A power law degree distribution is established for a graph evolution model based on the graph class of k-trees. This k-tree-based graph process can be viewed as an idealized model...
In a finite simple undirected graph, a vertex is simplicial if its neighborhood is a clique. We say that, for k 2, a graph G = (VG, EG) is the k-simplicial power of a graph H = (V...
A graph G is the k-leaf power of a tree T if its vertices are leaves of T such that two vertices are adjacent in G if and only if their distance in T is at most k. Then T is a k-le...
In order to deal efficiently with infinite regular trees (or other pointed graph structures), we give new algorithms to store such structures. The trees are stored in such a way th...
The NP-complete Closest 4-Leaf Power problem asks, given an undirected graph, whether it can be modified by at most edge insertions or deletions such that it becomes a 4-leaf powe...