3 papers
math.CO2026
Secure coalitions in graphs
Swathi Shetty, Sayinath Udupa N. V., B. R. Rakshith
A secure coalition in a graph consists of two disjoint vertex sets and , neither of which is a secure dominating set, but whose union forms a secure d…
math.CO2025
Extremal Spectral Radius in Bicyclic and Bipartite Unicyclic Graphs
Swathi Shetty, B. R. Rakshith, Sayinath Udupa N.
The ABS spectral radius of a graph G is defined as the largest eigenvalue of its matrix. Motivated by recent studies on this parameter, in this paper, we determine the bipart…
math.CO2025
On Coalition Graphs and Coalition Count of Graphs
Swathi Shetty, Sayinath Udupa N. V., B. R. Rakshith
Let be graph with vertex set and order . A coalition in a graph consists of two disjoint sets of vertices and , neither of which is a dominating set bu…