Consider an n-vertex graph G = (V, E) of maximum degree ∆, and suppose that each vertex v ∈ V hosts a processor. The processors are allowed to communicate only with their neig...
The k-Leaf Power recognition problem is a particular case of graph power problems: For a given graph it asks whether there exists an unrooted tree--the k-leaf root--with leaves on...
We study the problem how to draw a planar graph such that every vertex is incident to an angle greater than π. In general a straightline embedding cannot guarantee this property....
Abstract. Closeness centrality is an important concept in social network analysis. In a graph representing a social network, closeness centrality measures how close a vertex is to ...
We study a novel separator property called k-path separable. Roughly speaking, a k-path separable graph can be recursively separated into smaller components by sequentially removi...