Title
Bandwidth of trees of diameter at most 4.
Abstract
For a graph G, let γ:V(G)→{1,…,|V(G)|} be a one-to-one function. The bandwidth of γ is the maximum of |γ(u)−γ(v)| over uv∈E(G). The bandwidth of G, denoted b(G), is the minimum bandwidth over all embeddings γ, b(G)=minγ{max{|γ(u)−γ(v)|:uv∈E(G)}}. In this paper, we show that the bandwidth computation problem for trees of diameter at most 4 can be solved in polynomial time. This naturally complements the result computing the bandwidth for 2-caterpillars.
Year
DOI
Venue
2012
10.1016/j.disc.2012.03.006
Discrete Mathematics
Keywords
Field
DocType
Bandwidth,Tree,Polynomial time algorithm
Discrete mathematics,Graph,Combinatorics,Bandwidth (signal processing),Time complexity,Mathematics,Computation
Journal
Volume
Issue
ISSN
312
12
0012-365X
Citations 
PageRank 
References 
0
0.34
2
Authors
9
Name
Order
Citations
PageRank
Mark Bilinski1121.47
Kwang Ju Choi200.34
Deborah Chun343.52
Guoli Ding444451.58
Stan Dziobiak532.14
Rodrigo Farnham600.34
Perry Iverson7121.72
Shirley Leu800.34
Lisa Warshauer Lowrance900.34