We study the expected value of the length Ln of the minimum spanning tree of the complete graph Kn when each edge e is given an independent uniform [0, 1] edge weight. We sharpen ...
Colin Cooper, Alan M. Frieze, Nate Ince, Svante Ja...
This paper addresses the following question for a given graph H: what is the minimum number f(H) such that every graph with average degree at least f(H) contains H as a minor? Due...
We consider “unconstrained” random k-XORSAT, which is a uniformly random system of m linear non-homogeneous equations in F2 over n variables, each equation containing k ≥ 3 v...
Let k be a positive integer and let X be a k-fold packing of infinitely many simply connected compact sets in the plane, that is, assume that every point belongs to at most k sets...
Given a property of Boolean functions, what is the minimum number of queries required to determine with high probability if an input function satisfies this property? This is a f...
: Two open questions about the visual re-identification of individual objects over extended time periods are briefly reviewed: 1) How much a priori information about the nature of ...
The natural rhythms of speech help a listener follow what is being said, especially in noisy conditions. There is increasing evidence for links between rhythm abilities and languag...
Understanding adoption patterns of smartphones is of vital importance to telecommunication managers in today’s highly dynamic mobile markets. In this paper, we leverage the netw...