Abstract
In this paper, we consider the symmetric and Hankel-symmetric transportation polytope , which is the convex set of all symmetric and Hankel-symmetric non-negative matrices with prescribed row sum vector R and prescribed column sum vector S. We characterize all extreme points of . Moreover, we show that the extreme points of the polytope of symmetric and Hankel-symmetric doubly stochastic matrices, can be obtained from the extreme points of by specializing to the case that
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