On the Surface Area of the Alternating Group Networks

E. Cheng (USA), K. Qiu (Canada), and Z. Shen (USA)


Surface area, Whitney numbers of the second kind of the poset, node symmetric network, alternating group network, combinatorics related to computing, parallel computing .


We derive an explicit formula, via an elementary counting approach, for the surface area of the alternating group network, i.e., the number of nodes at the same distance from any node in such a network. This approach can be followed to derive such formulas for some of the other node symmetric networks as well..

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