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SIAMDM
2002
124views more  SIAMDM 2002»
15 years 3 months ago
Counting Claw-Free Cubic Graphs
Let Hn be the number of claw-free cubic graphs on 2n labeled nodes. Combinatorial reductions are used to derive a second order, linear homogeneous differential equation with polyno...
Edgar M. Palmer, Ronald C. Read, Robert W. Robinso...
PVLDB
2010
151views more  PVLDB 2010»
15 years 2 months ago
Scalable Discovery of Best Clusters on Large Graphs
The identification of clusters, well-connected components in a graph, is useful in many applications from biological function prediction to social community detection. However, ...
Kathy Macropol, Ambuj K. Singh
141
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NETWORKS
2006
15 years 4 months ago
A simple algorithm that proves half-integrality of bidirected network programming
In a bidirected graph, each end of each edge is independently oriented. We show how to express any column of the incidence matrix as a half-integral linear combination of any colum...
Ethan D. Bolker, Thomas Zaslavsky
CDC
2008
IEEE
120views Control Systems» more  CDC 2008»
15 years 10 months ago
On time-scale designs for networks
—We motivate the problem of designing a subset of the edge weights in a graph, to shape the spectrum of an associated linear time-invariant dynamics. We address a canonical desig...
Sandip Roy, Yan Wan, Ali Saberi
AAECC
2007
Springer
118views Algorithms» more  AAECC 2007»
15 years 10 months ago
The "Art of Trellis Decoding" Is NP-Hard
Given a linear code C, the fundamental problem of trellis decoding is to find a coordinate permutation of C that yields a code C′ whose minimal trellis has the least state-compl...
Navin Kashyap