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» Connecting face hitting sets in planar graphs
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73
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WG
2007
Springer
15 years 5 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
111
Voted
DCG
2011
14 years 6 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»
15 years 6 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
15 years 4 months 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»
14 years 10 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 ...