When the dual of a normed space X is endowed with the weak∗ topology, the biconjugates of the proper convex lower semicontinuous functions defined on X coincide with the functions themselves. This is not the case when X∗ is endowed with the strong topology. Working in the latter framework, we give formulae for the biconjugates of some functions that appear often in convex optimization, which ho...

Haviland and Thomason and Chung and Graham were the rst to investigate systematically some properties of quasi-random hy-pergraphs. In particular, in a series of articles, Chung and Graham considered several quite disparate properties of random-like hypergraphs of density 1=2 and proved that they are in fact equivalent. The central concept in their work turned out to be the so called deviation ...

The revelation principle asserts that every outcome brought by a mechanism is realized by a truthful direct mechanism. The present paper investigates the regularity conditions of these two mechanisms in the continuous space of the agent’s type. It questions what regularity condition a general mechanism confers upon a direct mechanism through the revelation principle. By so doing, we elucidate t...

In the context of mixed complementarity problems, various concepts of solution regularity are known, each of them playing a certain role in related theoretical and algorithmic developments. In this note, we provide the complete picture of relations between the most important regularity conditions for mixed complementarity problems. A special attention is paid to the particular cases of a nonlin...

Haviland and Thomason and Chung and Graham were the first to investigate systematically some properties of quasi-random hypergraphs. In particular, in a series of articles, Chung and Graham considered several quite disparate properties of random-like hypergraphs of density 1/2 and proved that they are in fact equivalent. The central concept in their work turned out to be the so called deviation...

We show that if E is an arbitrary acyclic graph then the Leavitt path algebra LK(E) is locally K-matricial; that is, LK(E) is the direct union of subalgebras, each isomorphic to a finite direct sum of finite matrix rings over the fieldK. As a consequence we get our main result, in which we show that the following conditions are equivalent for an arbitrary graph E: (1) LK (E) is von Neumann regu...

In this paper we introduce the notion of intuitionistic fuzzy f morphism on intutionistic fuzzy graphs and regular intutionistic fuzzy graph. We study the action of intuitionistic fuzzy f morphism on intuitionistic fuzzy strong regular graphs. We derive some simple but elegent results on weak and coweak isomophisms. Mathematics Subject Classification: 03E72, 03F55