Coloring of graphs associated with commutative rings

Normalized Laplacian Energy and Distance Based Energy for Cross Monic Zero Divisor Graphs Associated with Commutative Ring

“…Investigation of the spectral properties of matrices associated with graphs is always interesting and challenging. We note that the graphs associated with different algebraic structures, for instance, power graphs [7], annihilator monic prime graph [8] and commuting graphs of groups [9,10] have helped to solve several problems both in algebra and combinatorics. Alali et al [11], implies a study of algebraic structures within Z n and their connections with topological indices and entropies, underscoring the interdisciplinary intersection of algebra and graph theory.…”