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20052023
most citedSome relational structures with polynomial growth and their associated algebras

16 citations · 94 across the 51 of their papers we have counts for

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48 papers · 1 filter

math.CO2023

Ordered structures with no finite monomorphic decomposition. Application to the profile of hereditary classes

Djamila Oudrar, Maurice Pouzet

We present a structural approach of some results about jumps in the behavior of the profile (alias generating function) of hereditary classes of finite structures. We consider the…

math.CO2022

The chain covering number of a poset with no infinite antichains

Uri Abraham, Maurice Pouzet

The chain covering number $\Cov(P)$ of a poset is the least number of chains needed to cover . For a cardinal , we give a list of posets of cardinality and covering numbe…

math.CO2022

Minimal prime ages, words and permutation graphs

Djamila Oudrar, Maurice Pouzet, Imed Zaguia

This paper is a contribution to the study of hereditary classes of finite graphs. We classify these classes according to the number of prime structures they contain. We consider su…

math.CO2022

Minimal prime ages, words and permutation graphs Extended abstract

Djamila Oudrar, Maurice Pouzet, Imed Zaguia

This paper is a contribution to the study of hereditary classes of finite graphs. We classify these classes according to the number of prime structures they contain. We consider su…

math.CO2021

Hereditary classes of ordered sets of width at most two

Maurice Pouzet, Imed Zaguia

This paper is a contribution to the study of hereditary classes of relational structures, these classes being quasi-ordered by embeddability. It deals with the specific case of ord…

math.CO2021

Metric properties of incomparability graphs with an emphasis on paths

Maurice Pouzet, Imed Zaguia

We describe some metric properties of incomparability graphs. We consider the problem of the existence of infinite paths, either induced or isometric, in the incomparability graph…