On H-Linked Graphs

For a fixed multigraph H, possibly containing loops, with V(H)={h₁, . . . , h_k}, we say a graph G is H-linked if for every choice of k vertices v₁, . . . , v_k in G, there exists a subdivision of H in G such that v_i represents h_i (for all i). This notion clearly generalizes the concept of k-linked graphs (as well as other properties). In this paper we determine, for a connected multigraph H and for any sufficiently large graph G, a sharp lower bound on δ(G) (depending upon H) such that G is H-linked.     

NOVEL PHOTOCLEAVABLE PROTEIN CROSSLINKING REAGENTS AND THEIR USE IN THE PREPARATION OF ANTIBODY-TOXIN CONJUGATES

Abstract— Two photolabile heterobifunctional protein crosslinking reagents have been synthesized and used for the conjugation of a protein toxin to an antibody. o-Nitrobenzyl alcohol derivatives containing protected sulfhydryl groups were converted to o-nitrobenzyloxycarbonyl chlorides and covalently attached to pokeweed antiviral protein (PAP-S) obtained from the seeds of Phytolacca americana. The sulfhydryl groups were deprotected and the modified toxins were reacted with J5 antibody (specific for the common acute lymphoblastic leukemia antigen, CALLA) that had been functionalized with maleimido groups. Antibody-toxin conjugates were formed predominantly in the ratio of 1:1, and were purified from unconjugated antibody and PAP-S. Irradiation of the conjugates with light having a peak intensity at 365 nm effected photolytic fragmentation, and PAP-S was released in fully active form. The methods described here may prove useful for the release of drugs or toxins at sites accessible to light.     

On H‐immersions

For a fixed multigraph H, possibly containing loops, with V(H) = {h₁,…, h_k}, we say a graph G is H‐linked if for every choice of k vertices v₁,…,v_k in G, there exists a subdivision of H in G such that v_i represents h_i (for all i). An H‐immersion in G is similar except that the paths in G, playing the role of the edges of H, are only required to be edge disjoint. In this article, we extend the notion of an H‐linked graph by determining minimum degree conditions for a graph G to contain an H‐immersion with a bounded number of vertex repetitions on any choice of k vertices. In particular, we extend results found in [2,3,5]. © 2007 Wiley Periodicals, Inc. J Graph Theory 57: 245–254, 2008     

Preparation of Acyclic N-Acyl-N,O-acetals by Decarboxylation of N-Protected α-Amino Acids and Studies of Asymmetric Amidoalkylation with Trimethylsilyl Cyanide

Oxidative decarboxylation of N-acyl-α-amino acids with lead tetra-acetate followed by treatment with methanol provides a facile method for preparation of acyclic N-acyl-N,O-acetals, which can be used in asymmetric α-amidoalkylation reactions using trimethylsilyl cyanide as nucleophile.     

Synthesis and characterization of perfluoro quaternary ammonium anion exchange membranes

In this study, new alkaline exchange membranes were prepared from the perfluorinated 3M ionomer with various quaternary ammonium cations attached with sulfonamide linkage. The degree of functionalization varied depending on the cation species, resulting in different ion exchange capacities (IECs), 0.33–0.72 meq g⁻¹. There was evidence of polymer degradation when the films were exposed to hydroxide, and hence all membrane characterization was performed in the chloride form. Conductivity was dependent on cation species and IEC, E_a = 36–59 kJ mol⁻¹. Diffusion of water through the membrane was relatively high 1.6 × 10⁻⁵ cm² s⁻¹ and indicated restriction over a range of diffusion times, 6–700 ms. Water uptake (WU) in the membranes was generally low and the hydration level varied based on cation species, λ = 6–11. Small-angle scattering experiments suggested ionic aggregation, 37–42 Å, independent of cation species but slight differences in long-range order with cation species. © 2012 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2013, 51, 1761–1769, 2013