We present an algorithm which takes a graph as input and decides in cubic time if the graph is the cocircuit graph of a uniform oriented matroid. In the affirmative case the algor...
An H-factor of a graph G is a spanning subgraph of G whose connected components are isomorphic to H. Given a properly edge-colored graph G, a rainbow H-subgraph of G is an H-subgr...
Compound methods have been shown to be very e ective in the construction of broadcast graphs. Compound methods generate a large broadcast graph by combining multiple copies of a b...
Michael J. Dinneen, Jose A. Ventura, Mark C. Wilso...
The achromatic number (G) of a graph G = (V, E) is the maximum k such that V has a partition V1, V2, . . . , Vk into independent sets, the union of no pair of which is independent...
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...