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relation to proper interval graphs |
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In terms of matrices, the (unweighted) graph bandwidth is the [[bandwidth (matrix theory)|bandwidth]] of the [[symmetric matrix]] which is the [[adjacency matrix]] of the graph.
The bandwidth may also be defined as one less than the [[maximum clique]] size in a [[proper interval graph|proper interval]] supergraph of the given graph, chosen to minimize its clique size {{harv|Kaplan|Shamir|1996}}.
==Bandwidth formulas for some graphs==
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| title = Pathwidth, bandwidth, and completion problems to proper interval graphs with small cliques
| year = 1996
| journal = [[SIAM Journal on Computing]]
| pages = 540–561
| volume = 25
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