Z_n Halkası üzerinde nilpotent grafların laplasyan spektral özellikleri

birimli bir halka olsun. ' nin ile gösterilen nilpotent grafı, noktalar kümesi ve , halkasının bütün nilpotent elemanlarının kümesi olmak üzere; “iki farklı ve noktaları komşudur ” önermesini sağlayan kenarlar kümesinden oluşur. Bu makalede halkası üzerinde tanımlanan nilpotent grafın Laplasyan spektral özellikleri incelenmektedir.

Anahtar Kelimeler:

Nilpotent graph, Laplasyan, Spektrum

Laplacian spectral properties of nilpotent graphs over ring Z_n

We consider a ring with unity. The nilpotent graph of is a graph with vertex set ; and two distinct vertices and are adjacent iff , where is the set of all nilpotent elements of and it is denoted by. In this paper we study Laplacian spectral properties of the nilpotent graph over the ring .

Keywords:

Nilpotent Graph, Laplacian matrix, Spectrum,

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