We present several simple methods to construct planar, strictly upward, strongly order-preserving, straight-line drawings of any n-node binary tree. In particular, it is shown that...
In this paper, we show how we can derive lower bounds and also compute the exact distortion for the line embeddings of some special metrics, especially trees and graphs with certai...
A circular-arc graph is the intersection graph of a set of arcs on the circle. It is a Helly circular-arc graph if it has a Helly model, where every maximal clique is the set of a...
Min Chih Lin, Ross M. McConnell, Francisco J. Soul...
In this paper, we show that the dimension of the adjacency poset of a planar graph is at most 8. From below, we show that there is a planar graph whose adjacency poset has dimensio...
We investigate further the concept of asymptotic connectivity as defined previously by the first author. In particular, we compute an upper bound on the asymptotic connectivity of ...