A spanning subgraph H of a graph G is a 2-detour subgraph of G if for each x, y V (G), dH (x, y) dG(x, y) + 2. We prove a conjecture of Erdos, Hamburger, Pippert, and Weakley by ...
We present embeddings of generalized ladders as subgraphs into the hypercube. By embedding caterpillars into ladders, we obtain embeddings of caterpillars into the hypercube. In t...
Sergei L. Bezrukov, Burkhard Monien, Walter Unger,...
Fibonacci cube is a subgraph of hypercube induced on vertices without two consecutive 1's. If we remove from Fibonacci cube the vertices with 1 both in the first and the last...
All cubic partial cubes (i.e., cubic isometric subgraphs of hypercubes) up to 30 vertices and all edge-critical partial cubes up to 14 vertices are presented. The lists of graphs ...