In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
— Dual-failure scenarios are a real possibility in today’s optical networks and it is becoming more and more important for carriers and network operators to consider them when ...
This paper presents a method to find new De Bruijn cycles based on ones of lesser order. This is done by mapping a De Bruijn cycle to several vertex disjoint cycles in a De Bruijn ...
A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
In previous work we have discussed the importance of identifying the cycles that occur in a logic program under the answer set semantics, and the connections between cycles, that w...