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We consider convex functions modeling flows in an arborescent network. The notion of majorization on trees is used to study some classical convexity results in this framework

mathematical problems in engineering

Some Remarks on Convex Network Flows for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>K</mml:mi></mml:mrow></mml:math>-Spiders

Some Remarks on Convex Network Flows forK-Spiders