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...
Despite of their applicability betweennness constraints have (to the authorās knowledge) hardly been considered from the random structures point of view. They are essentially diļ...
We study the empire colouring problem (as deļ¬ned by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
We propose a method to extract purely functional contents from logical inductive types in the context of the Calculus of Inductive Constructions. This method is based on a mode con...
Abstract. We present a formal treatment of normalization by evaluation in type theory. The involved semantics of simply-typed Ī»-calculus is exactly the simply typed fragment of th...