A graph G is fractional ID-[a, b]-factor-critical if G − I has a fractional [a, b]-factor for every independent set I of G. We extend a result of Zhou and Sun concerning fractional ID-k-factor-critical graphs.

A graph is called equistable when there is a non-negative weight function on its vertices such that a set S of vertices has total weight 1 if and only if S is maximal stable. We characterize those series-parallel graphs that are equistable, generalizing results of Mahadev, Peled and Sun about equistable outer-planar graphs.

We consider cubic graphs formed with k ≥ 2 disjoint claws Ci ∼ K1,3 (0 ≤ i ≤ k−1) such that for every integer i modulo k the three vertices of degree 1 of Ci are joined to the three vertices of degree 1 of Ci−1 and joined to the three vertices of degree 1 of Ci+1. Denote by ti the vertex of degree 3 of Ci and by T the set {t1, t2, ..., tk−1}. In such a way we construct three distinct graphs, na...

Solar magnetic tornadoes are known to be one of the mass and energy transport mechanisms from the lower solar atmosphere into the upper layers of the solar corona. A bright spiral structure with two arms is observed using high-cadence EUV images of 171, 193 and 304 Ǻ channels of Atmospheric Imaging Assembly (AIA) aboard the Solar Dynamics Observatory (SDO) on 10th of July 2011 for three hours. ...

We consider cubic graphs formed with k ≥ 2 disjoint claws Ci ∼ K1,3 (0 ≤ i ≤ k−1) such that for every integer i modulo k the three vertices of degree 1 of Ci are joined to the three vertices of degree 1 of Ci−1 and joined to the three vertices of degree 1 of Ci+1. Denote by ti the vertex of degree 3 of Ci and by T the set {t1, t2, ..., tk−1}. In such a way we construct three distinct graphs, na...

Background: Sun protection materials have been one of the major concerns in pharmaceutical industry since almost one century ago. Various materials have been found to have such an effect but there are still many unknown substances that have not been discovered.Objective: To introduce a novel mineral-based sun lotion with considerable UV absorption properties compared to commercially available s...

The pomegranate (Punica granatum L.) is an important medicinal plant. It has been reported that phenolic compounds contained in the flowers have antioxidant potential. The objective was to determine the concentration of total phenolics and antioxidant capacity of three selections of pomegranate flower dried under different conditions. The highest phenolic content and antioxidant capacity was ob...

The article presents the developed energy-saving, resource-saving ridge technology for cultivating row crops and means of mechanization its implementation allows increasing yield on average in 5 years up to 38% without use environmentally unsafe herbicides. cultivate corn grain, sunflower soybeans, energy efficiency coefficients, respectively, amounted 15.54; 9.71 3.43 units, which is by 0.6; 3...