Categorical skew lattices are a variety of skew lattices on which the natural partial order is especially well behaved. While most skew lattices of interest are categorical, not all are. They are characterized by a countable family of forbidden subalgebras. We also consider the subclass of strictly categorical skew lattices.

We characterize graphs that have intersection representations using unit intervals with open or closed ends such that all ends of the intervals are integral in terms of infinitely many minimal forbidden induced subgraphs. Furthermore, we provide a quadratic-time algorithm that decides if a given interval graph admits such an intersection representation.

An undirected graph G = (V, E) is a probe split graph if its vertex set can be partitioned into two sets, N (nonprobes) and P (probes) where N is independent and there exists E′ ⊆ N ×N such that G′ = (V, E ∪ E′) is a split graph. Recently Chang et al. gave an O(V (V +E)) time recognition algorithm for probe split graphs. In this article we give O(V 2 +V E) time recognition algorithms and charac...

A method for recognition of Persian handwritten digits based on characterization loci and mixture of experts is proposed. This method utilizes the characterization loci, as the main feature. In the classification stage of our proposed method the mixture of experts are applied. This recognition method is applied to Farsi hand-written digits in the HODA database. The experimental results support ...

Recently Postnikov gave a combinatorial description of the cells in a totallynonnegative Grassmannian. These cells correspond to a special class of matroids called positroids. We prove his conjecture that a positroid is exactly an intersection of permuted Schubert matroids. This leads to a combinatorial description of positroids that is easily computable. The main proof is purely combinatorial,...

S:Christopher G. England, Justin Huang, Hermann Frieboes, and LaceyMcNally. “Active targeting of EMPRINN receptors using S100A9functionalized liposomes in melanoma and pancreatic cancers.” WorldMolecular Imaging Conference, 2013.Lacey McNally, Justin Huang, Christopher G. England, Hermann B. Frieboes.“Detection of Hypoxia in Orthotopic Pancreatic Tumors In Vivo Using...

Background: Nanomaterials are extensively used from household applications to industrial applications. Nanomaterials are the substances that are synthesized in the size ranging from 1-100 nm which exhibits excellent physical and chemical properties compared to their bulk forms. Iron oxide nanoparticles (magnetic) have unique properties that make them applicable in drug delivery applications. Ho...

The preparation, characterization, and immobilization of cobalt (III) salen complex on CoFe2O4@SiO2 nanoparticle (CoFe2O4@SiO2@ Co(III) salen complex) are described. Co(III) salen complex loaded on ferrite cobalt-silica nanoparticle is characterized by TEM, SEM-EDX, VSM and FT-IR analyses. The efficiency of CoFe2O...

In this study, a mixed matrix polyethersulfone/iron-nickel oxide nanoparticle nanofiltration membrane was prepared by the solution casting technique. Polyvinylpyrrolidone was also used as a membrane pore former in membrane fabrication. The effect of iron-nickel oxide nanoparticles concentration in the casting solution on the membrane structure and performance was investigated. Scanning...

Mesoporous silica nanoparticles (MSNs) have shown great potential in improving drug delivery of poorly water soluble (BCS class II, IV) and poorly permeable (BCS class III, IV) drugs, as well as facilitating successful delivery of unstable compounds. The nanoparticle technology would allow improved treatment by reducing adverse reactions of currently approved drugs and possibly reintroducing pr...