Questions tagged [uniform-matroids]

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what will happen if we contract an element in a uniform matroid? [closed]

Are the parallel elements in a matroid just behaving like loops? If so, why? For example, in $U_{2,3}$ if we contract an element what will happen? In $U_{2,2}$ if we contract an element what Will ...
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what will happen to the uniform matroid $U_{2,m}$ if we remove an element from it?

I am trying to figure out what will happen to the uniform matroid $U_{2,m}$ if we remove an element e from it, where e is neither a coloop nor a loop. I am guessing that it will become disconnected ...
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The values of $m,n$ that makes $U_{m,n}$ graphic.

I am trying to find the values of $m,n$ that makes $U_{m,n}$ graphic. I am guessing that it is only graphic if $n = m + 1,$ I tried $U_{2,4},U_{2,5},U_{3,6}, U_{2,3},U_{4,5}$ and I think I am correct. ...
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