Concept

Glossary of graph theory

Related publications (89)

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Exploring Spatial Characteristics of Urban Transportation Networks

Nikolaos Geroliminis, Yuxuan Ji

It has been shown recently that a Macroscopic Fundamental Diagram (MFD) exists in urban transportation networks under certain conditions. However, MFD is not universally expected. Previous research demonstrates the existence of MFDs in homogeneous networks ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Microsimulation Framework for Urban Price-Taker Markets

Bilal Farooq

In the context of integrated transportation and other urban engineering infrastructure systems, there are many examples of markets, where consumers exhibit price-taking behaviour. While this behaviour is ubiquitous, the underlying mechanism can be captured ...

2011

Microsimulation Framework for Urban Price-Taker Markets

Bilal Farooq

2011

Chebyshev polynomial approximation for transductive learning on graphs

Nathanaël Perraudin

The goal of transductive learning is to find a way to recover the labels of lots of data with only a few known samples. In this work, we will work on graphs for two reasons. First, it’s possible to construct a graph from a given dataset with features. The ...

2011

On the Page Number of Upward Planar Directed Acyclic Graphs

Radoslav Fulek, Fabrizio Frati, Andres Jacinto Ruiz Vargas

In this paper we study the page number of upward planar directed acyclic graphs. We prove that: (I) the page number of any n-vertex upward planar triangulation G whose every maximal 4-connected component has page number k is at most min {O(k log n), O(2(k) ...

Springer-Verlag Berlin2011

Drawing planar graphs of bounded degree with few slopes

János Pach, Balázs Keszegh, Doemoetoer Palvoelgyi

We settle a problem of Dujmovic, Eppstein, Suderman, and Wood by showing that there exists a function f with the property that every planar graph G with maximum degree d admits a drawing with noncrossing straight-line edges, using at most f(d) different sl ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2011

Local Graph-based Distributed Control for Safe Highway Platooning

Alcherio Martinoli, Sven Adrian Gowal, Riccardo Falconi

Using graph theory, this paper investigates how a group of vehicles, endowed with local positioning capabilities (range and bearing to other vehicles), can keep a predefined formation. We propose a longitudinal and lateral controller that stabilizes a syst ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Graph based distributed control of non-holonomic vehicles endowed with local positioning information engaged in escorting missions

Alcherio Martinoli, Sven Adrian Gowal, Riccardo Falconi

Using graph theory, this paper investigates how a group of robots, endowed with local positioning (range and bearing from other robots), can be engaged in a leader- following mission whilst keeping a predefined configuration. The possibility to locally cha ...

IEEE2010

Dominating Sets in Triangulations on Surfaces

A dominating set D of a graph G is a set such that each vertex v of G is either in the set or adjacent to a vertex in the set. Matheson and Tarjan (1996) proved that any n-vertex plane triangulation has a dominating set of size at most n/3, and conjectured ...

2010

Decomposition of Geometric Set Systems and Graphs

We study two decomposition problems in combinatorial geometry. The first part of the thesis deals with the decomposition of multiple coverings of the plane. We say that a planar set is cover-decomposable if there is a constant m such that any m-fold coveri ...

EPFL2010