5 papers
A Vertex-Localized Positive Square-Energy Strengthening of Turán's Theorem
Abhay Jayarajan, M. Rajesh Kannan, Shivaramakrishna Pragada +1
Let be a graph of order with the adjacency eigenvalues . Let denote the maximum order of a clique containing vertex . We prove the…
Maximizing the algebraic connectivity of graphs of given order and size: a proof of a conjecture of Kolokolnikov
Sebastian M. Cioabă, Abhay Jayarajan, M. Rajesh Kannan +1
The algebraic connectivity of a graph is a well-studied graph invariant that is related to other properties of the graph such as connectivity and expansion. Given and ,…
Structural and extremal properties of -Fiedler value
M. Rajesh Kannan, Rahul Roy
The algebraic connectivity , defined as the second smallest eigenvalue of the Laplacian matrix , admits a well-known variational characterization involving the minimiza…
On the -analog of Algebraic Connectivity
M. Rajesh Kannan, Rahul Roy
The algebraic connectivity of a graph, defined as the second smallest eigenvalue of its Laplacian matrix, admits a well-known variational characterization involving the -no…
Dynamics of viable dark energy models in the presence of Curvature-Matter interactions
Anirban Chatterjee, Rahul Roy, Sayantan Dey +1
In this study, we analyze the dynamics of the interaction between dark matter and curvature-driven dark energy in viable gravity models using the framework of dynamical syst…