Let G = (V,E) be a simple undirected graph. The neighborhood hypergraph N (G) = (V, EN ) of G has the edge set EN = {e ⊆ V | |e| ≥ 1 ∧ ∃x ∈ V : e = NG(x)}. In a certain sense, this is a generalization of the well-known notion of the neighborhood graph N(G) = (V,EN ). For several products G1 ◦G2 of simple undirected graphs G1 and G2, we investigate the question how N(G1 ◦G2) / N (G1 ◦G2) can be ...

Two graphs G1 and G2 of order n pack if there exist injective mappings of their vertex sets into [n], such that the images of the edge sets do not intersect. Sauer and Spencer proved that if (G1) (G2) < 0.5n, then G1 and G2 pack. In this note, we study an Ore-type analogue of the Sauer–Spencer Theorem. Let θ(G) = max{d(u)+ d(v) : uv ∈ E(G)}. We show that if θ(G1) (G2) < n, then G1 and G2 pack. ...

The study was conducted on 90 serum samples of people with prostate diseases (G1-include 24 for patients cancer-PC , G2- include benign prostatic hyperplasia-BPH and 22 prostatitis G3), compared 20 healthy individuals as control group. Prostate-specific antigen-PSA, human kallikrein-2-hK2, fibrinogen gamma-FGG, total anti-oxidant capacity-TAC, Vitamin D3-VD3. results showed that the activity PS...

using analytical method of usul al-fiqh, the present essay deals with opinions of shiite usulis on this question whether continuity of the previous state can be used with regard to time, temporal affairs, and affairs conditioned upon time. as for the first, we investigate opinions of usulis in this connection first, answer the problem of lack of doubt as to subsistence and that of lack of unity...

Let G1,G2 be two connected graphs. Denote the corona and the edge corona of G1, G2 by G1 ◦ G2 and G = G1 G2, respectively. In this paper, we compute the Laplacian spectrum of the corona G◦H of two arbitrary graphs G and H and the edge corona of a connected regular graph G1 and an arbitrary graph G2.

We characterize all pairs of graphs (G1, G2), for which the binomial edge ideal JG1,G2 has linear relations. We show that JG1,G2 has a linear resolution if and only if G1 and G2 are complete and one of them is just an edge. We also compute some of the graded Betti numbers of the binomial edge ideal of a pair of graphs with respect to some graphical terms. In particular, we show that for every p...

We have investigated the oligomerization and intracellular transport of the membrane glycoproteins of Punta Toro virus, a member of the Phlebovirus genus of the family Bunyaviridae, which is assembled by budding in the Golgi complex. By using one- or two-dimensional sodium dodecyl sulfate-polyacrylamide gel electrophoresis, chemical cross-linking, and sucrose gradient centrifugation, we found t...