Abstract Using the 1.32 $$\hbox {pb}^{-1}$$ pb - 1 statistics collected at $$J/\psi $$ J / ψ peak with KEDR detector VEPP-4M $$e^{+}e^{-\, }$$ e +</...

BACKGROUND Doppler flow velocity waveform analysis of fetal vessels is one of the main methods for evaluating fetus health before labor. Doppler waves of middle cerebral artery (MCA) can predict most of the at risk fetuses in high risk pregnancies. In this study, we tried to obtain normal values and their nomograms during pregnancy for Doppler flow velocity indices of MCA in 20-40 weeks of norm...

The input to the tollbooth problem is a graph G = (V,E) and a set of m buyers Pi where each buyer is interested in buying a path Pi connecting si, ti ∈ V . Each buyer comes with a budget b(Pi), a positive real number. The problem is to set non-negative prices to the edges E of G. A buyer buys her path Pi if the sum of prices on Pi is at most her budget. If a buyer buys her path, we obtain a pro...

ABSTRACT Let ‎G=(V,E) ‎be a‎ ‎simple ‎connected ‎graph ‎with ‎vertex ‎set ‎V‎‎‎ ‎and ‎edge ‎set ‎‎‎E. ‎The Szeged index ‎of ‎‎G is defined by ‎ where ‎ respectively ‎ ‎ is the number of vertices of ‎G ‎closer to ‎u‎ (‎‎respectively v)‎ ‎‎than ‎‎‎v (‎‎respectively u‎).‎ ‎‎If ‎‎‎‎S ‎is a‎ ‎set ‎of ‎size‎ ‎ ‎ ‎let ‎‎V ‎be ‎the ‎set ‎of ‎all ‎subsets ‎of ‎‎S ‎of ‎size ‎3. ‎Then ‎we ‎define ‎t...

We consider a natural generalization of the Partial Vertex Cover problem. Here an instance consists of a graph G = (V,E), a cost function c : V → Z, a partition P1, . . . , Pr of the edge set E, and a parameter ki for each partition Pi. The goal is to find a minimum cost set of vertices which cover at least ki edges from the partition Pi. We call this the Partition-VC problem. In this paper, we...

Structural codes vis-a-vis structural counts, like polynomials of a molecular graph, are important in computing graph-theoretical descriptors which are commonly known as topological indices. These indices are most important for characterizing carbon nanotubes (CNTs). In this paper we have computed Sadhana index (Sd) for phenylenes and their hexagonal squeezes using structural codes (counts). Sa...

Graphene-based nanofolds (GNFs) are edge-connected 2D stacked monolayers originated from single-layer graphene. nanoscrolls (GNSs) nanomaterials with geometry resembling graphene layers rolled up into a spiral (papyrus-like) form. Both GNSs and GNFs structures induce significant changes in the mechanical optoelectronic properties of graphene, aggregating new functionalities carbon-based applica...

We show that for every graph $G$ and $H$ obtained by subdividing each edge of at least $\Omega(\log |V(G)|)$ times, is nonrepetitively 3-colorable. In fact, we \pi'(G))$ subdivisions per are enough, where $\pi'(G)$ the nonrepetitive chromatic index $G$. This answers a question Wood improves similar result Pezarski Zmarz stated existence one 3-colorable subdivision with linear number vertices ed...

BACKGROUND Gingivitis is an inflammatory disease involving the gums. Saffron contains various forms of flavonoids, glycosides, and anthocyanin compounds that are proven to have anti-inflammatory and antioxidant effects. This study evaluates the anti-inflammatory effects of Saffron stigma on gingival indices in patients with marginal generalized plaque-induced gingivitis. METHODS For this stud...