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» On the maximum number of edges in quasi-planar graphs
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ADHOCNOW
2008
Springer
14 years 1 months ago
Local Maximal Matching and Local 2-Approximation for Vertex Cover in UDGs
We present 1 − approximation algorithms for the maximum matching problem in location aware unit disc graphs and in growth-bounded graphs. The algorithm for unit disk graph is loc...
Andreas Wiese, Evangelos Kranakis
ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
14 years 27 days ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki
IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
14 years 1 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian
IPL
2007
87views more  IPL 2007»
13 years 7 months ago
The forwarding indices of augmented cubes
For a given connected graph G of order n, a routing R in G is a set of n(n − 1) elementary paths specified for every ordered pair of vertices in G. The vertex (resp. edge) forw...
Min Xu, Jun-Ming Xu
NETWORKS
2007
13 years 6 months ago
Vertex disjoint routings of cycles over tori
We study the problem of designing a survivable WDM network based on covering the communication requests with subnetworks that are protected independently from each other. We consi...
Jean-Claude Bermond, Min-Li Yu