activity
20072026
most citedAn approximate version of the Tree Packing Conjecture

30 citations · 216 across the 23 of their papers we have counts for

collaborators

23 papers

math.CO2026

The asymptotic version of the Erdős-Sós conjecture and beyond

Akbar Davoodi, Diana Piguet, Hanka Řada +1

Klimošová, Piguet, and Rozhoň conjectured that any graph with minimum degree and sufficiently many vertices of degree should contain all trees with edges. We prove an…

math.CO2021★ 1 cited

The tree packing conjecture for trees of almost linear maximum degree

Peter Allen, Julia Böttcher, Dennis Clemens +3

We prove that there is such that for all sufficiently large , if are any trees such that has vertices and maximum degree at most , the…

math.CO2018★ 4 cited

A median-type condition for graph tiling

Diana Piguet, Maria Saumell

Komlos [Tiling Turan theorems, Combinatorica, 20,2 (2000), 203{218] determined the asymptotically optimal minimum degree condition for covering a given proportion of vertices of a…

math.CO2017★ 20 cited

Packing degenerate graphs

Peter Allen, Julia Böttcher, Jan Hladký +1

Given and , whenever is sufficiently small and sufficiently large, if is a family of -degenerate graphs of individual orders at most , maximu…

math.CO2016★ 8 cited

Komlós's tiling theorem via graphon covers

Jan Hladký, Ping Hu, Diana Piguet

Komlos [Komlos: Tiling Turan Theorems, Combinatorica, 2000] determined the asymptotically optimal minimum-degree condition for covering a given proportion of vertices of a host gra…

math.CO2016★ 8 cited

Tilings in graphons

Jan Hladky, Ping Hu, Diana Piguet

We introduce a counterpart to the notion of vertex disjoint tilings by copy of a fixed graph F to the setting of graphons. The case F=K_2 gives the notion of matchings in graphons.…