Polychromatic colorings of certain subgraphs of complete graphs and maximum densities of substructures of a hypercube

If G is a graph and H is a set of subgraphs of G, an edge-coloring of G is H-polychromatic if every graph from H gets all colors present in G on its edges. The H-polychromatic number of G, polyHG, is the largest number of colors in an H-polychromatic coloring. We determine polyHG exactly when G is a complete graph on n vertices, q a fixed nonnegative integer, and H is the family of one of: all matchings spanning n-q vertices, all 2-regular graphs spanning at least n-q vertices, or all cycles of length precisely n-q. For H, K, subsets of the vertex set V(Qd) of the d-cube Qd, K is an exact copy of H if there is an automorphism of Qd sending H to K. For a positive integer, d, and a configuration in Qd, H, we define λ(H,d) as the limit as n goes to infinity of the maximum fraction, over all subsets S of V(Qn), of sub-d-cubes of Qn whose intersection with S is an exact copy of H. We determine λ(C8,4) and λ(P4,3) where C8 is a “perfect” 8-cycle in Q4 and P4 is a “perfect” path with 4 vertices in Q3, λ(H,d) for several configurations in Q2, Q3, and Q4, and an infinite family of configurations. Strong connections exist with extensions Ramsey numbers for cycles in a graph, counting sequences with certain properties, inducibility of graphs, and we determine the inducibility of two vertex disjoint edges in the family of bipartite graphs

Automatic spatial processing of threatening and positive information in participants with high and low levels of trait anxiety

The study sought to investigate potential differences in automatic spatial processing of threatening and positive information in anxious and non-anxious individuals. Participants evaluated threatening and positive words and pictures in a memory task in which the stimuli\u27s varying spatial position was incidental to the task. Participants demonstrated increased accuracy with threatening stimuli, and a decreased accuracy when the word location varied between initial presentation and test. The results did not provide evidence that threatening stimuli were associated with an increased degree of spatial processing, or that this relationship would be influenced by trait anxiety

Exploring the Effects of 1:1 Laptop Implementation on Quantifiable Student Outcomes in Junior High School Science Classes Between Demographic Subpopulations of Students

Digital technology is becoming increasingly affordable and schools are engaging in 1:1 implementations faster than research can support. Laptop implementations in a 1:1 ratio promise personalized instruction and more access to enriched curriculums and information. As schools transition, it is imperative they know and can predict what the impact on measures of student achievement will be. This is especially so for more “at‐risk” student populations. During the 2010‐2011 school year, a Utah junior high school implemented a 1:1 laptop program to investigate the demands of 1:1 implementation prior to other area schools making similar transitions. Exploratory research was conducted on science classes to investigate the initial reaction of different demographic groups to a 1:1 laptop implementation. Four measures of student outcomes were evaluated (academic credits gained, class grades, attendance, and incidents of discipline referral). After 5 months of 1:1 implementation in science, it was found that: Most demographic groups experienced little or no change in measured outcomes after the laptop was introduced 1:1. There were no demographic groups that performed significantly better with laptops than they did previously without them. Low‐income White students performed relatively worse on academic measures than did all other demographic groups after laptops were introduced. Low‐income ethnic minority students measured slight improvement on class grades after laptops were introduced, and this reaction appeared to be different from the lowincome White students. Students who participated in a laptop computer class that was in addition to their science class achieved slightly better grades in science than did students who only used the laptop in science. The introduction of laptops appeared to have little or no consistent influence on student attendance or discipline referral although teachers did state classroom management required adjustments after laptop introduction. Because of the different responses by the more “at‐risk” student populations to 1:1 implementation, it is important that additional research be conducted on the different reactions of demographic subpopulations in the 1:1 setting. This exploratory study helped provide a referential foundation and questions from which additional research and more effective laptop implementations can begin

Characterizing the Effects of Benzyl-Amino Alcohol on Cell Growth, Viability, and Migration

The research we are performing investigates a new compound classified as benzyl-amino alcohol and begins a new endeavor into the effects of this class of compound. This compound would work well in chemotherapies because affecting healthy cells can lead to a patient’s health decline

Identification and cost of adverse events in metastatic breast cancer in taxane and capecitabine based regimens.

PurposeWe sought to compare the economic impact of treatment-related adverse events (AEs) in patients with metastatic breast cancer (mBC) using taxane- or capecitabine-based treatment regimens as either first- or second-line (FL or SL) therapy in the US.MethodsWe used healthcare claims data from the Truven Health Analytics MarketScan® Commercial Databases to conduct a retrospective cohort study comparing the economic impact of AEs amongst taxane- and capecitabine-treated mBC patients in the US. We selected women diagnosed with mBC between 2008-2010 who received a taxane or capecitabine as first- or second-line (FL or SL) chemotherapy. Costs related to hospitalization, outpatient services, emergency department visits, chemotherapy and other medications were tabulated and combined to determine total healthcare costs. The incremental monthly costs associated with the presence of AEs compared to no AEs were estimated using generalized linear models, controlling for age and Charlson Comorbidity Index.ResultsWe identified 15,443 mBC patients meeting inclusion criteria. Adjusted total monthly costs were significantly higher in those who experienced AEs than in those without AEs in both lines of treatment (FL incremental cost: taxanes $1,142, capecitabine$1,817; SL incremental cost: taxanes $1,448, capecitabine$4,437). Total costs increased with the number of AEs and were primarily driven by increased hospitalization amongst those with AEs.ConclusionsAdverse events in taxane- or capecitabine-treated mBC patients are associated with significant increases in costs. Selecting treatment options associated with fewer AEs may reduce costs and improve outcomes in these patients