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CORR
1999
Springer
145views Education» more  CORR 1999»
13 years 5 months ago
Subgraph Isomorphism in Planar Graphs and Related Problems
We solve the subgraph isomorphism problem in planar graphs in linear time, for any pattern of constant size. Our results are based on a technique of partitioning the planar graph ...
David Eppstein
WG
2004
Springer
13 years 11 months ago
Planar Graphs, via Well-Orderly Maps and Trees
The family of well-orderly maps is a family of planar maps with the property that every connected planar graph has at least one plane embedding which is a well-orderly map. We show...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
FSTTCS
2005
Springer
13 years 11 months ago
The Directed Planar Reachability Problem
We investigate the s-t-connectivity problem for directed planar graphs, which is hard for L and is contained in NL but is not known to be complete. We show that this problem is log...
Eric Allender, Samir Datta, Sambuddha Roy
ESA
2009
Springer
127views Algorithms» more  ESA 2009»
14 years 16 days 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
DM
2002
104views more  DM 2002»
13 years 5 months ago
4-connected maximal planar graphs are 4-ordered
It is shown that in a 4-connected maximal planar graph there is for any four vertices a, b, c and d, a cycle in the graph that contains the four vertices and visits them in the or...
Wayne Goddard