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» Parity Problems in Planar Graphs
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ENDM
2008
123views more  ENDM 2008»
13 years 7 months ago
Morphing Planar Graph Drawings with Bent Edges
We give an algorithm to morph between two planar drawings of a graph, preserving planarity, but allowing edges to bend. The morph uses a polynomial number of elementary steps, whe...
Anna Lubiw, Mark Petrick
CORR
2011
Springer
173views Education» more  CORR 2011»
13 years 2 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
MST
2011
207views Hardware» more  MST 2011»
13 years 2 months ago
Fixpoint Logics over Hierarchical Structures
Hierarchical graph definitions allow a modular description of graphs using modules for the specification of repeated substructures. Beside this modularity, hierarchical graph de...
Stefan Göller, Markus Lohrey
DISOPT
2008
93views more  DISOPT 2008»
13 years 7 months ago
Exploiting planarity in separation routines for the symmetric traveling salesman problem
At present, the most successful approach to solving large-scale instances of the Symmetric Traveling Salesman Problem to optimality is branch-and-cut. The success of branch-and-cu...
Adam N. Letchford, Nicholas A. Pearson
ALGORITHMICA
2011
13 years 2 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar