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CATS
2008
13 years 11 months ago
Graph Classes and the Complexity of the Graph Orientation Minimizing the Maximum Weighted Outdegree
Given an undirected graph with edge weights, we are asked to find an orientation, i.e., an assignment of a direction to each edge, so as to minimize the weighted maximum outdegree...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono
COMBINATORICS
2004
82views more  COMBINATORICS 2004»
13 years 10 months ago
Decomposing Infinite 2-Connected Graphs into 3-Connected Components
In the 1960's, Tutte presented a decomposition of a 2-connected finite graph into 3-connected graphs, cycles and bonds. This decomposition has been used to reduce problems on...
R. Bruce Richter
CORR
2010
Springer
105views Education» more  CORR 2010»
13 years 10 months ago
Exact Shortest Path Queries for Planar Graphs Using Linear Space
We provide the first linear-space data structure with provable sublinear query time for exact point-topoint shortest path queries in planar graphs. We prove that for any planar gr...
Shay Mozes, Christian Sommer
WG
2010
Springer
13 years 8 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang
CVPR
2009
IEEE
15 years 5 months ago
Efficient Planar Graph Cuts with Applications in Computer Vision
We present a fast graph cut algorithm for planar graphs. It is based on the graph theoretical work [2] and leads to an efficient method that we apply on shape matching and im- a...
Daniel Cremers, Eno Töppe, Frank R. Schmidt