delaunay graphs
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2018 ◽  
Vol 74 ◽  
pp. 50-65 ◽  
Author(s):  
Prosenjit Bose ◽  
Jean-Lou De Carufel ◽  
André van Renssen
Keyword(s):  




Author(s):  
Prosenjit Bose ◽  
Jean-Lou De Carufel ◽  
André van Renssen
Keyword(s):  


2015 ◽  
Vol 48 (9) ◽  
pp. 646-660 ◽  
Author(s):  
Ahmad Biniaz ◽  
Anil Maheshwari ◽  
Michiel Smid
Keyword(s):  


2015 ◽  
Vol 54 (4) ◽  
pp. 905-929 ◽  
Author(s):  
Pankaj K. Agarwal ◽  
Jie Gao ◽  
Leonidas J. Guibas ◽  
Haim Kaplan ◽  
Natan Rubin ◽  
...  
Keyword(s):  


2015 ◽  
Vol 48 (2) ◽  
pp. 134-146 ◽  
Author(s):  
Esther M. Arkin ◽  
Antonio Fernández Anta ◽  
Joseph S.B. Mitchell ◽  
Miguel A. Mosteiro
Keyword(s):  




2014 ◽  
Vol 24 (02) ◽  
pp. 153-171
Author(s):  
ABHIJEET KHOPKAR ◽  
SATHISH GOVINDARAJAN

Delaunay and Gabriel graphs are widely studied geometric proximity structures. Motivated by applications in wireless routing, relaxed versions of these graphs known as Locally Delaunay Graphs (LDGs) and Locally Gabriel Graphs (LGGs) were proposed. We propose another generalization of LGGs called Generalized Locally Gabriel Graphs (GLGGs) in the context when certain edges are forbidden in the graph. Unlike a Gabriel Graph, there is no unique LGG or GLGG for a given point set because no edge is necessarily included or excluded. This property allows us to choose an LGG/GLGG that optimizes a parameter of interest in the graph. We show that computing an edge maximum GLGG for a given problem instance is NP-hard and also APX-hard. We also show that computing an LGG on a given point set with dilation ≤ k is NP-hard. Finally, we give an algorithm to verify whether a given geometric graph G = (V,E) is a valid LGG.



2013 ◽  
Vol 54 (3) ◽  
pp. 459-461
Author(s):  
A. M. Gurin


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