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» Lattices and Maximum Flow Algorithms in Planar Graphs
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ESA
2009
Springer
127views Algorithms» more  ESA 2009»
13 years 11 months ago
Maximum Flow in Directed Planar Graphs with Vertex Capacities
In this paper we present an O(n log n) algorithm for finding a maximum flow in a directed planar graph, where the vertices are subject to capacity constraints, in addition to the...
Haim Kaplan, Yahav Nussbaum
CORR
2011
Springer
173views Education» more  CORR 2011»
12 years 10 months ago
Multiple-Source Single-Sink Maximum Flow in Directed Planar Graphs in O(diameter*n*log(n)) Time
We develop a new technique for computing maximum flow in directed planar graphs with multiple sources and a single sink that significantly deviates from previously known techniqu...
Philip N. Klein, Shay Mozes
SODA
2010
ACM
205views Algorithms» more  SODA 2010»
14 years 1 months ago
Maximum Flows and Parametric Shortest Paths in Planar Graphs
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
Jeff Erickson
COCOON
2008
Springer
13 years 6 months ago
Computing Maximum Flows in Undirected Planar Networks with Both Edge and Vertex Capacities
Abstract. We study the maximum flow problem in an undirected planar network with both edge and vertex capacities (EVC-network). A previous study reduces the minimum cut problem in ...
Xianchao Zhang, Weifa Liang, Guoliang Chen