I am attending a School on Network Science at ECE, IISc, organized as part of the IMI, and funded by ICTS. I jotted down some points for revision/future look-up.

Networks, Rumours, and Epidemics [Dr Ayalvadi Ganesh]
References

• Grimmett and Frieze
• Damon Mosk-Aoyoma and Devavrat Shah. Distributed Computation of Separable Functions. IEEE Trans. Info. Theory. 2008
• Consensus. de Groot et al.
• Voter model. Hassin and Peleg, James Cruise and Ganesh Ayalvadi
• Wright-Fisher model, Morale model
• Wisdom of Crowds. Golub and Jackson
• Acemoglu, Dahleh, Lobel, Ozdaglar
• Kermack and McKendrick. Epidemic model using ODEs
• Ganesh Ayalvadi, Moussalie, Tousley. Effect effect of network topology on epidemic spread. IEEE InfoComm. 2005
• Draief, Ganesh, Moussalie. thresholds for Virus Spread on Nertworks. Ann. Appl. Prob. 2008

Topics

• Coupon Collector Problem
• Stochastic Domination, Strassen's Theorem
• Markov Chains---irreducible, aperiodoc, ergodic, balance equations, invariant distribution, etc.
• Markov Process (continuous time)
• Poisson Process---thinning
• Martingales, stopping time, Optional Stopping Theorem
• Binary Entropy function, Conditional entropy
• Random walks---coalescing RW
• Coupling from the past in MCMC
• Erdos-Renyi graphs, scale-free graphs, expander/ing graphs, unimodular graphs
• Linear recurrences, harmonic functions
• Lattices---infinite lattice
• Perron-Frobenius Theorem---sprectral radius, Perron eigenvalue
• Eigenvalue of e^A, where A is a matrix
• Generalized isoperimetric constant

Ising Models [Andrea Montanari]
Topics

• Hammersley-Clifford Theorem
• Inclusion-Exclusion Principle
• Union bound
• Measures, Concentration
• Gibbs sampling, MCMC, Metropolis
• Constrastive Divergence (Hinton)
• Glauber Markov Chain
• tanh, atanh---properties
• "One-dimensional recursion"
• Inequalities---Markov, Chebyshev, ...
• Sterling number---as related to enumerating number of graphs with p vertices and Cp edges 
• Belief propagation, Generalized BP
• Contraction (on graphs)