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the annihilating-ideal graph of a commutative ring $r$ is denoted by $ag(r)$, whose vertices are all nonzero ideals of $r$ with nonzero annihilators and two distinct vertices $i$ and $j$ are adjacent if and only if $ij=0$. in this article, we completely characterize rings $r$ when $gr(ag(r))neq 3$.

a connected graph g is said to be neighbourly irregular graph if no two adjacent vertices of g have same degree. in this paper we obtain neighbourly irregular derived graphs such as semitotal-point graph, k^{tℎ} semitotal-point graph, semitotal-line graph, paraline graph, quasi-total graph and quasivertex-total graph and also neighbourly irregular of some graph products.

it is necessary to generate the automorphism group of a chemical graph in computer-aidedstructure elucidation. an euclidean graph associated with a molecule is defined by a weightedgraph with adjacency matrix m = [dij], where for i≠j, dij is the euclidean distance between thenuclei i and j. in this matrix dii can be taken as zero if all the nuclei are equivalent. otherwise,one may introduce dif...

in this paper, we introduce the notions of product vague graph, balanced product vague graph, irregularity and total irregularity of any irregular vague graphs and some results are presented. also, density and balanced irregular vague graphs are discussed and some of their properties are established. finally we give an application of vague digraphs.

Let G(V;E) be a graph. The common neighborhood graph (congraph) of G is a graph with vertex set V , in which two vertices are adjacent if and only if they have a common neighbor in G. In this paper, we obtain characteristics of congraphs under graph operations; Graph :::::union:::::, Graph cartesian product, Graph tensor product, and Graph join, and relations between Cayley graphs and its c...

plant-derived natural products are known to have cancer chemo-preventive and chemo-therapeutic properties. plant extracts or their active constituents are used as folk medicine in traditional therapies by 80% of the world population. the aim of the present study was to determine the anti-proliferative potential of fumaria vaillantii extracts on three different cancer cell lines including malign...

The aberrant expression of miRNA has an important function in bladder cancer (BC). Previous studies indicate that LASS2 is involved in the development of sensitivity to chemotherapy in cancer cells. In the present study, the miRNAs related to LASS2 were selected by using miRNA profiling to distinguish chemo-resistant and chemo-sensitive tumor specimens from patients. Higher levels of miR-93 wer...

AIM The aim of the study was to assess the efficacy of chemo-mechanical method for caries removal based on histological analysis and scanning electron microscopy of dentine samples. METHODS Forty-five freshly extracted human deciduous and permanent teeth with dentinal caries were used in this in vitro study. The teeth were allocated to two different technique groups. Chemo- mechanical caries ...