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- Ross J. Kang, Tobias Müller
- Symposium on Computational Geometry
- 2011

A graph G is a k-sphere graph if there are k-dimensional real vectors v1,..., vn such that ij ∈ E(G) if and only if the distance between vi and vj is at most 1. A graph G is a k-dot product graph if… (More)

- Michel Bode, Nikolaos Fountoulakis, Tobias Müller
- Electr. J. Comb.
- 2015

We consider a model for complex networks that was introduced by Krioukov et al. In this model, $N$ points are chosen randomly inside a disk on the hyperbolic plane and any two of them are joined by… (More)

- Colin McDiarmid, Tobias Müller
- J. Comb. Theory, Ser. B
- 2011

A disk graph is the intersection graph of disks in the plane, a unit disk graph is the intersection graph of same radius disks in the plane, and a segment graph is an intersection graph of line… (More)

- Colin McDiarmid, Tobias Müller
- Combinatorica
- 2011

AbstractGiven independent random points X1,...,Xn ∈ℝd with common probability distribution ν, and a positive distance r=r(n)>0, we construct a random geometric graph Gn with vertex set {1,..., n}… (More)

- Tobias Müller, Xavier Pérez-Giménez, Nicholas C. Wormald
- Journal of Graph Theory
- 2009

We consider the standard random geometric graph process in which n vertices are placed at random on the unit square and edges are sequentially added in increasing order of edge-length. For fixed k⩾1,… (More)

- Tobias Müller, Jean-Sébastien Sereni
- Combinatorics, Probability & Computing
- 2009

We model a problem about networks built from wireless devices using identifying and locating–dominating codes in unit disk graphs. It is known that minimizing the size of an identifying code is… (More)

- Ross J. Kang, Matthias Mnich, Tobias Müller
- SIAM J. Discrete Math.
- 2012

A direct fuel-injected, multivalve, twin overhead cam shaft internal combustion engine. The fuel injector is mounted in the cylinder bore on either the intake or the exhaust side and sprays generally… (More)

- Tobias Müller
- Combinatorica
- 2008

A random geometric graph Gn is constructed by taking vertices X1,…,Xn∈ℝd at random (i.i.d. according to some probability distribution ν with a bounded density function) and including an edge between… (More)