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Maximum (s, t)-Flows in Planar Networks in O(|V| log |V|) Time

✍ Scribed by Karsten Weihe

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 634 KB
Volume: 55
Category: Article
ISSN: 0022-0000
DOI: 10.1006/jcss.1997.1538

No coin nor oath required. For personal study only.

✦ Synopsis

Let G=(V, A) be a directed, planar graph, let s, t # V, s{t, and let c a >0 be the capacity of an arc a # A. The problem is to find a maximum flow from s to t in G subject to these capacities. The best asymptotic bound known so far is O(n log n } min[-n, 3

n log C]), where n= |V | and C= a # A c a . We introduce a new algorithm, which requires only O(n log n) time.

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Maximum (s,&#xa0;t)-Flows in Planar Networks in O(|V|&#xa0;log&#xa0;|V|) Time

✦ Synopsis

Maximum (s, t)-Flows in Planar Networks in O(|V| log |V|) Time