In this paper we deal with codes identifying sets of vertices in random networks; that is, (1, ≤ ℓ)-identifying codes. These codes enable us to detect sets of faulty processor...
Alan M. Frieze, Ryan Martin, Julien Moncel, Mikl&o...
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a given ...
Word reversing is a combinatorial operation on words that detects pairs of equivalent words in monoids that admit a presentation of a certain form. Here we give conditions for this...
A reflexive graph is a simple undirected graph where a loop has been added at each vertex. If G and H are reflexive graphs and U V (H), then a vertex map f : U V (G) is called n...
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...