We propose a naive version of action semantics that begins with a selection of “transient” and “persistent” facets, each characterized as a partial monoid. Yielders are de...
In this paper, we consider a number of results and six conjectures on properly coloured (PC) paths and cycles in edge-coloured multigraphs. We overview some known results and prov...
We provide a new proof of a theorem of Saks which is an extension of Greene’s Theorem to acyclic digraphs, by reducing it to a similar, known extension of Greene and Kleitman’s...
Given a family of Horn clauses, what is the minimal number of Horn clauses implying all other clauses in the family? What is the maximal number of Horn clauses from the family wit...
Marina Langlois, Dhruv Mubayi, Robert H. Sloan, Gy...
We introduce a new class of games, asynchronous congestion games (ACGs). In an ACG, each player has a task that can be carried out by any element of a set of resources, and each r...
Consider a tree T and a forest F. The paper discusses the following new problems: The Forest vertex-cover problem (FVC): cover the vertices of T by a minimum number of copies of tr...
We consider a class of arithmetic equations over the complete lattice of integers (extended with −∞ and ∞) and provide a polynomial time algorithm for computing least solutio...