Different Types of Connected Spaces

This paper deals with the various forms of open sets and their relations. The relation is represented by a diagram. The relation is same for the closed sets also. The main part defines different types of connectedness and their relations. It is notable that openness and connectedness are in opposite order. Some results on Q-sets are also included here

A study on the pendant number of graph products

A path decomposition of a graph is a collection of its edge disjoint paths whose union is G. The pendant number Πp is the minimum number of end vertices of paths in a path decomposition of G. In this paper, we determine the pendant number of corona products and rooted products of paths and cycles and obtain some bounds for the pendant number for some specific derived graphs. Further, for any natural number n, the existence of a connected graph with pendant number n has also been established

<i>Parmotrema tinctorum</i> exhibits antioxidant, antiglycation and inhibitory activities against aldose reductase and carbohydrate digestive enzymes: an <i>in vitro</i> study

<div><p>This study evaluated the inhibitory potential of ethyl acetate extract of <i>Parmotrema tinctorum</i> (PTEE), an edible lichen, against aldose reductase (AR) and carbohydrate digestive enzymes such as α-glucosidase and α-amylase. It was also screened for antioxidant activities by using DPPH, ABTS, superoxide and hydroxyl radical-scavenging assays. PTEE exhibited α-glucosidase, α-amylase and AR inhibition along with significant antiglycation potential with an estimated IC₅₀ value of 58.45 ± 1.24, 587.74 ± 3.27, 139.28 ± 2.6 and 285.78 ± 1.287 μg/mL, respectively. Antioxidant activity of PTEE against DPPH (IC₅₀ 396.83 ± 2.98 μg/mL), ABTS (151.34 ± 1.79 μg/mL), superoxide (30.29 ± 1.17 μg/mL) and hydroxyl (35.42 ± 1.22 μg/mL) radicals suggests the antioxidant potential of <i>P. tinctorum.</i> Significant antioxidant activity and inhibitory potential against carbohydrate digestive enzymes and AR suggest that <i>P. tinctorum</i> can be developed as functional food/nutraceuticals for diabetes after detailed study.</p></div

Lobster Resources of India

Lobster Resources of Indi