (FJ) framework is well studied, but the topological conditions leading to opinion clustering remain less explored. To bridge thi…
Leveraging Network Topology in a Two-way Competition for Influence in the Friedkin-Johnsen Model
Aashi Shrinate, Twinkle Tripathy
In this paper, we consider two stubborn agents who compete for `influence' over a strongly connected group of agents. This framework represents real-world contests, such as competi…
Dominant Groups and Asymmetric Polarization in Generalized Quasi-Structurally Balanced Networks
Vishnudatta Thota, Swati Priya, Twinkle Tripathy
The paper focuses on the phenomenon of asymmetric polarization arising in the presence of a dominant group in the network. The existing works in the literature analyze polarization…
Towards influence centrality: where to not add an edge in the network?
Aashi Shrinate, Twinkle Tripathy
In this work, we consider a strongly connected group of individuals involved in decision-making. The opinions of the individuals evolve using the Friedkin-Johnsen (FJ) model. We co…
External Bias and Opinion Clustering in Cooperative Networks
Akshay Nagesh Kamthe, Vishnudatta Thota, Aashi Shrinate +1
In this work, we consider a group of n agents which interact with each other in a cooperative framework. A Laplacian-based model is proposed to govern the evolution of opinions in…
Absolute centrality in a signed Friedkin-Johnsen based model: a graphical characterisation of influence
Aashi Shrinate, Twinkle Tripathy
This paper studies the evolution of opinions governed by a Friedkin Johnsen (FJ) based model in arbitrary network structures with signed interactions. The agents contributing to th…
Designing Laplacian flows for opinion clustering in structurally balanced and unbalanced networks
Vishnudatta Thota, Twinkle Tripathy, Debasattam Pal
In this work, we consider a group of n agents whose interactions can be represented using unsigned or signed structurally balanced graphs or a special case of structurally unbalanc…