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- Hannah Bast, Erik Carlsson, +4 authors Fabien Viger
- ESA
- 2010

We show how to route on very large public transportation networks (up to half a billion arcs) with average query times of a few milliseconds. We take into account many realistic features like:â€¦ (More)

Persistent homology ([3], [13]) is a fundamental tool in the area of computational topology. It can be used to infer topological structure in data sets (see [1], [4]), but variations on the methodâ€¦ (More)

We consider a geographic optimization problem in which we are given a region R, a probability density function f(Â·) defined on R, and a collection of n utility density functions ui(Â·) defined on R.â€¦ (More)

- Henning HolmstrÃ¶m, Ursula Salmon, Erik Carlsson, Petar Petrov, BjÃ¶rn Ohlander
- The Science of the total environment
- 2001

In the Kristineberg mining area in northern Sweden, massive, pyrite-rich Zn Cu ores are intercalated in ca. 1.9 Ga volcano-sedimentary rocks. Investigations of a tailings impoundment remediated byâ€¦ (More)

- Erik Carlsson, Gunnar E. Carlsson, Vin de Silva
- Int. J. Comput. Geometry Appl.
- 2006

We develop a mathematical framework for describing local features of a geometric objectâ€” such as the edges of a square or the apex of a coneâ€”in terms of algebraic topological invariants. The mainâ€¦ (More)

- John Gunnar Carlsson, Erik Carlsson, Raghuveer Devulapalli
- 2013 IEEE/RSJ International Conference onâ€¦
- 2013

Autonomous vehicles (or drones) are very frequently used for servicing a geographic region in numerous applications. Given a geographic territory and a set of n fixed vehicle depots, we consider theâ€¦ (More)

We consider the problem of dividing a territory into sub-regions so as to balance the workloads of a collection of facilities or vehicles over that territory. We assume that the territory is aâ€¦ (More)

- Erik Carlsson, Andrei Okounkov
- 2009

The direct product of two Hilbert schemes of the same surface has natural K-theory classes given by the alternating Ext groups between the two ideal sheaves in question, twisted by a line bundle. Weâ€¦ (More)

- Erik Carlsson
- 2008

|S|=n a(S) m. Specifically, we present an explicit formula for F (m,n) as a product of two matrices, ultimately yielding a polynomial in q = pd. The first matrix is independent of n while the secondâ€¦ (More)

- Erik Carlsson, Jonas Thunberg, BjÃ¶rn Ohlander, Henning HolmstrÃ¶m
- The Science of the total environment
- 2002

A sequential extraction has been carried out on sulfide-rich mine tailings. The purpose was to investigate how elements released by oxidation are secondarily retained in the tailings and the possibleâ€¦ (More)