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Resistance distance in directed cactus graphs
No full textLet be a strongly connected and balanced digraph with vertex set . The classical distance between any two vertices and in is the minimum length of all the directed paths joining and . The resistance distance (or, simply the resistance) between any two vertices and in is defined by , where is the entry of the Moore-Penrose inverse of which is the Laplacian matrix of . In practice, the resistance is more significant than the classical distance. One reason for this is, numerical examples show that the resistance distance between and is always less than or equal to the classical distance, i.e., . However, no proof for this inequality is known. In this paper, it is shown that this inequality holds for all directed cactus graphs
Solvability to some systems of matrix equations using G-outer inverses
No full textTwo matrix equation systems and where and ; and , and , where , , and , are investigated and equivalent conditions for their solvability are presented. Expressions of their general solutions are established in terms of G-outer inverses of . Specializing matrices , these results are applied to solve various systems of matrix equations. In particular, the set of all G-outer inverses of is described. Since the fact is below under the G-outer -partial order implies that any G-outer -inverse of is also a G-outer -inverse of , an additional condition such that the converse holds is studied
Spectra of products of digraphs
No full textA unified approach to the determination of eigenvalues and eigenvectors of specific matrices associated with directed graphs is presented. Matrices studied include the new distance matrix, with natural extensions to the distance Laplacian and distance signless Laplacian, in addition to the new adjacency matrix, with natural extensions to the Laplacian and signless Laplacian. Various sums of Kronecker products of nonnegative matrices are introduced to model the Cartesian and lexicographic products of digraphs. The Jordan canonical form is applied extensively to the analysis of spectra and eigenvectors. The analysis shows that Cartesian products provide a method for building infinite families of transmission regular digraphs with few distinct distance eigenvalues
On the dense subsets of matrices with distinct eigenvalues and distinct singular values
No full textIt is well known that the set of all matrices with distinct eigenvalues is a dense subset of the set of all real or complex matrices. In [D.J. Hartfiel. Dense sets of diagonalizable matrices. {\em Proceedings of the American Mathematical Society}, 123(6):1669--1672, 1995.], the author established a necessary and sufficient condition for a subspace of the set of all matrices to have a dense subset of matrices with distinct eigenvalues. The objective of this article is to identify necessary and sufficient conditions for a subset of the set of all real or complex matrices to have a dense subset of matrices with distinct eigenvalues. Some results of Hartfiel are extended, and the existence of dense subsets of matrices with distinct singular values in the subsets of the set of all real or complex matrices is studied. Furthermore, for a matrix function , defined on a closed and bounded interval whose entries are analytic functions, it is proved that the set of all points for which the matrix has repeated analytic eigenvalues/analytic singular values is either a finite set or the whole domain of the function .
 
An analysis of the Greater Yellowstone Ecosystem archaeological assemblages of lithic raw materials
No full textProcurement of lithic raw materials has long been studied in the Greater Yellowstone Ecosystem, but it has lacked in its attention to non-volcanic sources. Sourcing tool stone has also long been problematic in the Intermountain West, where there is abundant lithic diversity with discontinuous source areas. This study illustrates the great diversity of prehistoric foragers tool stone procurement strategies by analyzing the raw material types found within the archaeological sites of the Greater Yellowstone Ecosystem. Systematizing assemblages spatial distributions by placing them on the geological landscape enables statistical cluster analyses to elucidate potential procurement areas and greater characterize the mobility of past peoples.
Featured image by Anna Cressman taken from the UW-NPS photo collection
On Government, Agency, and the Violence of Inaction
No full textIn this piece, Eppard and Chomsky argue that government is crucial to the realization of true agency for millions of Americans. They also explore the manner in which political and cultural factors work to curtail the U.S. government’s ability to address social problems like poverty and economic inequality, thus limiting opportunity and freedom for many
Raise the Wage LA: Campaigning for Living Wages in Los Angeles and an Emergent Working-Class Repertoire
No full textIn a relatively short period in the aftermath of the Global Financial Crisis and the Occupy movement, minimum wage campaigns rapidly gained momentum across the United States. In particular a purposeful working-class mobilisation of the Los Angeles labour movement in coalition with worker centres and community organisations, and set against the backdrop of the national Fight for 15 in the U.S.’s second most populous city, in its most populous state. Based on interviews conducted in Los Angeles in December 2016 this article describes L.A.’s Raise the Wage campaign in a framework of mobilisation theory (Kelly 1998; Tilly 1978). It is argued that the elements of mobilisation theory are present and that the mobilisations in L.A. of the kind studied represent an expansion of working-class repertoire
Cole, Peter (2018) Dockworker Power: Race and Activism in Durban and the San Francisco Bay Area, University of Illinois Press, Champaign, IL.
No full textHaltinner, K. and Hormel, L. (eds.) (2018) Teaching Economic Inequality and Capitalism in Contemporary America, Springer, Cham, Switzerland. Carter, G.M. and Thelin, W.H. (eds.) (2017) Class in the Composition Classroom: Pedagogy and the Working Class, Ut
No full textThree Poems: ‘Charleena Chavon Lyles’, ‘Spotted Owl’, ‘Economics’
No full textThis collection of poems is based in working-class life through an intersectional lens on the west coast of the US. It includes a documentary poem to a young Black woman, Charleena Chavon Lyles, who has been elegized by the Black Lives Matter (BLM) movement in Seattle. It draws on news articles and an obituary to support its truth claims and aims to counter the official police report and support the global, working class, BLM movement. ‘Spotted Owl’ is a poem that talks back to the opposition between loggers and the forest, in part from the point of view of an old growth tree. It highlights the intimate relationship between trees and owls and between blue- collar workers who directly work with natural resources and the environment. ‘Economics’ is about work beyond capitalism, through a focus on the relationship between bees and a chaste tree and the Irish word for labor, saothar. In sum, these poems address the lived experience of class through the author’s vantage at this place and time, from the US west coast