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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 10 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
73
Voted
JGAA
2006
72views more  JGAA 2006»
14 years 11 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 3 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 11 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 6 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