4 papers
How Do Emotions Spread And Affect Decision-Making In Social Networks? An Opinion Dynamics Perspective
Aditi Saxena, Twinkle Tripathy
Emotions affect how we think and perceive information. Motivated by this, we present a novel framework for modeling emotions, and study its impact in social networks. We represent…
Laplacian Flows in Complex-valued Directed Networks: Analysis, Design, and Consensus
Aditi Saxena, Twinkle Tripathy, Rajasekhar Anguluri
In the interdisciplinary field of network science, a complex-valued network, with edges assigned complex weights, provides a more nuanced representation of relationships by capturi…
Are the flows of complex-valued Laplacians and their pseudoinverses related?
Aditi Saxena, Twinkle Tripathy, Rajasekhar Anguluri
Laplacian flows model the rate of change of each node's state as being proportional to the difference between its value and that of its neighbors. Typically, these flows capture di…
Real Eventual Exponential Positivity of Complex-valued Laplacians: Applications to Consensus in Multi-agent Systems
Aditi Saxena, Twinkle Tripathy, Rajasekhar Anguluri
In this paper, we explore the property of eventual exponential positivity (EEP) in complex matrices. We show that this property holds for the real part of the matrix exponential fo…