On the Radon Number for P 3-Convexity

Mitre C Dourado,Philipp M Schäfer,Vinícius Fernandes Dos Santos,Alexandre Toman,Dieter Rautenbach,Jayme L Szwarcfiter

doi:10.1007/978-3-642-29344-3_23

On the Radon Number for P 3-Convexity

Mitre C Dourado, Philipp M Schäfer + Show 4 more

https://doi.org/10.1007/978-3-642-29344-3_23

Copy DOI

Publication Date: Jan 1, 2012

Citations: 3

Affiliation: Universidade Federal do Rio de Janeiro, University of Ulm

#Radon Number #Spreading Processes In Networks + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

The generalization of classical results about convex sets in ℝn to abstract convexity spaces, defined by sets of paths in graphs, leads to many challenging structural and algorithmic problems. Here we study the Radon number for the P3-convexity on graphs. P3-convexity has been proposed in connection with rumour and disease spreading processes in networks and the Radon number allows generalizations of Radon's classical convexity result. We establish hardness results, describe efficient algorithms for trees, and prove a best-possible bound on the Radon number of connected graphs.

Full Text