Spanning tree congestion of planar graphs

Hiu Law; Siu Leung; Mikhail Ostrovskii

doi:10.2140/involve.2014.7.205

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Home > Journals > Involve > Volume 7 > Issue 2 > Article

2014 Spanning tree congestion of planar graphs

Hiu Law, Siu Leung, Mikhail Ostrovskii

Involve 7(2): 205-226 (2014). DOI: 10.2140/involve.2014.7.205

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Abstract

This paper is devoted to estimates of the spanning tree congestion for some planar graphs. We present three main results: (1) We almost determined (up to $\pm 1$ ) the maximal possible spanning tree congestion for planar graphs. (2) The value of congestion indicator introduced by Ostrovskii [Discrete Math. 310, 1204–1209] can be very far from the value of the spanning tree congestion. (3) We find some more examples in which the congestion indicator can be used to find the exact value of the spanning tree congestion.

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Hiu Law. Siu Leung. Mikhail Ostrovskii. "Spanning tree congestion of planar graphs." Involve 7 (2) 205 - 226, 2014. https://doi.org/10.2140/involve.2014.7.205