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» Tight Bounds for Graph Problems in Insertion Streams
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ICALP
2011
Springer
14 years 7 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
ADHOCNOW
2004
Springer
15 years 9 months ago
Analysis of the Information Propagation Time Among Mobile Hosts
Consider k particles, 1 red and k −1 white, chasing each other on the nodes of a graph G. If the red one catches one of the white, it “infects” it with its color. The newly ...
Tassos Dimitriou, Sotiris E. Nikoletseas, Paul G. ...
ESA
2008
Springer
102views Algorithms» more  ESA 2008»
15 years 5 months ago
Succinct Representations of Arbitrary Graphs
Abstract. We consider the problem of encoding a graph with n vertices and m edges compactly supporting adjacency, neighborhood and degree queries in constant time in the log n-bit ...
Arash Farzan, J. Ian Munro
STACS
2009
Springer
15 years 10 months ago
The Price of Anarchy in Cooperative Network Creation Games
We analyze the structure of equilibria and the price of anarchy in the family of network creation games considered extensively in the past few years, which attempt to unify the net...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Hamid M...
IANDC
2007
123views more  IANDC 2007»
15 years 3 months ago
Hardness of fully dense problems
In the past decade, there has been a stream of work in designing approximation schemes for dense instances of NP-Hard problems. These include the work of Arora, Karger and Karpins...
Nir Ailon, Noga Alon