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» On Graph Crossing Number and Edge Planarization
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JGAA
1998
116views more  JGAA 1998»
14 years 9 months ago
New Lower Bounds For Orthogonal Drawings
An orthogonal drawing of a graph is an embedding of the graph in the two-dimensional grid such that edges are routed along grid-lines. In this paper we explore lower bounds for or...
Therese C. Biedl
77
Voted
ICCSA
2004
Springer
15 years 2 months ago
Searching for 2D Spatial Network Holes
Research involving different forms of networks, such as internet networks, social networks, and cellular networks, has increasingly become an important field of study. From this wo...
Femke Reitsma, Shane Engel
ORDER
2006
97views more  ORDER 2006»
14 years 9 months ago
Upward Three-Dimensional Grid Drawings of Graphs
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line segments representing the edges ...
Vida Dujmovic, David R. Wood
CORR
2010
Springer
92views Education» more  CORR 2010»
14 years 9 months ago
Exact counting of Euler Tours for generalized series-parallel graphs
We give a simple polynomial-time algorithm to exactly count the number of Euler Tours (ETs) of any Eulerian generalized series-parallel graph, and show how to adapt this algorithm...
Prasad Chebolu, Mary Cryan, Russell A. Martin
AI
2010
Springer
14 years 9 months ago
Optimal query complexity bounds for finding graphs
We consider the problem of finding an unknown graph by using two types of queries with an additive property. Given a graph, an additive query asks the number of edges in a set of ...
Sung-Soon Choi, Jeong Han Kim