Based on an inductive definition of triangulations, a theory of undirected planar graphs is developed in Isabelle/HOL. The proof of the 5 colour theorem is discussed in some detai...
If G is a graph with vertex set [n] then A 2[n] is G-intersecting if for all A, B A either A B = or there exist a A and b B such that a G b. The question of how large a k-un...
Given an undirected hypergraph and a subset of vertices S V with a specified root vertex r S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the hypered...
A proper vertex coloring of a graph is equitable if the sizes of its color classes differ by at most one. In this note, we prove that if G is a graph such that for each edge xy E...
The problem of computing periods in words, or finite sequences of symbols from a finite alphabet, has important applications in several areas including data compression, string se...