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» Unicyclic graphs with exactly two main eigenvalues
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EJC
2006
13 years 4 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer
CDC
2010
IEEE
119views Control Systems» more  CDC 2010»
12 years 12 months ago
Motion planning in quantum control via intersection of eigenvalues
In this paper we consider the problem of inducing a transition in a controlled quantum mechanical system whose spectrum loses simplicity for some values of the control. We study th...
Ugo V. Boscain, Francesca C. Chittaro, Paolo Mason...
CORR
2012
Springer
272views Education» more  CORR 2012»
12 years 18 days ago
Fast and Exact Top-k Search for Random Walk with Restart
Graphs are fundamental data structures and have been employed for centuries to model real-world systems and phenomena. Random walk with restart (RWR) provides a good proximity sco...
Yasuhiro Fujiwara, Makoto Nakatsuji, Makoto Onizuk...
INFOCOM
2007
IEEE
13 years 11 months ago
Towards Topology Aware Networks
— We focus on efficient protocols that enhance a network with topology awareness. We discuss centralized algorithms with provable performance, and introduce decentralized asynch...
Christos Gkantsidis, Gagan Goel, Milena Mihail, Am...
GC
2008
Springer
13 years 5 months ago
Laplacian Spectrum of Weakly Quasi-threshold Graphs
In this paper we study the class of weakly quasi-threshold graphs that are obtained from a vertex by recursively applying the operations (i) adding a new isolated vertex, (ii) addi...
R. B. Bapat, A. K. Lal, Sukanta Pati