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» Connecting face hitting sets in planar graphs
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WG
2007
Springer
14 years 1 months ago
Mixing 3-Colourings in Bipartite Graphs
For a 3-colourable graph G, the 3-colour graph of G, denoted C3(G), is the graph with node set the proper vertex 3-colourings of G, and two nodes adjacent whenever the correspondi...
Luis Cereceda, Jan van den Heuvel, Matthew Johnson
DCG
2011
13 years 2 months ago
Small Grid Embeddings of 3-Polytopes
We introduce an algorithm that embeds a given 3-connected planar graph as a convex 3-polytope with integer coordinates. The size of the coordinates is bounded by O(27.55n ) = O(18...
Ares Ribó Mor, Günter Rote, Andr&eacut...
APPROX
2009
Springer
195views Algorithms» more  APPROX 2009»
14 years 2 months ago
Approximating Node-Connectivity Augmentation Problems
The (undirected) Node Connectivity Augmentation (NCA) problem is: given a graph J = (V, EJ ) and connectivity requirements {r(u, v) : u, v ∈ V }, find a minimum size set I of n...
Zeev Nutov
IPPS
2002
IEEE
14 years 11 days ago
Dominating Set Based Bluetooth Scatternet Formation with Localized Maintenance
This paper addresses the problem of scatternet formation and maintenance for multi-hop Bluetooth based personal area and ad hoc networks with minimal communication overhead. Each ...
Ivan Stojmenovic
JDA
2010
95views more  JDA 2010»
13 years 5 months ago
Sigma-local graphs
We introduce and analyze σ-local graphs, based on a definition of locality by Erickson [12]. We present two algorithms to construct such graphs, for any real number σ > 1 an...
Prosenjit Bose, Sébastien Collette, Stefan ...