Title
Tree-length equals branch-length
Abstract
The graph parameter tree-length, which is defined in terms of Robertson-Seymour's tree decomposition, was introduced by Dourisboure and Gavoille [Y. Dourisboure, C. Gavoille, Tree-decompositions with bags of small diameter, Discrete Math. 307 (2007) 2008-2029], and has recently been studied. In this paper, we introduce a new graph parameter branch-length, which is defined in terms of Robertson-Seymour's branch decomposition. We also prove the equivalence between tree-length and branch-length.
Year
DOI
Venue
2009
10.1016/j.disc.2009.01.009
Discrete Mathematics
Keywords
Field
DocType
branch-length,tree-length,tree decomposition
Graph,Discrete mathematics,Combinatorics,Tree (graph theory),Tree decomposition,Decomposition method (constraint satisfaction),Equivalence (measure theory),Mathematics,Branch-decomposition
Journal
Volume
Issue
ISSN
309
13
Discrete Mathematics
Citations 
PageRank 
References 
3
0.42
6
Authors
2
Name
Order
Citations
PageRank
Kaori Umezawa130.42
Koichi Yamazaki222221.85