Title
Improvement on the Decay of Crossing Numbers
Abstract
We prove that the crossing number of a graph decays in a “continuous fashion” in the following sense. For any ε> 0 there is a δ> 0 such that for n sufficiently large, every graph G with n vertices and m ≥ n 1 + ε edges has a subgraph G′ of at most (1 − δ)m edges and crossing number at least . This generalizes the result of J. Fox and Cs. Tóth.
Year
DOI
Venue
2012
10.1007/978-3-540-77537-9_5
Graphs and Combinatorics
Keywords
DocType
Volume
following sense,n vertex,graph decay,j. fox,graph g,subgraph g,continuous fashion,m edge,crossing number
Journal
29
Issue
ISSN
ISBN
3
1435-5914
3-540-77536-6
Citations 
PageRank 
References 
4
0.52
6
Authors
3
Name
Order
Citations
PageRank
Jakub Cerný1192.32
Jan Kyncl2185.20
Géza Tóth358155.60