We study a problem on edge percolation on product graphs G× K2. Here G is any finite graph and K2 consists of two vertices {0, 1} connected by an edge. Every edge in G × K2 is p...
Given two 3-connected graphs G and H, a construction sequence constructs
G from H (e. g. from the K4) with three basic operations, called
the Barnette-Grünbaum operations. These...
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
We present a set of three new time-dependent models with increasing flexibility for realistic route planning in flight networks. By these means, we obtain small graph sizes while m...
Daniel Delling, Thomas Pajor, Dorothea Wagner, Chr...
Consider a configuration of pebbles distributed on the vertices of a connected graph of order n. A pebbling step consists of removing two pebbles from a given vertex and placing o...