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Abstract We study the problem of assortative and disassortative partitions on random d-regular graphs. Nodes in the graph are partitioned into two...

Paper statistical physics random graphs Phase transitions partitions cavity method disordered systems message passing algorithms

The theory of integer partitions is a field of much investigative interest to mathematicians and physicists. Unlike some of the more well-known sequences such as the Fibonacci Numbers, integer partitions follow no obvious...

partitions Rogers-Ramanujan infinite series mathematics Number theory Physical Sciences and Mathematics