pith. sign in

arxiv: 1206.6605 · v1 · pith:AIG5UELZnew · submitted 2012-06-28 · 🧮 math.CO · cs.DM

A Tractable Variant of Cover Time

classification 🧮 math.CO cs.DM
keywords covercosttimetractablevariantalgorithmcalledcomputation
0
0 comments X
read the original abstract

We introduce a variant of the cover time of a graph, called cover cost, in which the cost of a step is proportional to the number of yet uncovered vertices. It turns out that cover cost is more tractable than cover time; we provide an $O(n^4)$ algorithm for its computation, as well as some explicit formulae. The two values are not very far from each other, and so cover cost might be a useful tool in the study of cover time.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.