Z_n Halkası üzerinde nilpotent grafların laplasyan spektral özellikleri

Year 2017, Volume: 21 Issue: 6, 1443 - 1447, 01.12.2017

Sezer Sorgun , Hatice Pınar Cantekin

https://doi.org/10.16984/saufenbilder.277822

Abstract

 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.

Keywords

Nilpotent graph, Laplasyan, Spektrum

Laplacian spectral properties of nilpotent graphs over ring Z_n

Abstract

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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