Consider a simple graph G with vertex set V (G) and edge set E (G). A graph invariant for G
is a number related to the structure of G, which is invariant under the symmetry of G. The …

Recently, Gutman introduced a class of novel topological invariants named Sombor index
which is defined as SOG=∑ uv∈ EG du 2+ dv 2. In this study, the Sombor index of …

Now define S a cartesian product of finite times with SM n which is a finite semigroup having
elements {0, x, x 2,…, xn} of order n. Γ (S) is an undirected graph whose vertices are the …

In (Das et al. in J. Inequal. Appl. 2013: 44, 2013), a new graph Γ (SM) on monogenic
semigroups SM (with zero) having elements {0, x, x 2, x 3,…, xn} was recently defined. The …

Analysis of graph parameters associated with zero-divisor graphs of commutative rings
Page 1 NTMSCI 6, No. 2, 144-149 (2018) 144 New Trends in Mathematical Sciences http://dx.doi.org/10.20852/ntmsci.2018.279 …

In [1], Das et. al. considered the monogenic semi group SM with zero having {0, x, x2,..., xn}.
Also they defined undirected graph Γ (SM) associated with SM whose vertices are the non …

The concept of zero-divisor graph of a commutative ring was introduced by Beck [Coloring of
commutating ring, J. Algebra 116 (1988) 208–226]. In this paper, we present some …

Abstract In Das et al.(2013)[8], a new graph Γ (SM) on monogenic semigroups SM (with
zero) having elements {0, x, x 2, x 3,…, xn} has been recently defined. The vertices are the …

Abstract Recently, in [12], it has been defined a new graph Γ (SM) on monogenic
semigroups SM with zero having elements {0, x, x2, x3,···, xn}. The vertices are the non-zero …

The Nirmala and first Banhatti‐Sombor index which is originated from Sombor index is
designated by NG=∑ uv∈ EG du+ dv and BSO 1 G=∑ uv∈ EG 1/du 2+ dv 2, respectively …