Upward Spirality and Upward Planarity Testing

2010 ◽  
Vol 23 (4) ◽  
pp. 1842-1899 ◽  
Author(s):  
Walter Didimo ◽  
Francesco Giordano ◽  
Giuseppe Liotta
Keyword(s):  
Upward Planarity

scholarly journals Quasi-Upward Planarity

1998 ◽  
pp. 15-29 ◽  
Author(s):  
Paola Bertolazzi ◽  
Giuseppe Di Battista ◽  
Walter Didimo
Keyword(s):  
Upward Planarity

TWO FIXED-PARAMETER TRACTABLE ALGORITHMS FOR TESTING UPWARD PLANARITY

2006 ◽  
Vol 17 (05) ◽  
pp. 1095-1114 ◽  
Author(s):  
PATRICK HEALY ◽  
KAROL LYNCH
Keyword(s):  
Standard Technique ◽  
Fixed Parameter Tractable ◽  
Fixed Parameter ◽  
Upward Planarity

In this paper we consider the problem of testing an arbitrary digraph G = (V,E) for upward planarity. In particular we describe two fixed-parameter tractable algorithms for testing the upward planarity of G. The first algorithm that we present can test the upward planarity of G in O(2t · t! · |V|2)-time where t is the number of triconnected components of G. The second algorithm that we present uses a standard technique known as kernelisation and can test the upward planarity of G in O(|V|2 + k4 · (2k)!)-time, where k = |E| - |V|.

Rolling Upward Planarity Testing of Strongly Connected Graphs

2013 ◽  
pp. 38-49 ◽  
Author(s):  
Christopher Auer ◽  
Christian Bachmaier ◽  
Franz J. Brandenburg ◽  
Kathrin Hanauer
Keyword(s):  
Connected Graphs ◽  
Strongly Connected ◽  
Upward Planarity

scholarly journals Optimal Upward Planarity Testing of Single-Source Digraphs

1998 ◽  
Vol 27 (1) ◽  
pp. 132-169 ◽  
Author(s):  
Paola Bertolazzi ◽  
Giuseppe Di Battista ◽  
Carlo Mannino ◽  
Roberto Tamassia
Keyword(s):  
Single Source ◽  
Upward Planarity

scholarly journals Upward and quasi-upward planarity testing of embedded mixed graphs

2014 ◽  
Vol 526 ◽  
pp. 75-89 ◽  
Author(s):  
Carla Binucci ◽  
Walter Didimo ◽  
Maurizio Patrignani
Keyword(s):  
Upward Planarity ◽  
Mixed Graphs

scholarly journals Optimal upward planarity testing of single-source digraphs

1993 ◽  
pp. 37-48 ◽  
Author(s):  
Paola Bertolazzi ◽  
Giuseppe Di Battista ◽  
Carlo Mannino ◽  
Roberto Tamassia
Keyword(s):  
Single Source ◽  
Upward Planarity
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