Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4656729 | Journal of Combinatorial Theory, Series B | 2016 | 21 Pages |
Abstract
Motivated by a conjecture of Gyárfás, recently Böttcher, Hladký, Piguet, and Taraz showed that every collection T1,…,TtT1,…,Tt of trees on n vertices with ∑i=1te(Ti)⩽(n2) and with bounded maximum degree can be packed into the complete graph on (1+o(1))n(1+o(1))n vertices. We generalise this result where we relax the restriction of packing families of trees to families of graphs of any given non-trivial minor-closed class of graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Silvia Messuti, Vojtěch Rödl, Mathias Schacht,