let g be a (p, q) graph. let f : v (g) → {1, 2, . . . , k} be a map. for each edge uv, assign the label gcd (f(u), f(v)). f is called k-prime cordial labeling of g if |vf (i) − vf (j)| ≤ 1, i, j ∈ {1, 2, . . . , k} and |ef (0) − ef (1)| ≤ 1 where vf (x) denotes the number of vertices labeled with x, ef (1) and ef (0) respectively denote the number of edges labeled with 1 and not labeled with 1....

Abstract The transition-metal-free total syntheses of the oxygenated carbazole natural products glycoborine, carbazomycin A and B are reported. key step involves an NBS-mediated cyclobutanol ring expansion to 4-tetralones for preparation tricyclic core.

Transporter proteins bind ions and small molecules and transfer them across lipid membranes. Recent studies on transporters, discussed in this issue's Biochemistry Select, provide insight into the family of proteins targeted by tricyclic antidepressants. Other work sheds light on glucose absorption in the gut, host-pathogen interactions , and a mechanism used by an important food crop to adapt ...

recently, e. m'{a}v{c}ajov'{a} and m. v{s}koviera proved that every bidirected eulerian graph which admits a nowhere zero flow, admits a nowhere zero $4$-flow. this result shows the validity of bouchet's nowhere zero conjecture for eulerian bidirected graphs. in this paper we prove the same theorem in a different terminology and with a short and simple proof. more precisely, we p...

Site-saturated substitution in Saccharomyces cerevisiae oxidosqualene-lanosterol cyclase at Ile705 position produced three chair-boat-chair (C-B-C) truncated tricyclic compounds, two 17α-exocyclic protosteryl intermediates, two protosteryl C-17 truncated rearranged intermediates and the normal biosynthetic product, lanosterol. These results indicated the importance of the Ile705 residue in affe...