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110
Voted
CDC
2010
IEEE
186views Control Systems» more  CDC 2010»
14 years 7 months ago
Approximation and limiting behavior of random models
In this paper, we investigate limiting behavior of linear dynamic systems driven by random stochastic matrices. We introduce and study the new concepts of partial ergodicity and 1-...
Behrouz Touri, Angelia Nedic
108
Voted
SWAT
1994
Springer
117views Algorithms» more  SWAT 1994»
15 years 4 months ago
Improved Approximations of Independent Sets in Bounded-Degree Graphs
Abstract. Finding maximum independent sets in graphs with bounded maximum degree is a well-studied NP-complete problem. We introduce an algorithm schema for improving the approxim...
Magnús M. Halldórsson, Jaikumar Radh...
119
Voted
APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
15 years 6 months ago
Maximum Weight Independent Sets and Matchings in Sparse Random Graphs. Exact Results Using the Local Weak Convergence Method
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
David Gamarnik, Tomasz Nowicki, Grzegorz Swirszcz
111
Voted
SIAMDM
1998
165views more  SIAMDM 1998»
15 years 10 days ago
The Number of Independent Sets in a Grid Graph
If f(m, n) is the (vertex) independence number of the m × n grid graph, then we show that the double limit η = def limm,n→∞ f(m, n) 1 mn exists, thereby refining earlier res...
Neil J. Calkin, Herbert S. Wilf
118
Voted
ENDM
2010
110views more  ENDM 2010»
15 years 23 days ago
Modelling the Hop Constrained Connected Facility Location Problem on Layered Graphs
Gouveia et al. [3] show how to model the Hop Constrained Minimum Spanning tree problem as Steiner tree problem on a layered graph. Following their ideas, we provide three possibil...
Ivana Ljubic, Stefan Gollowitzer