Split graphs and Block Representations

In this paper, we study split graphs and related classes of graphs from the perspective of their sequence of vertex degrees and an associated lattice under majorization. Following the work of Merris in 2003, we define blocks $[\alpha(\pi)|\beta(\pi)]$, where $\pi$ is the degree sequence of a graph, and $\alpha(\pi)$ and $\beta(\pi)$ are sequences arising from $\pi$. We use the block representation $[\alpha(\pi)|\beta(\pi)]$ to characterize membership in each of the following classes: unbalanced split graphs, balanced split graphs, pseudo-split graphs, and three kinds of Nordhaus-Gaddum graphs (defined by Collins and Trenk in 2013). As in Merris' work, we form a poset under the relation majorization in which the elements are the blocks $[\alpha(\pi)|\beta(\pi)]$ representing split graphs with a fixed number of edges. We partition this poset in several interesting ways using what we call amphoras, and prove upward and downward closure results for blocks arising from different families of graphs. Finally, we show that the poset becomes a lattice when a maximum and minimum element are added, and we prove properties of the meet and join of two blocks.Comment: 23 pages, 7 Figures, 2 Table

Absorbed dose thresholds and absorbed dose rate limitations for studies of electron radiation effects on polyetherimides

The threshold values of total absorbed dose for causing changes in tensile properties of a polyetherimide film and the limitations of the absorbed dose rate for accelerated-exposure evaluation of the effects of electron radiation in geosynchronous orbit were studied. Total absorbed doses from 1 kGy to 100 MGy and absorbed dose rates from 0.01 MGy/hr to 100 MGy/hr were investigated, where 1 Gy equals 100 rads. Total doses less than 2.5 MGy did not significantly change the tensile properties of the film whereas doses higher than 2.5 MGy significantly reduced elongation-to-failure. There was no measurable effect of the dose rate on the tensile properties for accelerated electron exposures

Bringing the Pieces Back Together: An Organic Inquiry Into Women’s Spiritual Transformation Through Depression

Women experience depression at twice the rate of men. Researchers have focused on biomedical and psychosocial factors in their extensive exploration into the causes and treatments of women’s depression. When viewed from a holistic lens of mind, body, and spirit, the spiritual experience of depression is missing in the literature. The purpose of this research study is to describe how a woman\u27s spiritual self transforms through depression. Organic Inquiry incorporates transpersonal psychology and feminist spirituality and was used in this study to collect and analyze the stories of 12 women through unstructured interviews. Results suggest the women\u27s spiritual transformation involved five themes: letting go, change in belief system, finding power within, bringing the pieces back together, and connection to all. For these women, depression was the catalyst for awakening consciousness. Integrating the whole person (mind, body, and spirit) in recovery from depression has implications for how society views, supports, and celebrates women’s depression as a transformative experience

A Framework for Developing Multiyear Conferences on Current Societal Issues

This article describes how Extension professionals and university faculty collaborated on the planning, implementation, and evaluation of a conference to address a key societal issue. Needs assessment and evaluation results are presented as well as an explanation of how results were used in planning future conferences. With limited Extension budgets and personnel, partnering among Extension specialists, university faculty, and experts in relevant topics is a valuable and efficient way to provide the most impact for a community. Developing multiyear conferences to address significant societal issues may be a new way to increase Extension\u27s impact

A mitochondrial-focused genetic interaction map reveals a scaffold-like complex required for inner membrane organization in mitochondria.

To broadly explore mitochondrial structure and function as well as the communication of mitochondria with other cellular pathways, we constructed a quantitative, high-density genetic interaction map (the MITO-MAP) in Saccharomyces cerevisiae. The MITO-MAP provides a comprehensive view of mitochondrial function including insights into the activity of uncharacterized mitochondrial proteins and the functional connection between mitochondria and the ER. The MITO-MAP also reveals a large inner membrane-associated complex, which we term MitOS for mitochondrial organizing structure, comprised of Fcj1/Mitofilin, a conserved inner membrane protein, and five additional components. MitOS physically and functionally interacts with both outer and inner membrane components and localizes to extended structures that wrap around the inner membrane. We show that MitOS acts in concert with ATP synthase dimers to organize the inner membrane and promote normal mitochondrial morphology. We propose that MitOS acts as a conserved mitochondrial skeletal structure that differentiates regions of the inner membrane to establish the normal internal architecture of mitochondria

Hypothesis-driven candidate genes for schizophrenia compared to genome-wide association results

Candidate gene studies have been a key approach to the genetics of schizophrenia. Results of these studies have been confusing and no genes have been unequivocally implicated. The hypothesis-driven candidate gene literature can be appraised via comparison with the results of genome-wide association studies (GWAS)

Cultural Resources Investigations Along Whiteoak Bayou, Harris County, Texas

In 1986, cultural resources investigations were carried out to prepare a synthesis of the archeology of the Whiteoak Bayou area in western Harris County, Texas, and to conduct subsurface testing at prehistoric sites that may be affected by the U.S. Army Corps of Engineers Upper Whiteoak Bayou Flood Damage Reduction Project. The tasks undertaken during these investigations are: (1) background research into the environment and archeology of the area; (2) historic/archival research and reconnaissance survey to summarize the historical development of Whiteoak Bayou and to identify any important sites in the project area; (3) intensive survey of Vogel Creek, a tributary to Whiteoak Bayou, to assess the potential for intact cultural remains; (4) National Register testing and assessment of nine aboriginal sites; (5) geoarcheological investigations to establish the geological context of the archeological remains, to identify the depositional environments represented, and to establish an alluvial sequence for the project area; and (6) analysis of a large collection of artifacts from 46 Whiteoak Bayou sites made prior to 1986 by members of the Houston Archeological Society, as well as the materials recovered during 1986. The nine archeological sites tesLed during this project are 41HR241, 4lHR259, 41HR273, 41HR278, 41HR279, 41HR283, 41HR290, 41HR298, and 41HR541. The testing showed that only three -- 41HR259, 41HR273, and 41HR541 -- have substantial, intact cultural deposits. Two of these -- 41HR273 and 41HR541 -- are judged to be eligible for listing on the National Register of Historic Places and for designation as State Archeological Landmarks. One site, 4lHR259, is currently listed on the National Register, although the remaining part of this site is judged to have a limited potential to yield additi0nal information. The other seven sites are judged to be ineligible for listing