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» On the Number of Cycles in Planar Graphs
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GD
2006
Springer
13 years 10 months ago
Planar Decompositions and the Crossing Number of Graphs with an Excluded Minor
Tree decompositions of graphs are of fundamental importance in structural and algorithmic graph theory. Planar decompositions generalise tree decompositions by allowing an arbitrar...
David R. Wood, Jan Arne Telle
JDA
2010
131views more  JDA 2010»
13 years 4 months ago
Convex drawings of hierarchical planar graphs and clustered planar graphs
: Hierarchical graphs are graphs with layering structures; clustered graphs are graphs with recursive clustering structures. Both have applications in VLSI design, CASE tools, soft...
Seok-Hee Hong, Hiroshi Nagamochi
COCO
2010
Springer
131views Algorithms» more  COCO 2010»
13 years 3 months ago
On the Matching Problem for Special Graph Classes
An even cycle in a graph is called nice by Lov
Thanh Minh Hoang
STOC
2010
ACM
274views Algorithms» more  STOC 2010»
14 years 3 months ago
Odd Cycle Packing
We study the ratio between the minimum size of an odd cycle vertex transversal and the maximum size of a collection of vertex-disjoint odd cycles in a planar graph. We show that th...
Ken-ichi Kawarabayashi and Bruce Reed
ESA
1999
Springer
95views Algorithms» more  ESA 1999»
13 years 10 months ago
A Fast General Methodology for Information - Theoretically Optimal Encodings of Graphs
We propose a fast methodology for encoding graphs with information-theoretically minimum numbers of bits. Specifically, a graph with property π is called a π-graph. If π satis...
Xin He, Ming-Yang Kao, Hsueh-I Lu