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» On the hyperbolicity constant in graphs
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COMGEO
2010
ACM
15 years 6 months ago
The complexity of flow on fat terrains and its i/o-efficient computation
We study the complexity and the I/O-efficient computation of flow on triangulated terrains. We present an acyclic graph, the descent graph, that enables us to trace flow paths in ...
Mark de Berg, Otfried Cheong, Herman J. Haverkort,...
COMBINATORICA
2007
129views more  COMBINATORICA 2007»
15 years 6 months ago
Birth control for giants
The standard Erd˝os-Renyi model of random graphs begins with n isolated vertices, and at each round a random edge is added. Parametrizing n 2 rounds as one time unit, a phase tra...
Joel H. Spencer, Nicholas C. Wormald
CORR
2011
Springer
202views Education» more  CORR 2011»
15 years 1 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
STOC
2009
ACM
133views Algorithms» more  STOC 2009»
16 years 6 months ago
Near-perfect load balancing by randomized rounding
We consider and analyze a new algorithm for balancing indivisible loads on a distributed network with n processors. The aim is minimizing the discrepancy between the maximum and m...
Tobias Friedrich, Thomas Sauerwald
STACS
2010
Springer
16 years 1 months ago
The Complexity of Approximating Bounded-Degree Boolean #CSP
The degree of a CSP instance is the maximum number of times that a variable may appear in the scope of constraints. We consider the approximate counting problem for Boolean CSPs wi...
Martin E. Dyer, Leslie Ann Goldberg, Markus Jalsen...