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- W2046337003 abstract "In 1987, Simonson conjectured that every k-outerplanar graph of maximum degree d has spanning tree congestion at most k⋅d [S. Simonson, A variation on the min cut linear arrangement problem, Math. Syst. Theory 20 (1987) 235–252]. We show that his conjecture is true and the bound is tight for outerplanar graphs and k-outerplanar graphs of maximum degree 4. We give a precise characterization of the spanning tree congestion of outerplanar graphs, and thus show that the spanning tree congestion of outerplanar graphs can be determined in linear time." @default.
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- W2046337003 date "2011-06-01" @default.
- W2046337003 modified "2023-10-16" @default.
- W2046337003 title "Spanning tree congestion of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si8.gif display=inline overflow=scroll><mml:mi>k</mml:mi></mml:math>-outerplanar graphs" @default.
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- W2046337003 doi "https://doi.org/10.1016/j.disc.2011.03.002" @default.
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