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THE ORDER OF CYCLICITY OF BIPARTITE TOURNAMENTS AND (0, 1) MATRICES
Berman, Abraham,Kotzig, Anton Department of Mathematics 1979 Kyungpook mathematical journal Vol.19 No.1
A (0,1) matrix is acyclic if it does not have a permutation matrix of order 2 as a submatrix. A bipartite tournament is acyclic if and only if its adjacency matrix is acyclic. The concepts of (maximal) order of cyclicity of a matrix and a bipartite tournament are introduced and studied.
Berman Callie 한양대학교 아태지역연구센터 2024 Journal of Eurasian Studies Vol.15 No.1
The purpose of this article is to update the Intergovernmental Science-Policy Platform on Biodiversity and Ecosystem Services (IPBES) framework to reflect resource understandings arising within historically non-sedentary societies. This article examines how Eurasia’s unique development history based on livestock cultivation beget modes of understanding predicated in mobile life strategies and pastoral/nomadic interactions with the Eurasian geography. In contrast, prevailing resource ideas emphasize land relation histories of sedentary peoples. Using the IPBES framework, this article takes a novel approach to show how food and food customs reflect embedded resource understandings relevant to non-sedentary peoples. Empirical findings from sturgeon aquaculture facilities in the Caspian states of Azerbaijan, Kazakhstan, and Turkmenistan demonstrates sturgeon meat in customary cuisine connects Eurasian peoples to land knowledge instilled with its own resource meanings. This article updates the IPBES framework to incorporate the livestock element as the integrative mechanism giving the method for land use and Eurasia’s own resource concept. Incorporating the livestock variable within the IPBES framework to express the value accorded to mobility better represents the diversity of resource meaning-making processes. It also makes possible a consideration for how food and food customs enabling narrative transmit land appreciations and knowledges not adequately captured by conventional resource analyses.
Supersymmetry for gauged double field theory and generalised Scherk-Schwarz reductions
Berman, D.S.,Lee, K. North Holland 2014 Nuclear Physics, Section B Vol.881 No.-
Previous constructions of supersymmetry for double field theory have relied on the so-called strong constraint. In this paper, the strong constraint is relaxed and the theory is shown to possess supersymmetry once the generalised Scherk-Schwarz reduction is imposed. The equivalence between the generalised Scherk-Schwarz reduced theory and the gauged double field theory is then examined in detail for the supersymmetric theory. As a biproduct we write the generalised Killing spinor equations for the supersymmetric double field theory.