Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6871983 | Discrete Applied Mathematics | 2016 | 15 Pages |
Abstract
The sports elimination problem asks whether a team participating in a competition still has a chance to win, given the current standings and the remaining matches to be played among the teams. This problem can be viewed as a graph labelling problem, where arcs receive labels that contribute to the score of both endpoints of the arc, and the aim is to label the arcs in a way that each vertex obtains a score not exceeding its capacity. We investigate the complexity of this problem in detail, using a multivariate approach to examine how various parameters of the input graph (such as the maximum degree, the feedback vertex/edge number, and different width parameters) influence the computational tractability. We obtain several efficient algorithms, as well as certain hardness results.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
KatarÃna Cechlárová, Eva Potpinková, Ildikó Schlotter,