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20022009
most citedQuantum ESPRESSO: a modular and open-source software project for quantum simulations of materials

29.3k citations

Showing math.COShow all

21 papers · 1 filter

math.CO2009

Decompositions into subgraphs of small diameter

Jacob Fox, Benny Sudakov

We investigate decompositions of a graph into a small number of low diameter subgraphs. Let P(n,ε,d) be the smallest k such that every graph G=(V,E) on n vertices has an edge parti…

math.CO2009

Enumeration of non-crossing pairings on bit strings

Todd Kemp, Karl Mahlburg, Amarpreet Rattan +1

A non-crossing pairing on a bitstring matches 1s and 0s in a manner such that the pairing diagram is nonintersecting. By considering such pairings on arbitrary bitstrings $1^{n_1}…

math.CO2009

Paths and stability number in digraphs

Jacob Fox, Benny Sudakov

The Gallai-Milgram theorem says that the vertex set of any digraph with stability number k can be partitioned into k directed paths. In 1990, Hahn and Jackson conjectured that this…

math.CO2009

Large almost monochromatic subsets in hypergraphs

David Conlon, Jacob Fox, Benny Sudakov

We show that for all and there is a constant such that every -coloring of the triples of an -element set contains a subset of size $c\sqrt…

math.CO2009

A note on embedding hypertrees

Po-Shen Loh

A classical result from graph theory is that every graph with chromatic number χ> t contains a subgraph with all degrees at least t, and therefore contains a copy of every t-edge t…

math.CO2008

Directed graphs without short cycles

Jacob Fox, Peter Keevash, Benny Sudakov

For a directed graph without loops or parallel edges, let denote the size of the smallest feedback arc set, i.e., the smallest subset such that $G \sm X…