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COMGEO
2007
ACM
14 years 9 months ago
Drawings of planar graphs with few slopes and segments
We study straight-line drawings of planar graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-...
Vida Dujmovic, David Eppstein, Matthew Suderman, D...
IDEAS
2005
IEEE
111views Database» more  IDEAS 2005»
15 years 3 months ago
Evaluation of Queries on Tree-Structured Data Using Dimension Graphs
The recent proliferation of XML-based standards and technologies for managing data on the Web demonstrates the need for effective and efficient management of treestructured data....
Theodore Dalamagas, Dimitri Theodoratos, Antonis K...
ICPADS
2007
IEEE
15 years 4 months ago
Parallel Minimum Spanning Tree Heuristic for the steiner problem in graphs
Given an undirected graph with weights associated with its edges, the Steiner tree problem consists of finding a minimum weight subtree spanning a given subset of (terminal) nodes...
Hoda Akbari, Zeinab Iranmanesh, Mohammad Ghodsi
ALGORITHMICA
2010
147views more  ALGORITHMICA 2010»
14 years 10 months ago
Note on the Structure of Kruskal's Algorithm
We study the merging process when Kruskal's algorithm is run with random graphs as inputs. Our aim is to analyze this process when the underlying graph is the complete graph ...
Nicolas Broutin, Luc Devroye, Erin McLeish
WG
2004
Springer
15 years 3 months ago
Treelike Comparability Graphs: Characterization, Recognition, and Applications
An undirected graph is a treelike comparability graph if it admits a transitive orientation such that its transitive reduction is a tree. We show that treelike comparability graphs...
Sabine Cornelsen, Gabriele Di Stefano