moderate to excellent entantio- and stereoselectivities (ee’s 54-100%) were observed in ple catalyzed hydrolysis of (±)-ethyl 5-oxo-endo-tricyclo[5.2.1.02,6] deca-8-ene-2-carboxylate 5 and the structurally related open chain bicyclic structures (±)-ethyl 3-acetylbicyclo[2.2.1]hept-5-ene-2-carboxylates 7, 9 and (±)-ethyl 3-propanoylbicyclo[2.2.1]hept-5-ene-2-carboxylates 8, 10. a pronounced pref...

Bicyclic peptides have emerged as one of the driving forces within constrained peptide family. Due to their unique pharmaceutical attributes, bicycles garnered a reputation promising therapeutics future. Combining advantages small molecule and biologics, target binding qualities this highly class molecules been likened those antibodies. Over past 5 years, field bicyclic has advanced significant...

We consider a tower of generalized rook monoid algebras over the field $\mathbb{C}$ complex numbers and observe that Bratteli diagram associated to this is simple graph. construct modules describe Jucys-Murphy elements for algebras. Over an algebraically closed $\Bbbk$ positive characteristic $p$, utilizing algebras, $0\leq i\leq p-1$ we define corresponding $i$-restriction $i$-induction functo...

Classification of harmonic and semiharmonic graphs according to their cyclomatic number became of interest recently. All finite harmonic graphs with up to four independent cycles, as well as all finite semiharmonic graphs with at most one cycle were determined. Here, we determine all finite semiharmonic bicyclic graphs. Besides that, we present several methods to construct semiharmonic graphs f...

Bicyclic Mixed Triple Systems by Benkam Benedict Bobga In the study of triple systems, one question faced is that of finding for what order a decomposition exists. We state and prove a necessary and sufficient condition for the existence of a bicyclic mixed triple system based on the three possible partial orientations of the 3-cycle with twice as many arcs as edges. We also explore the existen...

We report a Lewis acid catalyzed reaction sequence involving a 1,2-shift and subsequent C–H insertion that gives monocyclic and fused bicyclic cyclopentenone products. This reaction sequence, which is initiated by treating b-hydroxy-a-diazo ketones with a Lewis acid, proceeds through vinyl cation intermediates that insert at non-activated gamma C–H bonds. This reaction represents an alternative...