The bandwidth minimization problem for caterpillars with hair length 3 is NP-complete
SIAM Journal on Algebraic and Discrete Methods
SIAM Journal on Discrete Mathematics
An $0(n \log n)$ Algorithm for Bandwidth of Interval Graphs
SIAM Journal on Discrete Mathematics
Bandwidth and density for block graphs
Discrete Mathematics
A survey of graph layout problems
ACM Computing Surveys (CSUR)
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In this paper, we show that the bandwidth minimization problem remains NP-complete for cyclic caterpillars with hair length 1. Cyclic caterpillars with hair length 1 are graphs in which the removal of all pendant vertices results in a simple cycle.