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math.SP2026
Neighbourhood second Zagreb matrix of graphs: spectral radius bounds and extremal graphs
Subhendu Chakraborty, Priti Prasanna Mondal
Let be a connected graph on at least two vertices, and let be the sum of the degrees of the neighbours of a vertex . The \emph{neighbourhood second Zagreb matrix} $\N…
math.CO2026
Spectral Radius, Vertex Deletion, and Chromatic Number of Signed Graphs
Abhay Jayarajan, M. Rajesh Kannan, Priti Prasanna Mondal +1
A signed graph is a graph with edges given signs or defined by the function . The adjacency matrix of is defined as per these signs. The relation betw…