Let Mbe the matroid on the set E= {a, b, c, d} whose bases are {a,...

 

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Let Mbe the matroid on the set E= {a, b, c, d} whose bases are {a, b}, {a, c}, {a, d}, {b, c}, {b, d} and {c, d). Write down the cycles of M, and deduce that there is no graph G with Mas its cycle matroid. Let Mbe the matroid on the set E= {a, b, c, d} whose bases are {a, b}, {a, c}, {a, d}, {b, c}, {b, d} and {c, d). Write down the cycles of M, and deduce that there is no graph G with Mas its cycle matroid.