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» Planar graph bipartization in linear time
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GD
2007
Springer
15 years 3 months ago
Efficient Extraction of Multiple Kuratowski Subdivisions
Abstract. A graph is planar if and only if it does not contain a Kuratowski subdivision. Hence such a subdivision can be used as a witness for non-planarity. Modern planarity testi...
Markus Chimani, Petra Mutzel, Jens M. Schmidt
IPL
2007
101views more  IPL 2007»
14 years 11 months ago
Adjacency queries in dynamic sparse graphs
We deal with the problem of maintaining a dynamic graph so that queries of the form “is there an edge between u and v?” are processed fast. We consider graphs of bounded arbor...
Lukasz Kowalik
99
Voted
DAM
2008
92views more  DAM 2008»
14 years 11 months ago
Convex drawings of graphs with non-convex boundary constraints
: In this paper, we study a new problem of convex drawing of planar graphs with non-convex boundary constraints. It is proved that every triconnected plane graph whose boundary is ...
Seok-Hee Hong, Hiroshi Nagamochi
102
Voted
CORR
2012
Springer
249views Education» more  CORR 2012»
13 years 7 months ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
15 years 3 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas