Algorithmic and structural aspects of the P (3)-Radon number

作者:Dourado Mitre C; Rautenbach Dieter*; dos Santos Vinicius Fernandes; Schaefer Philipp M; Szwarcfiter Jayme L; Toman Alexandre
来源:Annals of Operations Research, 2013, 206(1): 75-91.
DOI:10.1007/s10479-013-1320-9

摘要

The generalization of classical results about convex sets in a%26quot;e (n) 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 P (3)-convexity on graphs. P (3)-convexity has been proposed in connection with rumour and disease spreading processes in networks and the Radon number allows generalizations of Radon%26apos;s classical convexity result. We establish hardness results and describe efficient algorithms for trees.

  • 出版日期2013-7