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Creators/Authors contains: "Matsushita, Koji"

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  1. ; ; (, Graphs and Combinatorics)
    Abstract The matching polytope of a graphGis the convex hull of the indicator vectors of the matchings onG. We characterize the graphs whose associated matching polytopes are Gorenstein, and then prove that all Gorenstein matching polytopes possess the integer decomposition property. As a special case study, we examine the matching polytopes of wheel graphs and show that they arenotGorenstein, butdopossess the integer decomposition property. 
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