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» Degrees of monotone complexity
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STOC
2003
ACM
171views Algorithms» more  STOC 2003»
16 years 4 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
CORR
2011
Springer
202views Education» more  CORR 2011»
14 years 11 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
SIGCOMM
2006
ACM
15 years 10 months ago
Systematic topology analysis and generation using degree correlations
Researchers have proposed a variety of metrics to measure important graph properties, for instance, in social, biological, and computer networks. Values for a particular graph met...
Priya Mahadevan, Dmitri V. Krioukov, Kevin R. Fall...
COCO
2007
Springer
106views Algorithms» more  COCO 2007»
15 years 10 months ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod
STACS
2001
Springer
15 years 8 months ago
Generalized Langton's Ant: Dynamical Behavior and Complexity
Langton’s ant is a simple discrete dynamical system, with a surprisingly complex behavior. We study its extension to general planar graphs. First we give some relations between c...
Anahí Gajardo, Eric Goles Ch., André...