3 papers
math.CO2026
The Dual-Server Domination Number of Some Graph Operations
Shrilaxmi Laxminarayana Rao, Sayinath Udupa N. V., Prathviraj N
A subset is called a dual-server dominating set if there exists a partition of such that every vertex in has at least one nei…
math.CO2025
On extremal graphs with respect to the ABS index
Swathi Shetty, B. R. Rakshith, Sayinath Udupa N.
Recently, Ali et al. posed several open problems concerning extremal graphs with respect to the ABS index. These problems involve characterizing graphs that attain the maximum ABS…
math.CO2024
On the spectrum and energy of graphs
Swathi Shetty, B. R. Rakshith, Sayinath Udupa N.
Let be the eigenavalues of matrix. In this paper, we characterize connected graphs with eigenvalue . As…