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تسجيل مستخدم جديدRealizable Sticky Matroid Conjecture
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Jaeho Shin
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We give a criterion for modular extension of rank-4 hypermodular matroids, and prove a weakening of Kantors conjecture for rank-4 realizable matroids. This proves the sticky matroid conjecture and Kantors conjecture for realizable matroids due to an argument of Bachem, Kern, and Bonin, and due to an equivalence argument of Hochstattler and Wilhelmi, respectively.
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We show Kantors conjecture (1974) holds in rank 4. This proves both the sticky matroid conjecture of Poljak and Turzik (1982) and the whole Kantors conjecture, due to an argument of Bachem, Kern, and Bonin, and an equivalence argument of Hochstattler and Wilhelmi, respectively.
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