Add to ORKGInternational audienceWe give a comprehensive introduction to the algebra of set functions and its generating functions. This algebraic tool allows us to formulate and prove a product theorem for the enumeration of functions of many different kinds, in particular injective functions, surjective functions, matchings and colourings of the vertices of a hypergraph. Moreover, we develop a general duality theory for counting functions
International audienceThe paper studies the vector space of set functions on a finite set X, which c...
In this work, we presented a new law which was based on the well-known duality property for the set ...
The purpose of this paper is to investigate the integrability, measurability, and summability of cer...
International audienceWe give a comprehensive introduction to the algebra of set functions and its g...
AbstractWe give a comprehensive introduction to the algebra of set functions and its generating func...
AbstractTriesch (1997) [25] conjectured that Hall’s classical theorem on matchings in bipartite grap...
Summary. In the article we introduce functors yielding to a binary operation its composition with an...
International audienceTriesch (1997) [25] conjectured that Hall's classical theorem on matchings in ...
Gives an introduction to the theory of function algebras. This book gives the general concepts of th...
AbstractWe consider the problems of realizing set functions as cut functions on graphs and hypergrap...
Summary. We define the following mappings: the characteristic function of a subset of a set, the inc...
Summary. In this paper we introduce sets containing number-valued func-tions. Different arithmetic o...
In this paper, some notions and basic concepts related to hypergraph are presented. Next, hypergraph...
The investigation of this thesis is introduced by finding all the relationships existing among the v...
International audienceThe paper studies the vector space of set functions on a finite set X, which c...
In this work, we presented a new law which was based on the well-known duality property for the set ...
The purpose of this paper is to investigate the integrability, measurability, and summability of cer...
International audienceWe give a comprehensive introduction to the algebra of set functions and its g...
AbstractWe give a comprehensive introduction to the algebra of set functions and its generating func...
AbstractTriesch (1997) [25] conjectured that Hall’s classical theorem on matchings in bipartite grap...
Summary. In the article we introduce functors yielding to a binary operation its composition with an...
International audienceTriesch (1997) [25] conjectured that Hall's classical theorem on matchings in ...
Gives an introduction to the theory of function algebras. This book gives the general concepts of th...
AbstractWe consider the problems of realizing set functions as cut functions on graphs and hypergrap...
Summary. We define the following mappings: the characteristic function of a subset of a set, the inc...
Summary. In this paper we introduce sets containing number-valued func-tions. Different arithmetic o...
In this paper, some notions and basic concepts related to hypergraph are presented. Next, hypergraph...
The investigation of this thesis is introduced by finding all the relationships existing among the v...
International audienceThe paper studies the vector space of set functions on a finite set X, which c...
In this work, we presented a new law which was based on the well-known duality property for the set ...
The purpose of this paper is to investigate the integrability, measurability, and summability of cer...