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» On the Complexity of Point Recolouring in Geometric Graphs
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EM
2010
155views Management» more  EM 2010»
13 years 7 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...
CORR
2010
Springer
190views Education» more  CORR 2010»
13 years 7 months ago
Overlap properties of geometric expanders
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
Jacob Fox, Mikhail Gromov, Vincent Lafforgue, Assa...
GIS
2008
ACM
14 years 8 months ago
Applying hierarchical graphs to pedestrian indoor navigation
In this paper we propose to apply hierarchical graphs to indoor navigation. The intended purpose is to guide humans in large public buildings and assist them in wayfinding. We sta...
Edgar-Philipp Stoffel, Hans Jürgen Ohlbach, K...
PODC
2003
ACM
14 years 18 days ago
Geometric ad-hoc routing: of theory and practice
All too often a seemingly insurmountable divide between theory and practice can be witnessed. In this paper we try to contribute to narrowing this gap in the field of ad-hoc rout...
Fabian Kuhn, Roger Wattenhofer, Yan Zhang, Aaron Z...
COMPGEOM
2008
ACM
13 years 9 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel