works on

From the 1 of 1.2k papers with an AI index.

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19942026
most citedQuantum ESPRESSO: a modular and open-source software project for quantum simulations of materials

29.3k citations

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33 papers · 1 filter

math.CO2025

On the association scheme of perfect matchings and their designs

John Bamberg, Lukas Klawuhn

We investigate generalisations of 1-factorisations and hyperfactorisations of the complete graph . We show that they are special subsets of the association scheme obtained…

math.CO2024★ 2 cited

Designs in finite classical polar spaces

Michael Kiermaier, Kai-Uwe Schmidt, Alfred Wassermann

Combinatorial designs have been studied for nearly 200 years. Fifty years ago, Cameron, Delsarte, and Ray-Chaudhury started investigating their q-analogs, also known as subspace de…

math.CO2023

Fractional factors and component factors in graphs with isolated toughness smaller than 1

Isaak H. Wolf

Let be a simple graph and let be two integers with . We prove that for every if and only if has a $\{C_{2i+1},T…

math.CO2023

Rotation -graphs

Eckhard Steffen, Isaak H. Wolf

We study rotation -graphs and show that for every -graph of odd regularity there is a simple rotation -graph such that can be obtained form by a finite n…

math.CO2022

Edge-connectivity and pairwise disjoint perfect matchings in regular graphs

Yulai Ma, Davide Mattiolo, Eckhard Steffen +1

For let be the maximum number such that every -edge-connected -graph has pairwise disjoint perfect matchings. There are only a few values o…

math.CO2022

Bounds for the chromatic index of signed multigraphs

Eckhard Steffen, Isaak H. Wolf

The paper studies edge-coloring of signed multigraphs and extends classical Theorems of Shannon and König to signed multigraphs. We prove that the chromatic index of a signed multi…