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COMBINATORICS
2006
153views more  COMBINATORICS 2006»
13 years 9 months ago
The Absence of Efficient Dual Pairs of Spanning Trees in Planar Graphs
A spanning tree T in a finite planar connected graph G determines a dual spanning tree T in the dual graph G such that T and T do not intersect. We show that it is not always poss...
T. R. Riley, William P. Thurston
DM
2007
98views more  DM 2007»
13 years 9 months ago
Fast recognition of classes of almost-median graphs
In this paper it is shown that a class of almost-median graphs that includes all planar almost-median graphs can be recognized in O(m log n) time, where n denotes the number of ve...
Wilfried Imrich, Alenka Lipovec, Iztok Peterin, Pe...
ESA
1993
Springer
109views Algorithms» more  ESA 1993»
14 years 1 months ago
Optimal Upward Planarity Testing of Single-Source Digraphs
A digraph is upward planar if it has a planar drawing such that all the edges are monotone with respect to the vertical direction. Testing upward planarity and constructing upward ...
Paola Bertolazzi, Giuseppe Di Battista, Carlo Mann...
ICALP
2009
Springer
14 years 10 months ago
Elimination Graphs
A graph is chordal if it does not contain any induced cycle of size greater than three. An alternative characterization of chordal graphs is via a perfect elimination ordering, whi...
Yuli Ye, Allan Borodin
ISAAC
1998
Springer
94views Algorithms» more  ISAAC 1998»
14 years 1 months ago
Two-Layer Planarization in Graph Drawing
Abstract. We study the two-layer planarization problems that have applications in Automatic Graph Drawing. We are searching for a two-layer planar subgraph of maximumweight in a gi...
Petra Mutzel, René Weiskircher