Title
On spanning trees and walks of low maximum degree
Abstract
This article uses the discharging method to obtain the best possible results that a 3-connected graph embeddable on a surface of Euler characteristic χ ≤ -46 has a spanning tree of maximum degree at most $\lceil {{8-2\chi}\over{3}}\rceil$ and a closed, spanning walk meetting each vertex at most $\lceil {{6-2\chi}\over{3}}\rceil$ times. Each of these results is shown to be best possible. © 2001 John Wiley & Sons, Inc. J Graph Theory 36: 67–74, 2001
Year
DOI
Venue
2001
10.1002/1097-0118(200102)36:2<>1.0.CO;2-W
Journal of Graph Theory
Keywords
Field
DocType
spanning trees,maximum degree,spanning tree
Graph theory,Discharging method,Topology,Discrete mathematics,Combinatorics,Minimum degree spanning tree,Euler characteristic,Degree (graph theory),Spanning tree,Shortest-path tree,Mathematics,Minimum spanning tree
Journal
Volume
Issue
ISSN
36
2
0364-9024
Citations 
PageRank 
References 
5
0.46
7
Authors
2
Name
Order
Citations
PageRank
Daniel P. Sanders147145.56
Yue Zhao212511.88