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» On the maximum number of edges in quasi-planar graphs
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ADHOCNOW
2008
Springer
15 years 4 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»
15 years 3 months 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»
15 years 4 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»
14 years 9 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
14 years 9 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