Title
Brush your trees!
Abstract
Bryant et¿al. (2014) propose a graph cleaning process and study the corresponding brush number. As their main result they show that the brush number of a tree with ¿ leaves is at least ¿ ¿ + 1 2 ¿ and at most ¿ ¿ + 1 2 ¿ . Answering one of their questions, we show that the trees with an even number ¿ of leaves and brush number ¿ 2 can be recognized efficiently. Furthermore, we provide a simpler proof of their main result.
Year
DOI
Venue
2015
10.1016/j.dam.2015.06.004
Discrete Applied Mathematics
Keywords
Field
DocType
Network cleaning,Brush number,Nowhere-zero flows
Discrete mathematics,Graph,Combinatorics,Brush,Mathematics
Journal
Volume
Issue
ISSN
194
C
0166-218X
Citations 
PageRank 
References 
1
0.37
2
Authors
3
Name
Order
Citations
PageRank
Lucia Draque Penso119620.46
Dieter Rautenbach2946138.87
Aline Ribeiro de Almeida361.58