We introduce the concept of an edge-colouring total k-labelling. This is a labelling of the vertices and the edges of a graph G with labels 1, 2, . . . , k such that the weights o...
: A chain or n-link is a sequence of n links whose lengths are fixed and are joined together from their endpoints, free to turn about their endpoints, which act as joints. "Ru...
We study the frugality ratio of truthful mechanisms in path auctions, which measures the extent to which truthful mechanisms “overpay” compared to non-truthful mechanisms. In p...
Abstract— We prove that given a nearly log-concave distribution, in any partition of the space to two well separated sets, the measure of the points that do not belong to these s...
Let T = (V, E, w) be an undirected and weighted tree with node set V and edge set E, where w(e) is an edge weight function for e ∈ E. The density of a path, say e1, e2, . . . , e...