2,383 research outputs found
Hip Hop Hermeneutics: How the Culture Influences Preachers
Hip Hop Hermeneutics essay lays out findings of current research into how Hip Hop culture has been formational for African American preachers, and how that culture informs their preaching. There is a generation of preachers leading congregations today that have grown up with Hip Hop. Hip Hop culture has left an indelible mark upon them; just as the church has. How does the cultural influence of Hip Hop affect their preaching? Hip Hop hermeneutics is the response put forth by this article. This article traces the practice and theology of early African American preachers, the work of James Cone in Black Liberation theology, and Womanist theologians to demonstrate how Black theology has always included the Black experience as part of its theological norm. The article then posits that the next generation of Black theology must take into account that Hip Hop is also part of that Black experience, before going on to delineate a Hip Hop hermeneutic. A Hip Hop hermeneutic is a particular way of reading scripture that embraces the honest and raw fullness of the Black experience
Vertex Isoperimetric Inequalities for a Family of Graphs on Z^k
We consider the family of graphs whose vertex set is Z^k where two vertices
are connected by an edge when their l\infty-distance is 1. We prove the optimal
vertex isoperimetric inequality for this family of graphs. That is, given a
positive integer n, we find a set A \subset Z^k of size n such that the number
of vertices who share an edge with some vertex in A is minimized. These sets of
minimal boundary are nested, and the proof uses the technique of compression.
We also show a method of calculating the vertex boundary for certain subsets
in this family of graphs. This calculation and the isoperimetric inequality
allow us to indirectly find the sets which minimize the function calculating
the boundary.Comment: 19 pages, 2 figure
Minimizing the number of independent sets in triangle-free regular graphs
Recently, Davies, Jenssen, Perkins, and Roberts gave a very nice proof of the
result (due, in various parts, to Kahn, Galvin-Tetali, and Zhao) that the
independence polynomial of a -regular graph is maximized by disjoint copies
of . Their proof uses linear programming bounds on the distribution of
a cleverly chosen random variable. In this paper, we use this method to give
lower bounds on the independence polynomial of regular graphs. We also give new
bounds on the number of independent sets in triangle-free regular graphs
Counting dominating sets and related structures in graphs
We consider some problems concerning the maximum number of (strong)
dominating sets in a regular graph, and their weighted analogues. Our primary
tool is Shearer's entropy lemma. These techniques extend to a reasonably broad
class of graph parameters enumerating vertex colorings satisfying conditions on
the multiset of colors appearing in (closed) neighborhoods. We also generalize
further to enumeration problems for what we call existence homomorphisms. Here
our results are substantially less complete, though we do solve some natural
problems
Natural Enemies of Alfalfa Weevil, \u3ci\u3eHypera Postica\u3c/i\u3e (Coleoptera: Curculionidae), in Minnesota
Alfalfa weevil, Hypera postica, is present throughout Minnesota. How- ever, economically damaging populations seldom occur, due to a combination of natural enemies and adverse climatic conditions. Five natural enemies of alfalfa weevil were found in Minnesota. Microctonus aethiopoides (Hymenoptera: Braconidae), a parasitoid of adults, was recovered from 43 of 65 counties surveyed during 1984 and 1985. Tetrastichus incertus (Hymenoptera: Eulophidae) and Bathyplectes curculionis (Hymenoptera: Ichneumonidae), paraÂsitoids of larvae, were each recovered from 13 of 15 counties surveyed during 1991-1993. Bathyplectes anurus, another parasitoid of larvae, was recovered from one county In 1991, four counties in 1992, and six counties in 1993. Zoophthora phytonomi (Entomophthora: Entomophthoraceae), a pathogen of larvae, was recovered from 14 of 15 counties surveyed in 1991-1993. Winters with low minimum temperatures and little snow cover were detrimental to the weevil. Usually, southeastern Minnesota has milder winters and higher alfalfa weevil populations than other areas of the State. However, even here, because of natural enemies, weevil populations seldom reach economically damaging levels
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