We show that each of the five basic theories of second order arithmetic that play a central role in reverse mathematics has a natural counterpart in the language of nonstandard ari...
It has been shown that there is a Hamilton cycle in every connected Cayley graph on any group G whose commutator subgroup is cyclic of prime-power order. This note considers conne...
Edward Dobson, Heather Gavlas, Joy Morris, Dave Wi...
Abstract. Given a set of pairwise distances on a set of n points, constructing an edge-weighted tree whose leaves are these n points such that the tree distances would mimic the or...
Mader conjectured that for all there is an integer + ( ) such that every digraph of minimum outdegree at least + ( ) contains a subdivision of a transitive tournament of order . In...
Sequential dynamical systems have the property, that the updates of states of individual cells occur sequentially, so that the global update of the system depends on the order of t...