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Published: 22/11/2017We prove that for every $d\geq 2$, deciding if a pure, $d$dimensional, simplicial complex is shellable is NPhard, hence NPcomplete. This resolves a question raised, e.g., by Danaraj and Klee in 197 ... Read moreSource: math.ucdavis.edu


Published: 22/11/2017We develop a formalism that allows us to describe Markov compacta with finite sets of diagrams that are building blocks of the entire sequence. This encodes complex, continuous spaces with discrete co ... Read moreSource: math.ucdavis.edu

Published: 22/11/2017I discuss the question whether or not the Spivak normal fibration of a Poincaré duality space X admits a reduction to a vector bundle in the case where the dimension of X is at most 4. I show that in ... Read moreSource: math.ucdavis.edu

Published: 22/11/2017Let $X$ be a normal, separated and integral scheme of finite type over $\mathbb{Z}$ and $\mathcal{M}$ a set of closed points of $X$. To a Galois cover $\tilde{X}$ of $X$ unramified over $\mathcal{M}$, ... Read moreSource: math.ucdavis.edu

Published: 22/11/2017We define a metric filtration of the Gordian graph by an infinite family of 1dense subgraphs. The nth subgraph of this family is generated by all knots whose fundamental groups surject to a symmetri ... Read moreSource: math.ucdavis.edu

Published: 22/11/2017Bae and Park found an upper bound on the arc index of prime links in terms of the minimal crossing number. In this paper, we extend the definition of the arc presentation to spatial graphs and find an ... Read moreSource: math.ucdavis.edu

Published: 22/11/2017We study a class of nonlocal, energydriven dynamical models that govern the motion of closed, embedded curves from both an energetic and dynamical perspective. Our energetic results provide a variety ... Read moreSource: math.ucdavis.edu

Published: 21/11/2017Update at 4:25 p.m. City of Davis police and fire departments have declared the hazardous material situation at 123 B St to be safe. Traffic may still be affected in the area of First and B streets. U ... Read moreSource: www.ucdavis.edu

Published: 21/11/2017Kalindi Vora has been appointed as the new director of the Feminist Research Institute, a special research program of the Office of Research. Read moreSource: www.ucdavis.edu

Published: 21/11/2017Student Housing and Dining Services is offering multiple ways to “Swipe Out Hunger” in the campus community, in a campaign running through Nov. 30. Read moreSource: www.ucdavis.edu

Published: 21/11/2017We use super $q$Howe duality to provide diagrammatic presentations of an idempotented form of the Hecke algebra and of categories of $\mathfrak{gl}_N$modules (and, more generally, $\mathfrak{gl}_{N ... Read moreSource: math.ucdavis.edu

Published: 21/11/2017Campus chefs and planners have learned something from their recent spate of new eateries: It’s best to focus on a few things and do them really well. Read moreSource: www.ucdavis.edu

Published: 21/11/2017UC Davis’ Ann E. Pitzer Center made the Sacramento Business Journal’s list of “Best Real Estate Projects” for 2017. Design and Construction Management (DCM) oversaw the project from planning through c ... Read moreSource: www.ucdavis.edu

Published: 21/11/2017In this article, we give a numerical algorithm to compute braid groups of curves, hyperplane arrangements, and parameterized system of polynomial equations. Our main result is an algorithm that determ ... Read moreSource: math.ucdavis.edu

Published: 21/11/2017Winemaking isn't usually a profession associated with football, but one member of the UC Davis football team is working toward just that. Read moreSource: www.ucdavis.edu

Published: 21/11/2017We prove that all atoroidal automorphisms of $Out(F_N)$ act on the space of projectivized geodesic currents with generalized northsouth dynamics. As an application, we produce new examples of non vir ... Read moreSource: math.ucdavis.edu

Published: 21/11/2017In this paper we give the definition of an adapted generating set and an adapted basis for the first homology group of a compact Riemann surface of genus at least two when the surface has a conformal ... Read moreSource: math.ucdavis.edu

Published: 21/11/2017We give finite presentations of the saturated cluster modular groups of type $X_6$ and $X_7$. We compute the first homology of these groups and conclude that they are different from ArtinTits braid g ... Read moreSource: math.ucdavis.edu

Published: 21/11/2017Finite rank median spaces are a simultaneous generalisation of finite dimensional CAT(0) cube complexes and real trees. If $\Gamma$ is an irreducible lattice in a product of rank one simple Lie groups ... Read moreSource: math.ucdavis.edu

Published: 21/11/2017This article introduces planar shape signatures derived from homology nerves, which are intersecting 1cycles in a homology group endowed with a proximal relator (set of nearness relations) that inclu ... Read moreSource: math.ucdavis.edu

Published: 20/11/2017The University of California, Davis, a world leader in brewing science and education, is now one of the few universities nationwide to have its own branded beer. It has teamed up with Sudwerk Brewing ... Read moreSource: www.ucdavis.edu
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