4 citations · 9 across the 8 of their papers we have counts for
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math.CO2020★ 3 cited
An Asymptotic Expansion for the Number of 2-Connected Chord Diagrams
Ali Assem Mahmoud
We derive a functional relation between the generating functions of connected chord diagrams and 2-connected chord diagrams. This relation enables us to calculate an asymptotic exp…
math.CO2020★ 4 cited
Connected Chord Diagrams and the Combinatorics of Asymptotic Expansions
Ali Assem Mahmoud, Karen Yeats
In this article we study an asymptotic expansion for , the number of connected chord diagrams on chords. The expansion is obtained in earlier work by means of alien deriva…
math.CO2020
On the Enumerative Structures in Quantum Field Theory
Ali Assem Mahmoud
This thesis addresses a number of enumerative problems that arise in the context of quantum field theory and in the process of renormalization. In particular, the enumeration of ro…