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» Sums of powers of the degrees of a graph
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SIAMDM
2010
114views more  SIAMDM 2010»
14 years 8 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
64
Voted
JGAA
2006
72views more  JGAA 2006»
14 years 9 months ago
A Multilevel Algorithm for the Minimum 2-sum Problem
In this paper we introduce a direct motivation for solving the minimum 2-sum problem, for which we present a linear-time algorithm inspired by the Algebraic Multigrid approach whi...
Ilya Safro, Dorit Ron, Achi Brandt
CORR
2011
Springer
179views Education» more  CORR 2011»
14 years 1 months ago
Approximating minimum-power edge-multicovers
Given a graph with edge costs, the power of a node is the maximum cost of an edge incident to it, and the power of a graph is the sum of the powers of its nodes. Motivated by appli...
Nachshon Cohen, Zeev Nutov
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
14 years 9 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos
CORR
2011
Springer
202views Education» more  CORR 2011»
14 years 4 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis