A transitive orientation of an undirected graph is an assignment of directions to its edges so that these directed edges represent a transitive relation between the vertices of th...
We introduce and study a modi ed notion of planarity, in which two regions of a map are considered adjacent when they share any point of their boundaries not an edge, as standard...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
We analyze the structure of equilibria and the price of anarchy in the family of network creation games considered extensively in the past few years, which attempt to unify the net...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Hamid M...
Given an undirected graph G = (V, E) and a weight function w : E → Z+ , we consider the problem of orienting all edges in E so that the maximum weighted outdegree among all verti...
Let ^G be a graph obtained from a graph G with no loops or coloops by replacing each edge e = uw of G by a connected graph He that has only the vertices u and w in common with the...