Call for Papers : Volume 15, Issue 05, May 2024, Open Access; Impact Factor; Peer Reviewed Journal; Fast Publication

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Affinely independent solutions based algorithm for the dicycle polytope

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In this paper, we consider the polytope P(G) of all elementary dicycles of the digraph G. Using the concept of affinely independence, we show how to construct elementary dicycles that incidence vectors are affinelyindependent. This technique is therefore applied to determine the already known dimension of the polytope P(G).

Author: 
Mamane Souleye Ibrahim and Oumarou Abdou Arbi
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