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math.PR2013
Degeneracy in sparse ERGMs with functions of degrees as sufficient statistics
Sumit Mukherjee
A sufficient criterion for "non-degeneracy" is given for Exponential Random Graph Models on sparse graphs with sufficient statistics which are functions of the degree sequence. Thi…
math.PR2013
Universal Limit Theorems in Graph Coloring Problems With Connections to Extremal Combinatorics
Bhaswar B. Bhattacharya, Persi Diaconis, Sumit Mukherjee
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs. These can be seen as generalizations of the birthday pr…
math.PR2013★ 30 cited
Estimation in exponential families on permutations
Sumit Mukherjee
Asymptotics of the normalizing constant is computed for a class of one parameter exponential families on permutations which includes Mallows model with Spearmans's Footrule and Spe…