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» Random graphs with forbidden vertex degrees
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ICALP
2011
Springer
12 years 12 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
SIAMDM
2010
114views more  SIAMDM 2010»
13 years 6 months ago
Rank-Based Attachment Leads to Power Law Graphs
Abstract. We investigate the degree distribution resulting from graph generation models based on rank-based attachment. In rank-based attachment, all vertices are ranked according ...
Jeannette Janssen, Pawel Pralat
WEA
2005
Springer
154views Algorithms» more  WEA 2005»
14 years 1 months ago
Experimental Evaluation of the Greedy and Random Algorithms for Finding Independent Sets in Random Graphs
This work is motivated by the long-standing open problem of designing a polynomial-time algorithm that with high probability constructs an asymptotically maximum independent set in...
Mark K. Goldberg, D. Hollinger, Malik Magdon-Ismai...
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
11 years 11 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
CORR
2008
Springer
118views Education» more  CORR 2008»
13 years 8 months ago
Decentralized Search with Random Costs
A decentralized search algorithm is a method of routing on a random graph that uses only limited, local, information about the realization of the graph. In some random graph model...
Oskar Sandberg